2
ЦИФРОВІ ВИМІРЮВАЛЬНІ ПРИЛАДИ
Загальні відомості про цифрові вимірювальні прилади
Особливості цифрових вимірювальних приладів
Приведене, згідно з ДСТУ 2681, визначення цифрового вимірювального
приладу базується на формі подання результату вимірювання, тобто
особливість цифрових вимірювальних приладів (ЦВП) полягає в тому, що
результат вимірювання відбивається на показувальному пристрої у вигляді
числа, як правило, десяткового, або символів. Ця особливість належить до
зовнішніх ознак ЦВП, вона не обумовлює їхніх принципів побудови і
технічних характеристик, але забезпечує зручність відліку і, головне,
усуває суб’єктивні помилки оператора. Проте таке визначення ЦВП не
враховує іншу, загальноприйняту особливість наявність автоматичного
переходу від аналогової до дискретної форми подання одного або двох
сигналів на якомусь етапі їх перетворення в приладі, що виконується
аналого-цифровим перетворювачем (АЦП). Аналого-цифрове перетворення є
принципово якісною відзнакою ЦВП і помітно впливає на їх технічні,
особливо метрологічні характеристики.
Операції аналого-цифрового перетворення
Аналого-цифрове перетворення передбачає виконання трьох операцій:
дискретизацію, квантування і цифрове кодування вимірюваної величини або
функціонально з нею зв’язаного сигналу вимірювальної інформації (далі
просто сигналу). Пояснимо суть цих операцій.
Операція дискретизації зводиться до подання безперервного протягом часу
T сигналу x(t) (рис.7.1, а) низкою його миттєвих значень xq = x(tq),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, взятих у задані, строго фіксовані моменти часу tq, які називають
моментами дискретизації.
Дискретизований сигнал xд(t) у вигляді n миттєвих значень xq сигналу
x(t) подано на рис.7.1, б. Тільки за цією скінченною множиною миттєвих
значень xq сигналу x(t) визначають результат вимірювання, а останні
значення сигналу не враховуються. При дискретизації змінного сигналу
x(t) протягом часу T частина інформації про нього втрачається, що
призводить до методичної похибки вимірювання; її називають похибкою
дискретизації. Очевидно, вона буде тим меншою, чим більше число миттєвих
значень сигналу xq бере участь в одержанні результату вимірювання.
Інтервал часу
picscalex100010009000003d20000000200150000000000050000000902000000000400
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7720526f6d616e000080040000002d01000008000000320a1002eb010100000071001500
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6e000080040000002d01010004000000f001000008000000320aa0014a01010000007400
10000000fb0240fe0000000000009001000000020002001053796d626f6c000204000000
2d01000004000000f001010008000000320aa00139000100000044000a00000026060f00
0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f0010000030000000000 між двома
суміжними моментами дискретизації
picscalex100010009000003b20000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
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7720526f6d616e00009f040000002d01000008000000320a1002e1000100000071001500
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00009f040000002d01010004000000f001000008000000320aa0014000010000007400
0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02
000000cc0102022253797374656d00cc040000002d01000004000000f001010003000000
0000 і
picscalex100010009000003da0000000200150000000000050000000902000000000400
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00000b0200000000050000000c02a00200031200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffffc0020000570200000b00000026060f000c004d61746854797065
0000800015000000fb02c0fe0000000000009001000000000402001054696d6573204e65
7720526f6d616e000080040000002d01000008000000320a10022e020100000031000800
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001054696d6573204e657720526f6d616e000080040000002d01010004000000f0010000
08000000320aa001400001000000740010000000fb02c0fe000000000000900100000002
0002001053796d626f6c0002040000002d01000004000000f001010008000000320a1002
9001010000002b000a00000026060f000a00ffffffff01000000000010000000fb021000
070000000000bc02000000cc0102022253797374656d00cc040000002d01010004000000
f0010000030000000000 називають інтервалом або кроком дискретизації.
picscalex720100090000037bba000012001610000000001610000026060f002220574d4
64301000000000001001a7800000000090000000020000040fd0000401d0100010000007
80000000800000010000000c50500004d0900000000000000000000d82800008f4d00002
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a090000250000000c00000008000080250000000c000000040000805600000030000000e
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20a7d0748010100000031bf1500040000002d010d0004000000f00109001c000000fb022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Рис. 1. Часові діаграми операцій АЦП:
а – вихідний сигнал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; б – дискретизований сигнал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;
в – квантований сигнал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; г – кодовий сигнал
Він може бути постійним t = const (рівномірна дискретизація) або змінним
(нерівномірна дискретизація). У ЦВП звичайно використовують рівномірну
дискретизацію як більш просту для апаратурної реалізації, в цьому разі
wmetafile8010009000003b1000000020017000000000005000000090200000000040000
0002010100050000000102ffffff00040000002e01180005000000310201000000050000
000b0200000000050000000c02c00120021200000026060f001a00ffffffff0000100000
00c0ffffffd0ffffffe0010000900100000b00000026060f000c004d6174685479706500
00200010000000fb0240fe0000000000009001000000020002001053796d626f6c000204
0000002d01000009000000320a80013e00010000004400120117000000fb0240fe000000
0000009001000000cc0002001054696d6573204e657720526f6d616e2043797200ccdd04
0000002d01010004000000f001000009000000320a800150010100000074007b000a0000
0026060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000
cc0102022253797374656d00cc040000002d01000004000000f001010003000000000048
00 називають також періодом дискретизації.
Квантування полягає в поданні безперервної за значенням (не за часом)
величини
picscalex100010009000003b20000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00220021200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffffe0010000570200000b00000026060f000c004d61746854797065
0000800015000000fb02c0fe0000000000009001000000000402001054696d6573204e65
7720526f6d616e0000d3040000002d01000008000000320a100243010100000071001500
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e0000d3040000002d01010004000000f001000008000000320aa0014000010000007800
0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02
000000cc0102022253797374656d00cc040000002d01000004000000f001010003000000
0000 у вигляді скінченого числа фіксованих рівнів квантування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, де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, що створюють шкалу квантування (рис.7.1, в).
У ЦВП квантування виконується шляхом порівняння вимірюваної величини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 з сіткою (шкалою) рівнів квантування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,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, які в даному процесі задаються рівномірно або нерівномірно з
інтервалом квантування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.
Кінцевий результат квантування вимірюваної величини xq подається як
число Nq мінімальних (найменших) інтервалів квантування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,
тобто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,
деpicscalex100010009000003ad00000002001500000000000500000009020000000004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 називають
номінальною ціною одиниці найменшого розряду вихідного коду, або
дискретністю чи ціною поділки ЦВП, або інтервалом квантування.
Для наочності шкала квантування на рис.7.1, в взята рівномірною, а
значення квантованого сигналу xк(t) (згідно з одним із варіантів
квантування, що пояснюються нижче, дискретизовані значення хq
замінюються найближчим нижнім рівнем квантування) показані умовним
знаком х. Ці значення в ЦВП кодуються частіш за все двійковим або
двійково-десятковим кодом. Проте для наочності на рис.7.1, г вони
представлені в одиничному коді Nq. Тому числу рівнів квантування Nq,
яким приблизно зображено миттєве значення сигналу xq, відповідає така ж
кількість імпульсів у його кодовій групі.
