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Functional description – Rainbow Electronics АDC0805 User Manual

Page 13

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Functional Description

1 0 UNDERSTANDING A D ERROR SPECS

A perfect A D transfer characteristic (staircase waveform) is
shown in

Figure 1a

The horizontal scale is analog input

voltage and the particular points labeled are in steps of 1
LSB (19 53 mV with 2 5V tied to the V

REF

2 pin) The digital

output codes that correspond to these inputs are shown as
Db1 D and Da1 For the perfect A D not only will center-
value (Ab1 A Aa1

) analog inputs produce the cor-

rect output ditigal codes but also each riser (the transitions
between adjacent output codes) will be located

g

LSB

away from each center-value As shown the risers are ideal
and have no width Correct digital output codes will be pro-
vided for a range of analog input voltages that extend

g

LSB from the ideal center-values Each tread (the range of
analog input voltage that provides the same digital output
code) is therefore 1 LSB wide

Figure 1b

shows a worst case error plot for the ADC0801

All center-valued inputs are guaranteed to produce the cor-
rect output codes and the adjacent risers are guaranteed to
be no closer to the center-value points than

g

LSB In

other words if we apply an analog input equal to the center-
value

g

LSB

we guarantee

that the A D will produce the

correct digital code The maximum range of the position of
the code transition is indicated by the horizontal arrow and it
is guaranteed to be no more than

LSB

The error curve of

Figure 1c

shows a worst case error plot

for the ADC0802 Here we guarantee that if we apply an
analog input equal to the LSB analog voltage center-value
the A D will produce the correct digital code

Next to each transfer function is shown the corresponding
error plot Many people may be more familiar with error plots
than transfer functions The analog input voltage to the A D
is provided by either a linear ramp or by the discrete output
steps of a high resolution DAC Notice that the error is con-
tinuously displayed and includes the quantization uncertain-
ty of the A D For example the error at point 1 of

Figure 1a

is a

LSB because the digital code appeared

LSB in

advance of the center-value of the tread The error plots
always have a constant negative slope and the abrupt up-
side steps are always 1 LSB in magnitude

Transfer Function

Error Plot

a) Accuracye

g

0 LSB A Perfect A D

Transfer Function

Error Plot

b) Accuracye

g

LSB

Transfer Function

Error Plot

c) Accuracye

g

LSB

TL H 5671 – 12

FIGURE 1 Clarifying the Error Specs of an A D Converter

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