Agilent Technologies 93000 SOC Series Training Manual page 297

Mixed-signal training
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The first code transition (from zero to one) of an ideal ADC occurs
at the analog equivalent of 0.5 LSB.
The last code transition (from 2
of bits) of an ideal ADC occurs at the analog equivalent of FS –
n
1.5 LSB. There are 2
Example: An 8-bit ADC tested in binary format covers a numerical
range from 0 to 255 (= 2
complement format would cover a numerical range from –128 to
+127. One LSB of this ADC is normally calculated as FS / 256.
The response of an ADC to an input voltage above FS – 0.5 LSB is
usually not defined.
Therefore, many ADCs have an additional voltage reference or
comparator and an additional output pin to signal overvoltage.
Some manufacturers consider that the first (zero) step and the last
step are only one half of a full width and therefore calculate:
n
1 LSB = FS / (2
– 1) for an n-bit converter.
Real ADCs show minor or major deviations from the ideal.
Ideal ADC
Binary Output Code
111
110
101
100
011
010
001
000
1/8
1/4
3/8
1/2
5/8 3/4 7/8
Analog Input
Ideal vs. Real ADC
A gain error, for example, would move the outer points further
out, an offset error would offset the whole curve.
Lesson 1 – The Training ADC
n
n
– 2 to 2
– 1 code transitions.
n
– 1). The same ADC operated in 2's
Real ADC
Binary Output Code
111
110
101
100
011
010
001
000
1/8
FS
– 1, where n = number
1/4
3/8
1/2
5/8 3/4 7/8
FS
Analog Input
297

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