Найчастіше в ЦВП аналого-цифрового перетворення зазнає постійна фізична
величина X. Перетворення виконується в одній точці (в один момент часу)
або в кількох точках (моментах часу) для статистичної обробки
результатів вимірювання з метою зменшення випадкової складової похибки
вимірювань. У цьому випадку результат одного перетворення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,
деNx – ціле число інтервалів квантування Хк, що відповідає значенню
фізичної величини Х.
Аналого-цифрове перетворення сигналів здійснюється в діапазоні від 0 до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 (уніполярні АЦП) або в діапазоні від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 до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 (біполярні АЦП). Надалі для конкретності і
деякого спрощення часових діаграм обмежимося уніполярними АЦП, що не
впливає на спільність викладених положень. У разі уніполярного АЦП кожне
значення вимірюваної величини X у діапазоні від 0 до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можна розглядати як елемент нескінченної множини значень вхідного
сигналу, яка за допомогою АЦП відбивається скінченною множиною значень
його вихідного сигналу.
Загальна кількість рівнів квантування, рівномірно розміщених у робочому
діапазоні ЦВП, визначається числом потрібних значень результату
вимірювання, що може бути відображено на цифровому відліковому пристрої
ЦВП, і визначає розрядність або ємність останнього. Так, у ЦВП з
чотирирозрядним десятковим відліковим пристроєм (максимальне показання
9999) нескінченна множина значень безперервної вимірюваної величини, які
знаходяться в діапазоні його вимірювань, зводиться до 10000 (з
урахуванням нульового показу) можливих значень результату вимірювань. Це
означає, що в даному ЦВП шкала квантування має 10000 рівномірно
розташованих рівнів, одному з яких може бути надане будь-яке значення
вимірюваної величини X. При квантуванні довільне миттєве значення
вимірюваної величини xq, що знаходиться між двома рівнями квантування,
наприклад між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 і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, автоматично округлюється,
тобто замінюється одним з цих рівнів: або верхнім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, або нижнім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 (рис.7.1,
в), або найближчим верхнім чи нижнім. Округлення результату вимірювання
при квантуванні призводить до методичної похибки, так званої похибки
квантування або дискретності. Очевидно, похибка квантування відсутня
тільки в одному ідеальному випадку, коли значення xq точно дорівнює
одному з рівнів квантування
picscalex101010009000003d20000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002e0021200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffffa0020000170200000b00000026060f000c004d61746854797065
0000600015000000fb02c0fe0000000000009001010000000402001054696d6573204e65
7720526f6d616e0000f8040000002d01000008000000320a10023f02010000006c001500
0000fb02c0fe0000000000009001000000cc0402001054696d6573204e657720526f6d61
6e00ccf8040000002d01010004000000f001000008000000320a1002a40101000000ea00
10000000fb0240fe0000000000009001000000020002001053796d626f6c000204000000
2d01000004000000f001010008000000320aa00140000100000043000a00000026060f00
0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f0010000030000000000.
Похибка квантування є випадковою величиною, яка підпорядковується
рівномірному закону розподілу. Розташування кривих щільності розподілу
похибки квантування та її числові характеристики (максимальне значення,
математичне сподівання і середнє квадратичне відхилення) визначаються
вибраним варіантом квантування (округлення). На рис.7.2, а, б, в
приведені криві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щільності розподілу похибок квантування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 для варіантів округлення
миттєвого значення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 (рис.7.1, в) відповідно до верхнього, нижнього і найближчого рівнів
квантування, для яких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 визначається рівностями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 або/і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picscalex960100090000033f58000011001610000000001610000026060f002220574d4
6430100000000000100b588000000000500000000200000fc640000fc840000010000008
400000011000000180000008402000011010000000000000000000016360000d41400002
0454d4600000100fc840000390300000e0000000f0000006400000000000000e00300009
3060000d20000002901000000000000000000000000000056004900530049004f0000004
40072006100770069006e006700000000000000250000000c00000008000080250000000
c00000005000080520000004c010000010000009cffffff0000000000000000000000009
0010000000000cc0000000041007200690061006c0000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000c054fb120070fa12009c8df877340000c008fb1200592fde77340000c0f
8ebfd7fd0000000acfb1200dcfa120000100000020000003cc9cb005c000000b3120078f
ffffffe70000000b112007818710378d0fa1200b3cc0078090000008ccc00783cc9cb007
4fecb0007b634600000000005000000eacaed77050000000000000015009001000010006
0fecb00000000000000000000000000000000000000000070fecb0024fb1200235b38600
10000000000000060cacb000000000000000000000000000000000000000000000000000
0000000010101010101010101010360250000000c00000001000000250000000c0000000
e000080280000000c000000010000000a000000100000000000000000000000090000001
00000008f0200002f010000260000001c000000010000000000000001000000000000000
0000000250000000c00000001000000120000000c0000000100000057000000240000004
6000000d7000000c5000000d7000000020000004600d700c500d700250000000c0000000
8000080280000000c00000001000000250000000c00000005000080120000000c0000000
2000000270000001800000001000000000000000000000000000000250000000c0000000
1000000250000000c000000080000805600000048000000c3000000d3000000cb000000d
a0000000b000000cb00d700c300da00c400d900c400d800c400d700c400d700c400d600c
400d500c400d400c300d300cb00d700250000000c00000008000080250000000c0000000
5000080280000000c00000001000000190000000c000000ffffff00520000004c0100000
1000000e4ffffff00000000000000000000000090010000000000cc00000012540069006
d006500730020004e0065007700200052006f006d0061006e00000000000000000000000
000000000000000000000000000000000000000000000000000cb00c453ca000c000000b
3120078ffffffdf20000000b11200781871037898f51200b3cc0078090000008ccc0078c
453ca00ffffffffb31200783f000000c453ca0000accb0000000000883ac40000000000b
112007818710378e0f5120037cc00780900000027cc0078c453ca0000accb0000000000c
453ca0000accb0000001200c81dc400191223600c0000009cf6120003ef007860e20278f
fffffff00f61200ca38405f00accb00bb11236000accb00c053ca0000accb0030e1cb000
000000000000000000000000000000000000000000000000101010101010101010123602
50000000c00000001000000250000000c0000000d000080160000000c000000180000002
50000000c00000001000000180000000c00000000000000120000000c000000010000005
4000000580000006b000000180000007c0000003600000001000000d75aa9412d2d8d416
b00000031000000020000004c000000000000000000000000000000ffffffffffffffff5
0000000300429000a00000008000000120000000c00000002000000250000000c0000000
d000080250000000c00000008000080520000004c01000002000000e8ffffff000000000
000000000000000900100000000000000000012540069006d006500730020004e0065007
700200052006f006d0061006e00000000000000000000000000000000000000000000000
000000000000000000000000000cb00c453ca000c000000b312007834f8120020000000b
11200781871037898f51200b3cc0078090000008ccc0078c453ca00ffffffffb31200783
f000000c453ca00b0a0cb0000000000883ac40000000000b112007818710378e0f512003
7cc00780900000027cc0078c453ca00b0a0cb0000000000c453ca00b0a0cb0000001200c
81dc400191223600c0000009cf6120003ef007860e20278ffffffff00f61200ca38405fb
0a0cb00bb112360b0a0cb00c053ca00b0a0cb0030e1cb000000000000000000000000000
00000000000000000000000010101010101010101012360250000000c000000020000002
50000000c0000000d000080160000000c00000018000000250000000c000000020000001
80000000c00000000000000250000000c0000000d000080250000000c000000080000805
20000004c01000003000000e8ffffff00000000000000000000000090010000000000000
0000012540069006d006500730020004e0065007700200052006f006d0061006e0000000
0000000000000000000000000000000000000000000000000000000000000000000cb00c
453ca000c000000b312007834f8120020000000b11200781871037898f51200b3cc00780
90000008ccc0078c453ca00ffffffffb31200783f000000c453ca006084cb00000000008
83ac40000000000b112007818710378e0f5120037cc00780900000027cc0078c453ca006
084cb0000000000c453ca006084cb0000001200c81dc400191223600c0000009cf612000
3ef007860e20278ffffffff00f61200ca38405f6084cb00bb1123606084cb00c053ca006
084cb00d084cb00000000000000000000000000000000000000000000000000010101010
101010101012360250000000c00000003000000250000000c0000000d000080160000000
c00000018000000250000000c00000003000000180000000c00000000000000250000000
c0000000d000080520000004c01000004000000e8ffffff0000000000000000000000009
00100000000000000000012540069006d006500730020004e0065007700200052006f006
d0061006e000000000000000000000000000000000000000000000000000000000000000
00000000000cb00c453ca000c000000b3120078ffffdfff20000000b1120078187103789
8f51200b3cc0078090000008ccc0078c453ca00ffffffffb31200783f000000c453ca003
0eecb0000000000883ac40000000000b112007818710378e0f5120037cc0078090000002
7cc0078c453ca0030eecb0000000000c453ca0030eecb0000001200c81dc400191223600
c0000009cf6120003ef007860e20278ffffffff00f61200ca38405f30eecb00bb1123603
0eecb00c053ca0030eecb00908ecb0000000000000000000000000000000000000000000
0000000010101010101010101012360250000000c00000004000000250000000c0000000
d000080160000000c00000018000000250000000c00000004000000180000000c0000000
0000000250000000c0000000d000080250000000c00000008000080520000004c0100000
5000000e8ffffff000000000000000000000000900100000000000000000012540069006
d006500730020004e0065007700200052006f006d0061006e00000000000000000000000
000000000000000000000000000000000000000000000000000cb00c453ca000c000000b
312007834f8120020000000b11200781871037898f51200b3cc0078090000008ccc0078c
453ca00ffffffffb31200783f000000c453ca00708acb0000000000883ac40000000000b
112007818710378e0f5120037cc00780900000027cc0078c453ca00708acb0000000000c
453ca00708acb0000001200c81dc400191223600c0000009cf6120003ef007860e20278f
fffffff00f61200ca38405f708acb00bb112360708acb00c053ca00708acb00c0e2ca000
000000000000000000000000000000000000000000000000101010101010101010123602
50000000c00000005000000250000000c0000000d000080160000000c000000180000002
50000000c00000005000000180000000c00000000000000250000000c0000000d0000802
50000000c00000008000080250000000c00000008000080520000004c01000006000000e
4ffffff00000000000000000000000090010000000000cc00000012540069006d0065007
30020004e0065007700200052006f006d0061006e0000000000000000000000000000000
0000000000000000000000000000000000000000000cb00c453ca000c000000b31200783
4f8120020000000b11200781871037898f51200b3cc0078090000008ccc0078c453ca00f
fffffffb312007840bbca00c453ca00d084cb0000000000883ac40001000000b11200781
8710378e0f5120037cc00780900000027cc0078c453ca00d084cb0000000000c453ca00d
084cb0000001200c81dc400191223600c0000009cf6120003ef007860e20278ffffffff0
0f61200ca38405fd084cb00bb112360d084cb00c053ca00d084cb0040bbca00000000000
000000000000000000000000000000000000000010101010101010101012360250000000
c00000006000000250000000c0000000d000080160000000c00000018000000250000000
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400000011000000440000001c0000006200000001000000d75aa9412d2d8d41110000005
d000000010000004c000000000000000000000000000000ffffffffffffffff500000004
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c01000007000000e4ffffff0000000000000000000000009001000000000000000000125
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00000000000000000000000000000000000000000000000000000000000cb00c453ca000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000000000000000000000000000000000000000000000000000000000000000000000000
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3cc0078090000008ccc0078c453ca00ffffffffb31200789038cb00c453ca00d063cb000
00000008438c40001000000b112007818710378e0f5120037cc00780900000027cc0078c
453ca00d063cb0000000000c453ca00d063cb0000001200c81dc400191223600c0000009
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053ca00d063cb009038cb000000000000000000000000000000000000000000000000000
10101010101010101012360250000000c00000008000000250000000c0000000d0000801
60000000c00000018000000250000000c00000008000000180000000c000000000000001
20000000c00000001000000540000005400000022000000450000002f000000670000000
1000000d75aa9412d2d8d412200000061000000010000004c00000000000000000000000
0000000ffffffffffffffff50000000440000000e000000120000000c000000020000002
50000000c0000000d000080520000004c01000009000000e8ffffff00000000000000000
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0000000000000000000cb00c453ca000c000000b312007834f8120020000000b11200781
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453ca00205ccb00000000008438c40000000000b112007818710378e0f5120037cc00780
900000027cc0078c453ca00205ccb0000000000c453ca00205ccb0000001200c81dc4001
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000000000000000010101010101010101012360250000000c00000009000000250000000
c0000000d000080160000000c00000018000000250000000c00000009000000180000000
c00000000000000120000000c0000000100000054000000540000002e0000004f0000003
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00000000000000000000000ffffffffffffffff500000003a0400000a000000120000000
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00000000000000000000000000000000000cb00c453ca000c000000b312007834f812002
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31200789038cb00c453ca00005ccb00000000008438c40001000000b112007818710378e
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0000000000000000000000000000000010101010101010101012360250000000c0000000
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000000000000000000000000000000000000000000000000000cb00c453ca000c000000b
312007834f8120020000000b11200781871037898f51200b3cc0078090000008ccc0078c
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112007818710378e0f5120037cc00780900000027cc0078c453ca00600ecb0000000000c
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000000000000000000000000000000000000000000000000101010101010101010123602
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80000000c00000002000000280000000c00000003000000520000004c01000003000000e
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0000000000000000000000000000000000000000000cb00c453ca000c000000b31200783
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fffffffb31200789038cb00c453ca004088cb0000000000883ac40001000000b11200781
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0f61200ca38405f4088cb00bb1123604088cb00c053ca00acf61200da152360000000000
000000000000000000000000000000000000000010101010101010101012360250000000
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fffffffffffffff500000003a0400000a000000120000000c00000002000000250000000
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000000000000000250000000c00000002000000120000000c00000001000000120000000
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c000000040000005600000030000000820000009400000082000000d5000000050000008
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c00000002000000250000000c00000005000080280000000c00000004000000190000000
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50000000c00000004000000120000000c000000010000005700000024000000f2000000d
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50000000c00000008000080560000004800000093010000d30000009b010000da0000000
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0000000100100009300000010010000d60000000500000010019300100193001001d6001
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d6573204e657720526f6d616e0000000000000000000000000000000000040000002d010
800040000002d010400040000002e011800040000002d010800050000000902000000000
40000000201010009000000320a5f00f80101000000ea800a00040000000201010004000
0002d0104001c000000fb02e4ff0000000000009001000000000000001254696d6573204
e657720526f6d616e0000000000000000000000000000000000040000002d010d0004000
0002d010400040000002e011800040000002d010d0005000000090200000000040000000
201010009000000320a5800030201000000298008000400000002010100040000002d010
400030000000000
Рис. 2. Графіки щільності розподілу похибки квантування р(к)
Числові характеристики похибки квантування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 для цих варіантів зведені в табл.7.1.
Таблиця 1.
Варіант
квантування
(округлення) Характеристики похибки квантування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Максимальне
значенняМатематичне
сподіванняСереднє квадратичне
відхиленняДо верхнього
рівня
квантуванняpicscalex100010009000003ad00000002001500000000000500000009020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До нижнього
рівня
квантуванняpicscalex100010009000003b500000002001500000000000500000009020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До
найближчого
рівня
квантуванняpicscalex100010009000003f100000003001500000000000500000009020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З приведених у табл. 1 оцінок похибки квантування виходить, що відносно
точності має перевагу округлення результату вимірювання до найближчого
рівня, оскільки в цьому випадку максимальне значення похибки квантування
зменшується в два рази і її математичне сподівання дорівнює нулю, тобто
немає систематичної складової похибки квантування. Водночас два інших
варіанти округлення обумовлюють більш просту апаратурну реалізацію ЦВП і
тому знаходять переважне застосування.
Похибка квантування може бути зменшена вибором досить малого інтервалу
квантування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, проте його
мінімальне значення обмежується рівнем шумів АЦП, приведених до входу
АЦП.
Операції дискретизації та квантування сигналів в АЦП виконуються
практично одночасно, або паралельно, але в окремих випадках спочатку
одержують дискретизовані миттєві значення сигналу x(t) в моменти
дискретизації tq. Ці миттєві значення спочатку запам’ятовуються за
допомогою аналогових запам’ятовуючих пристроїв, що мають назву пристроїв
вибірки та збереження, а потім підлягають квантуванню. Інтервал
дискретизації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 і частота
дискретизації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 обмежуються швидкодією АЦП при
заданій тривалості безперервного сигналу x(t), що піддається
дискретизації.
Під цифровим кодуванням розуміють умовне подання числового значення
величини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 певним
цифровим кодом послідовністю цифр (сигналів) відповідно до прийнятої
системи числення.
У цифровій вимірювальній техніці найбільш розповсюджені десятковий,
двійковий і двійково-десятковий коди, іноді використовується одиничний,
або унітарний, код. Двійковий код, поряд зі значними перевагами, має
суттєві для ЦВП недоліки. Він незручний для цифрового відліку, а для
переходу від двійкового коду до десяткового необхідні складні
дешифратори, або перетворювачі кодів. Усунути цей недолік і значною
мірою зберегти перевагу двійкового коду дозволяють двійково-десяткові
коди, які є комбінацією двійкового і десяткового кодів. При
двійково-десятковому кодуванні зберігається розташування десяткових
розрядів, але кожен з них (цифри від 0 до 9) подається двійковим кодом
комбінацією з чотирьох двійкових символів (“1” і “0”), названою
тетрадою. Кількість різних комбінацій, які можуть бути утворені з
чотирьох символів, дорівнює 16. Водночас для зображення розрядних
коефіцієнтів (цифр) десяткової системи потрібно лише десять комбінацій,
а останні шість можливих комбінацій зайві. Оскільки для кодування можуть
бути використані будь-які 10 із 16 комбінацій, то це призводить до
багатозначності розв’язання задачі двійково-десяткового кодування.
В цифровій вимірювальній техніці найчастіше використовуються
самодоповнюючі, або інверсні, двійково-десяткові коди. До них належать
коди, у яких сума “ваг” розрядних коефіцієнтів однієї тетради дорівнює
9, наприклад, коди 2421, 4221, 5211 та ін. Така назва кодів викликана їх
характерною особливістю, яка полягає в тому, що при заміні двійкового
коду будь-якої десяткової цифри інверсним двійковим кодом одержимо код
доповнення даної цифри до 9. Наприклад, якщо в коді 2421 записати цифру
6, тобто 0110 (або 1100), а потім перейти до інверсного коду 1001 (або
0011), то одержимо цифру 3, яка дійсно є доповненням числа 6 до 9.
Ефективність самодоповнюючих кодів зв’язана з тим, що окремі з них
володіють найменшою кількістю неоднозначних комбінацій. Справа в тому,
що деякі числа в одному і тому самому коді можуть виражатися не однією,
а кількома різними комбінаціями його розрядних символів. Наприклад, у
коді 2421 двома комбінаціями можуть бути виражені цифри 2, 3, 4, 5, 6,
7, у коді 4221 цифри 2,3,4,5,6,7, у коді 5211 цифри 1,2,3,6,7,8.
Очевидно, чим більше двійково-десятковий код має неоднозначних
комбінацій для відображення одного і того самого числа, тим нижче його
захищеність від завад.
На різних етапах обробки інформації в ЦВП є доцільним використання
різних кодів з урахуванням можливості тієї чи іншої вимоги. Наприклад,
двійковий код близький до оптимального як за кількістю елементів, що
використовуються для подання двійкових чисел, так і за часом виконання
різних логіко-обчислювальних операцій. Тому він має переважне
застосування в цифрових процесорах. Двійково-десяткові коди
використовуються, як правило, в блоках індикації для керування цифровими
відліковими пристроями, а іноді і в цифроаналогових перетворювачах, які
беруть участь в одержанні результату вимірювання, наприклад у цифрових
мостах.
Основні структурні компоненти і технічні характеристики цифрових
вимірювальних приладів
Обов’язковими функціональними компонентами ЦВП є АЦП і цифровий
відліковий пристрій. До складу ЦВП завжди входять також вхідні лінійні
або масштабні перетворювачі (подільники напруги, підсилювачі), які
забезпечують до того ж високий опір приладу. Вхідні пристрої залежно від
призначення та принципу побудови ЦВП можуть мати формувачі імпульсів і
функціональні перетворювачі, наприклад, перетворювачі різних
характеристик змінних напруг, фазового зсуву, потужності в постійну
напругу, постійної напруги в частоту і т. ін. Складовими ЦВП можуть бути
арифметично-логічні пристрої, призначені для виконання різних
обчислювальних операцій (арифметичних, розв’язання систем рівнянь) і
логічних операцій. Синхронізацію роботи всіх ланок ЦВП забезпечує блок,
або пристрій, керування (або мікропроцесорний контролер) тієї чи іншої
складності залежно від розгалуженості функціональних зв’язків між
блоками та прийнятої процедури вимірювань ЦВП, а також генератори
тактових або зразкових імпульсів. Сучасні ЦВП, як правило, споряджені
інтерфейсним блоком (або пристроєм) для зв’язку з зовнішніми засобами
вимірювальної техніки, засобами обчислювальної техніки тощо. Для
цифрових вимірювальних приладів використовують усі основні технічні
характеристики вимірювальних приладів, проте окремі з них потребують
пояснення з урахуванням специфіки ЦВП.
Ціна поділки шкали (дискретність) ЦВП, яку називають також номінальною
ціною одиниці найменшого розряду коду, визначається межами вимірювань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 і
кількістю десяткових розрядів L у його відліковому пристрої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.
Ціна поділки вибирається з умови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,
деwmetafile8010009000003710100000200170000000000050000000902000000000400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 Найчастіше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 і в молодшому десятковому розряді цифрового відліку
результату вимірювання можуть відтворюватися усі цифри десяткової
системи від 0 до 9, в той час як при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 парні цифри та нуль, при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 тільки дві цифри: 0 і 5. Так, для цифрового вольтметра
з межею вимірювання 1 В і чотирма десятковими розрядами відліку ціна
поділки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.
Ціна поділки ЦВП визначає його роздільну здатність або чутливість на
кожній межі вимірювань, але інколи роздільну здатність ЦВП з кількома
межами вимірювань задають у вигляді ціни поділки найменшої межі.
Розряди цифрового відліку ЦВП можуть бути повними або неповними. У
повних розрядах використовуються усі десяткові цифри від 0 до 9; в цьому
разі максимальне число цифрового відліку (без урахування ціни поділки)
складається з дев’яток, наприклад, при чотирьох десяткових розрядах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. Проте в окремих ЦВП, зокрема в
цифрових фазометрах, один або два старших розряди виконуються неповними.
Так, в цифрових фазометрах старший розряд може мати або два положення (0
і 1) при відліку в межах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, або чотири положення (0; 1; 2; 3) при
відліку в межах від 0 до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.
У зв’язку з наявністю в багатьох ЦВП адитивної і мультиплікативної
складових похибки, її нормування здійснюється за двочленною або більш
складними формулами. Крім того, для будь-якої форми нормування похибок
ЦВП завжди вказується похибка квантування.
Для більшості ЦВП характерне нормування того чи іншого показника
завадозахищеності, насамперед усього коефіцієнта заглушення завад, в
силу значно більшої чутливості ЦВП до завад у порівнянні з аналоговими
вимірювальними приладами.
Класифікація цифрових вимірювальних приладів
У науково-технічній та навчальній літературі зустрічаються різні підходи
до класифікації ЦВП (і АЦП). Наведемо лише деякі ознаки класифікації,
які найбільш повно відображають принципи побудови ЦВП. До них належать:
метод вимірювання або вид структурної схеми ЦВП, метод аналого-цифрового
перетворення, алгоритм перетворення, режим роботи, елементна база.
Метод вимірювання (або вид структурної схеми) є загальною
класифікаційною ознакою ЗВТ, за якою ЦВП поділяють на три групи: прямого
перетворення, зрівноважування (або порівняння) і комбіновані. ЦВП
прямого перетворення побудовані за розімкнутою структурною схемою, яка
не має негативного зворотного зв’язку з виходу на вхід приладу.
Одночасно окремі ланки схеми ЦВП можуть бути охоплені зворотним
зв’язком. До цієї групи належить більшість ЦВП.
У ЦВП зрівноважування в процесі вимірювання здійснюється порівняння
вимірюваної і однорідної з нею зразкової (компенсаційної) величин. При
цьому зразкова величина автоматично змінюється за певним законом від
нуля до значення, приблизно рівного значенню вимірюваної величини.
Рівність вимірюваної і зразкової величин фіксується компаратором
(порівнювальним пристроєм). ЦВП цієї групи побудовані за замкнутою
структурною схемою і мають негативний зворотний зв’язок з її виходу на
вхід, у коло якого вмикається зворотний перетворювач, наприклад
цифроаналоговий.
У свою чергу, ЦВП порівняння поділяють за кількістю параметрів, щодо
яких здійснюється процес зрівноважування, на два види: ЦВП із
зрівноважуванням за одним і двома параметрами. Переважна більшість ЦВП
належать до першого виду. Як приклад ЦВП із зрівноважуванням за двома
параметрами можна навести прилади для вимірювання амплітуди і фази
гармонік змінних напруг (і струмів), комплексних опорів або їх складових
та інших аналогічних величин (векторних чи комплексних). Особливість ЦВП
із зрівноважуванням за двома параметрами полягає в тому, що в цих
приладах виконуються два процеси зрівноважування, які здійснюються або
незалежно один від одного, або взаємозв’язано, а це приводить до
особливостей побудови вимірювальних схем. Крім того, швидкодія цих
приладів у порівнянні з приладами першої групи значно нижча, вона
визначається збіжністю процесу зрівноважування.
У комбінованих ЦВП використовуються обидва методи: методи прямого
перетворювання в першому циклі (грубе вимірювання) і методи
зрівноважування в другому циклі (точне вимірювання). Такі ЦВП називають
приладами прямого зрівноважування.
За методом аналого-цифрового перетворення всі ЦВП, як і АЦП, поділяють
на чотири групи: ЦВП час-імпульсного перетворення (час-імпульсні ЦВП),
ЦВП частотно-імпульсного перетворення (частотно-імпульсні ЦВП), ЦВП
кодоімпульсного перетворення (кодоімпульсні ЦВП) та ЦВП просторового
перетворення, або кодування.
Метод час-імпульсного перетворення передбачає виконання двох операцій:
лінійного перетворення вимірюваної величини в інтервал часу і
перетворення інтервалу часу в число імпульсів, пропорційне значенню
вимірюваної величини. Це число імпульсів і служить результатом
вимірювання. Час-імпульсні ЦВП є найбільш розповсюдженими приладами і
використовуються для вимірювань різних фізичних величин: напруги,
частоти, фазових зсувів, параметрів R, L, C тощо. Перевага цих приладів
полягає в порівняльній простоті апаратурної реалізації при досить
припустимих для практики основних технічних характеристиках.
Метод частотно-імпульсного перетворення передбачає перетворення
вимірюваної величини в пропорційну частоту імпульсів, яку вимірюють
цифровим методом. Частотно-імпульсні прилади найбільш прості, але їх
розвиток стримується відсутністю високоточних і простих частотних
перетворювачів різних фізичних величин. Поки що вони знаходять переважне
застосування в цифрових вольтметрах постійного струму або в приладах з
проміжним перетворенням вимірюваної величини, наприклад температури, в
постійну або повільно змінювану напругу.
Метод кодоімпульсного перетворення полягає в тому, що вимірювана
величина X зрівноважується зразковою величиною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, яка приймає задану кількість дискретних рівнів. Тому кодоімпульсні
ЦВП часто називають приладами зрівноважування або компенсаційного
перетворення. Процес зрівноважування протягом часу може відбуватися
послідовно, паралельно і послідовно-паралельно. При послідовному
зрівноважуванні дискретні рівні зразкової величини формуються послідовно
такт за тактом, і в кожному такті проводиться порівняння зразкової
величини з вимірюваною доти, доки вони не зрівняються. Похибка
вимірювання такого методу не перебільшує найменшого прирощування
зразкової величини або його половини. Таке зрівноважування називають
також розгортальним, причому розгортка (закон змінювання) зразкової
величини може бути рівномірно-східчастою і нерівномірно-східчастою. При
рівномірно-східчастому розгортанні зразкова величина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 кожного такту одержує однаковий приріст, що дорівнює кроку
квантування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 (рис. 3, а).
При нерівномірно-східчастому розгортанні зразкова величина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 в кожному такті або на різних ділянках змінюється неоднаковими
східцями. “Вагу” цих східців вибирають згідно з тією чи іншою системою
числення, звичайно двійковою або двійково-десятковою. На рис. 3, б
показано розгортку зразкової величини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 за двійковим законом. Нерівномірно-східчасте зрівноважування
називають порозрядним, а ЦВП з таким зрівноважуванням приладом
порозрядного кодування.
Рис. 3. Часові діаграми методу кодоімпульсного перетворення:
з рівномірним (а) та нерівномірним (б) зрівноважуванням
При паралельному зрівноважуванні відбувається одночасне (паралельне)
формування усіх рівнів зразкової величини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, які водночас порівнюються з вимірюваною величиною X (рис. 4, а).
Сформовані рівні величини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 утворюють рівномірну шкалу, яка має певну кількість одиничних мір
(сходинок квантування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). Кількість мір
вибирають з умови перекриття максимального значення вимірюваної величини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.
Паралельне зрівноважування потребує максимальної кількості мір і
компараторів для одночасного порівняння вимірюваної величини X з усіма
рівнями зразкової величини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. Тому такий метод зрівноважування використовується тільки в тих
випадках, коли вимірювана величина є короткочасною, наприклад, при
вимірюваннях максимальних значень одиничних імпульсів або при
безпосередньому вимірюванні миттєвих значень xq змінної величини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(рис. 1, а). Він забезпечує максимальну швидкодію АЦП.
picscalex101010009000003243300000e001610000000001610000026060f002220574d
46430100000000000100822e000000000300000000200000902a0000904a000001000000
780000004c0000001d0000003c060000f4020000000000000000000098350000ab170000
20454d4600000100904a0000de0100000c0000000f000000580000000000000060090000
870c0000cb0000000f01000056004900530049004f000000440072006100770069006e00
670000000000ffff0a000000100000000000000000000000090000001000000055060000
cc020000160000000c00000018000000120000000c00000001000000250000000c000000
05000080520000004c01000001000000c6ffffff00000000000000000000000090010000
0000000000000012540069006d006500730020004e0065007700200052006f006d006100
6e00000000000000000000000000000000000000ffffffffffffffffffffffffffff0000
0000ffffffffffffffffffffffffc0c0c0000000000000000000000000000000ffffffff
ffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffffffffff00
0000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffff000000000000ffffff000000000000000000000000000000ff
ffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffffffffffff
ffff000000000000ffffff00000000000000000000000000000000000000000000000000
01010101010101010101ffff250000000c0000000100000054000000580000004c000000
5b000000780000009d0000000100000055550741555507414c0000005b00000002000000
4c000000000000000000000000000000000000000000000050000000610029001a000000
13000000120000000c00000002000000120000000c00000001000000520000004c010000
02000000c6ffffff0000000000000000000000009001000000000000008d001254006900
6d006500730020004e0065007700200052006f006d0061006e000000ffffffffffffffff
ffffffffffffffffffffffffffff000000000000000000000000000000ffffffffffffff
ffffffffffffffffffffffffffffc0c0c0ffffffffffff000000ffffffffffffffffffff
ffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffc0ff0000ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffff
c0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffffc0ffff
00000000000000000000000000000000000000000000000001010101010101010101ffff
250000000c0000000200000054000000540000009a02000094020000a9020000d6020000
0100000055550741555507419a02000094020000010000004c0000000000000000000000
000000000000000000000000500000007400ffff10000000120000000c00000002000000
120000000c00000001000000260000001c00000003000000000000000300000000000000
00000000250000000c0000000300000057000000240000007800000057020000b0020000
590200000200000079005802af025802250000000c00000008000080280000000c000000
03000000120000000c00000002000000250000000c00000008000080250000000c000000
04000080560000005c000000aa0200004f020000bc0200006102000010000000bc025802
aa026102ab026002ac025f02ac025d02ac025c02ac025a02ad025902ad025802ac025602
ac025502ac025302ac025202ab025102aa024f02bc025802120000000c00000001000000
260000001c0000000300000000000000050000000000000000000000250000000c000000
03000000250000000c000000050000805700000024000000da000000580000000c010000
5c00000002000000dc005a000a015a00250000000c00000008000080280000000c000000
03000000260000001c000000030000000000000005000000000000000000000025000000
0c00000003000000250000000c000000050000805700000024000000da00000090000000
0c0100009400000002000000dc0092000a019200250000000c0000000800008028000000
0c00000003000000260000001c0000000300000000000000050000000000000000000000
250000000c00000003000000250000000c000000050000805700000024000000da000000
cb0000000c010000cf00000002000000dc00cd000a01cd00250000000c00000008000080
280000000c00000003000000260000001c00000003000000000000000500000000000000
00000000250000000c00000003000000250000000c000000050000805700000024000000
da000000030100000c0100000701000002000000dc0005010a010501250000000c000000
08000080280000000c00000003000000260000001c000000030000000000000005000000
0000000000000000250000000c00000003000000250000000c0000000500008057000000
24000000da000000740100000c0100007801000002000000dc0076010a01760125000000
0c00000008000080280000000c00000003000000260000001c0000000300000000000000
050000000000000000000000250000000c00000003000000250000000c00000005000080
5700000024000000da000000e40100000c010000e801000002000000dc00e6010a01e601
250000000c00000008000080280000000c00000003000000260000001c00000003000000
00000000050000000000000000000000250000000c00000003000000250000000c000000
050000805700000024000000da0000001c0200000c0100002002000002000000dc001e02
0a011e02250000000c00000008000080280000000c00000003000000260000001c000000
0300000000000000010000000000000000000000250000000c0000000300000025000000
0c000000050000805700000024000000ee000000e601000051010000e601000002000000
ee00e6015101e601250000000c00000008000080280000000c0000000300000026000000
1c0000000300000000000000010000000000000000000000250000000c00000003000000
250000000c000000050000805700000024000000f7000000ae01000056010000ae010000
02000000f700ae015601ae01250000000c00000008000080280000000c00000003000000
260000001c0000000300000000000000010000000000000000000000250000000c000000
03000000250000000c000000050000805700000024000000450100008901000045010000
a301000002000000450189014501a301250000000c00000008000080280000000c000000
03000000120000000c00000002000000250000000c00000008000080250000000c000000
04000080560000005c0000003e010000a00100004c010000ae010000100000004501ae01
3e01a0013f01a0014001a1014101a1014201a1014301a1014401a2014501a2014601a101
4801a1014901a1014a01a1014b01a0014c01a0014501ae01120000000c00000001000000
260000001c0000000300000000000000010000000000000000000000250000000c000000
03000000250000000c00000005000080570000002400000045010000ee01000045010000
2702000002000000450127024501ee01250000000c00000008000080280000000c000000
03000000120000000c00000002000000250000000c00000008000080250000000c000000
04000080560000005c0000003e010000e40100004c010000f2010000100000004501e401
4c01f2014b01f1014a01f1014901f1014801f0014601f0014501f0014401f0014301f001
4201f0014101f1014001f1013f01f1013e01f2014501e401120000000c00000001000000
260000001c0000000300000000000000010000000000000000000000250000000c000000
03000000250000000c00000005000080570000002400000045010000a701000045010000
e3010000020000004501a7014501e301250000000c00000008000080280000000c000000
03000000250000000c00000005000080520000004c01000003000000c6ffffff00000000
00000000000000009001000000000000008d0012540069006d006500730020004e006500
7700200052006f006d0061006e0000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000010101010101010101010000250000000c00000003000000
5400000054000000cc01000019010000f50100005b010000010000005555074155550741
cc01000019010000010000004c0000000000000000000000000000000000000000000000
50000000580000002a000000260000001c00000004000000000000000100000000000000
00000000250000000c0000000400000057000000240000008201000011010000b5010000
4e01000002000000b501110182014e01250000000c00000008000080280000000c000000
04000000260000001c000000040000000000000001000000000000000000000025000000
0c00000004000000250000000c000000050000805700000024000000f100000041000000
2d0100004b000000020000002d014100f1004b00250000000c0000000800008028000000
0c00000004000000250000000c00000005000080520000004c01000004000000c6ffffff
0000000000000000000000009001000000000000008d0012540069006d00650073002000
4e0065007700200052006f006d0061006e000000ffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffff00000000ffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
0000ffffffffffffffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000
0000000000000000000000000000000001010101010101010101ffff250000000c000000
04000000540000005400000032010000410000004d010000830000000100000055550741
555507413201000041000000010000004c00000000000000000000000000000000000000
0000000050000000780000001c000000520000004c01000005000000d6ffffff00000000
00000000000000009001000000000000008d0012540069006d006500730020004e006500
7700200052006f006d0061006e0000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000010101010101010101010000250000000c00000005000000
5400000054000000540100004e000000680100007d000000010000005555074155550741
540100004e000000010000004c0000000000000000000000000000000000000000000000
500000003000000015000000520000004c01000006000000ceffffff0000000000000000
0000000090010000000000cc008d0012540069006d006500730020004e00650077002000
52006f006d0061006e002000430079007200000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000000000000000000000000000000000000000000000000000
0000000000000000010101010101010101010000250000000c0000000600000054000000
54000000ba010000e3010000d10100001b020000010000005555074155550741ba010000
e3010000010000004c000000000000000000000000000000000000000000000050000000
3a04000018000000520000004c01000007000000c6ffffff000000000000000000000000
90010000000000cc008d0012540069006d006500730020004e0065007700200052006f00
6d0061006e0020004300790072000000ffc0000000ffffffffffffffffffffffffffffff
ffff00000000ffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffff0000ffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffc0c0c0ffffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffff0000000000000000000000000000000000000000
0000000001010101010101010101ffff250000000c000000070000005400000054000000
8c010000d4010000b5010000160200000100000055550741555507418c010000d4010000
010000004c0000000000000000000000000000000000000000000000500000005800ffff
2a000000520000004c01000008000000c6ffffff00000000000000000000000090010000
0000000200000012530079006d0062006f006c000000ffffffffffffffffffffffffffff
ffffffffffffffffffffffffffffffffffffffffffffffffffffff000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000000000000000000000000000000000000000000000000000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000000000000000000000000000000000000000000000000000000000000000001010101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0400040000002d01030024000000240310004501e4014c01f2014b01f1014a01f1014901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Рис. 4. Часові діаграми методів паралельного (а) та
паралельно-послідовного (б) зрівноважування.
При паралельно-послідовному зрівноважуванні формується кілька шкал
зразкової величини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. Шкали відрізняються одна від одної “вагами” одиничних мір,
співвідношення між якими вибирається кратним 10. Вимірювана величина
(або різниця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) послідовно порівнюється з кожною шкалою зразкової
величини, починаючи з найбільшої, а в межах кожної шкали одночасно
(паралельно) з усіма її складовими рівнями. На рис. 4, б зображено дві
шкали зразкової величини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 – з одиничними мірами квантування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 та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 відповідно.
Цей варіант методу дещо простіший в реалізації, ніж паралельне
зрівноважування, і відзначається значно більшою швидкодією в порівнянні
з послідовним зрівноважуванням.
Кодоімпульсні ЦВП відрізняються найбільшою точністю, їх швидкодія (або
розрядність) збільшується із збільшенням похибки квантування.
Метод просторового перетворення передбачає проміжне перетворення
вимірюваної величини в лінійне або кутове переміщення, яке потім
кодується. Для цього використовують спеціальну кодуючу маску або диск і
пристрій зчитування. У вітчизняних серійних ЦВП цей метод практично не
застосовується, тому зупинятися на ньому не будемо. Вкажемо тільки, що
ЦВП просторового перетворення забезпечують найвищу швидкодію, як і
паралельні АЦП.
За алгоритмом перетворення вимірюваної величини в код ЦВП (і АЦП)
поділяють на три групи: послідовної лічби, порозрядного кодування і
зчитування.
Характерною ознакою методів і ЦВП послідовної лічби є те, що
зрівноважування вимірюваної величини X відбувається послідовним
накопиченням (підсумовуванням) одиничних мір зразкової величини x0(t),
які є сходинками квантування (Xк = const) (рис. 3, а). Результат
перетворення відповідає моменту рівності вимірюваної X та зразкової
x0(t) величин, він визначається кількістю одиничних мір Xк, які
відповідають цьому моменту, і відображається послідовним (протягом часу)
одиничним (унітарним) кодом. До методів послідовної лічби належать
час-імпульсний і частотно-імпульсний методи, а також кодоімпульсний
метод з рівномірно-східчастим зрівноважуванням і деякі варіанти методу
просторового перетворення.
Метод порозрядного кодування являє собою кодоімпульсний метод з
нерівномірно-східчастим змінюванням зразкової величини. На рис. 3, б
наведено приклад реалізації алгоритму двійкового зрівноважування
вимірюваної величини X. Воно починається зі старшого розряду зразкової
величини x0(t), розмір якого задається заздалегідь з урахуванням
верхньої межі змінювання вимірюваної величини. Кожний наступний розряд
зразкової величини x0(t) за “вагою” в два рази менший від попереднього
розряду, а напрям змінювання зразкової величини вибраний таким, щоб з
кожним тактом або рівнем вона наближалась до вимірюваної. До результату
вимірювання входять тільки ті розряди, при вмиканні (підсумовуванні)
яких зразкова величина не перебільшує вимірювану. На рис. 3, б вони
позначені “1”, а цифра “0” відповідає розрядам, які до результату
вимірювання не входять.
Методи зчитування ґрунтуються на одночасному порівнянні вимірюваної
величини з усіма рівнями зразкової величини, наприклад, метод з
паралельним зрівноважуванням і деякі різновиди методу просторового
перетворення.
За режимом роботи, залежно від установленого значення міри на початку і
в кінці циклу перетворення, відрізняють ЦВП циклічної, ациклічної і
слідкувальної дії.
У циклічному режимі ЦВП (або АЦП) змінювання зразкової величини x0(t)
завжди (незалежно від значення вимірюваної величини) відбувається в
одних і тих самих строго заданих межах (між нульовим і максимальним
значеннями або навпаки), при цьому до початку кожного нового циклу
вимірювання (або перетворення для АЦП) зразкова величина x0(t)
повертається до початкового положення. Усі команди, в тому числі
скидання (установка) показів ЦВП на нуль, пуск, відлік, час індикації та
видача коду поза прилад, жорстко задаються за заданою програмою блоком
керування. Частота циклів (або запусків) ЦВП (або АЦП) може
перестроюватися в певних межах. Основна особливість цих ЦВП полягає в
тому, що час циклу (або період запуску) не залежить від моменту
одержання результату вимірювання. Його вибирають, розраховуючи на
максимально можливий результат вимірювання, що призводить до часової
надмірності, а отже, до зниження швидкодії ЦВП (або АЦП).
В ациклічному режимі ЦВП (або АЦП) вимірювання (аналого-цифрове
перетворення) здійснюється в змінному часовому інтервалі, розміщеному
між нульовим і вимірюваним значенням величини X (або навпаки). Цей
інтервал завжди менший від часового інтервалу вимірювання
(аналого-цифрового перетворення) при циклічному режимі ЦВП (або АЦП), за
винятком лише одного випадку, коли вимірювана величина X має максимальне
значення. Отже, ациклічне перетворення здійснюється за менший час, ніж
циклічне перетворення, що забезпечує підвищення швидкодії ЦВП.
У слідкувальному режимі роботи ЦВП вимірювана величина, здебільшого
змінна x(t), безперервно зрівноважується зразковою величиною x0(t), а
результат вимірювання може видаватися в будь-який момент часу, що
багаторазово підвищує швидкодію приладу.
За типом використовуваної елементної бази ЦВП поділяють на три групи:
електромеханічні, електронні і мікропроцесорні. До електромеханічних
належать ЦВП, які у вимірювальному каналі мають електромеханічні
елементи. Їм властива мала швидкодія (до кількох десятків вимірювань за
секунду) і невисокі характеристики надійності. В теперішній час вони
зустрічаються дуже рідко. Елементною базою електронних ЦВП є електронні
і напівпровідникові прилади, аналогові і цифрові інтегральні мікросхеми
малої, середньої і великої інтеграції, що дозволяє досягати підвищення
швидкодії і надійності, розширення функціональних можливостей при
одночасному зниженні маси, габаритів і потужності живлення приладів.
Найкращі перспективи у ЦВП на мікропроцесорах, які з’явилися порівняно
недавно, але розвиваються досить швидкими темпами. Застосування
мікропроцесорів і мікроЕОМ привело до створення якісно нових
вимірювальних приладів, вершиною яких є так звані віртуальні
(“інтелектуальні” або “думаючі”) прилади, здатні проводити будь-яку за
складністю математичну і логічну обробку інформації, її аналіз і
спілкування з оператором.
На мікропроцесори ЦВП може покладатися виконання таких функцій:
– автоматизація вибору меж вимірювань і нормалізація рівня вхідних
сигналів;
– обчислення різних математичних функцій, розв’язання систем рівнянь;
– автоматизація керування процесом вимірювання, до якого як складові
входять введення інформації і видача результатів вимірювань або
керуючого сигналу (при використанні приладу у вимірювальних і керуючих
системах);
– лінеаризація функцій перетворення окремих вузлів приладу або
вимірювального каналу в цілому, корекція похибок, статистична обробка
результатів вимірювань;
– самокалібрування, самодіагностика, автоматизація та самоповірка.
Одне з найважливіших достоїнств мікропроцесорних ЦВП, яке слід
підкреслити особливо, полягає в корінному поліпшенні можливостей їх
універсалізації, або в розширенні функціональних можливостей. Це
обумовлено переходом від жорсткої логіки роботи до програмно-керованої,
що відкриває принципово новий шлях нарощування багатофункціональності
таких приладів, які грунтуються на зміні програм їх роботи, заздалегідь
записаних у постійному запам’ятовуючому пристрої. Цей шлях веде до
створення багатофункціональних приладів з гнучкими структурою і
алгоритмами роботи, що задаються програмно. Основою їх побудови є
схемотехнічне і системно-програмне забезпечення, а всі виконувані ними
функції, у тому числі й керуючі, задаються оператором або внутрішнім
контролером програмним способом.
Характерною особливістю сучасних ЦВП, у тому числі всіх
мікропроцесорних, є те, що вони виготовляються програмно-керованими і
належать до системних приладів, тобто вони призначаються не тільки для
автономного застосування, але й для застосування в складі
автоматизованих вимірювальних систем, у системах автоматичного
керування, контролю і діагностики. Системні прилади для організації
взаємодії між собою та іншими приладами або зовнішніми засобами
забезпечуються стандартними засобами сполучення, які одержали назву
“інтерфейс” (від англійського слова interface сполучати, погоджувати).
У системних приладах використовуються інтерфейси з
паралельно-послідовним передаванням інформації, представленої цифровим
кодом.
Сукупність правил обміну інформацією визначає структуру об’єднання
засобів вимірювальної техніки та автоматизації, установлює формат
повідомлень і одиниць обміну, набір сигналів обміну і взаємодії,
алгоритм обміну і спосіб кодування інформації. Апаратурну частину
інтерфейсу складають елект-ричні вузли як у складі ЗВТ, так і автономні,
а також механічні з’єднувачі, елементи погодження і магістраль зв’язку.
Програмне забезпечення інтерфейсу складає набір програм, які здійснюють
його функціонування. Співвідношення між програмною і апаратурною
частинами інтерфейсу залежить від способу їх реалізації і установлюється
стандартами або технічними умовами на інтерфейси конкретного виду.
Конструктивно інтерфейс складається з кабелю, з’єднувачів і друкованих
плат. Друковані плати, що забезпечують обмін інформацією, називають
інтерфейсними картами.
Магістраль зв’язку, яка призначається для вмикання системних ЦВП до
інших приладів і пристроїв, називають каналом загального користування
(КЗК), інколи використовують також терміни канал або лінія колективного
користування. Сучасний вітчизняний стандартний приладовий КЗК являє
собою двонаправлену магістраль, що включає 16 кіл, або ліній зв’язку, по
яких в кодованому вигляді передаються всі інформаційні дані, а також
інтерфейсні і приладові повідомлення між системними елементами.
Допускається паралельне приєднання до 15 приладів, які розташовані один
від одного на відстані 20 м. Лінії КЗК за своїм функціональним
призначенням об’єднані в три шини: шину даних (8 ліній), шину
синхронізації або узгодження передачі (3 лінії) і шину керування (5
ліній).
Побудова ЦВП на мікропроцесорах приводить здебільшого до покращання їх
технічних характеристик і економічних показників.
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