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Applications information, Definitions – Rainbow Electronics MAX5123 User Manual

Page 15

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MAX5122/MAX5123

+5V/+3V, 12-Bit, Serial, Force/Sense DACs

with 10ppm/°C Internal Reference

______________________________________________________________________________________

15

__________Applications Information

Definitions

Integral Nonlinearity (INL)

Integral nonlinearity (Figure 8a) is the deviation of the
values on an actual transfer function from a straight
line. This straight line can be either a best-straight-line
fit (closest approximation to the actual transfer curve)
or a line drawn between the endpoints of the transfer
function, once offset and gain errors have been nulli-
fied. For a DAC, the deviations are measured at every
single step.

Differential Nonlinearity (DNL)

Differential nonlinearity (Figure 8b) is the difference
between an actual step height and the ideal value of

1LSB. If the magnitude of the DNL is less than or equal
to 1LSB, the DAC guarantees no missing codes and is
monotonic.

Offset Error

The offset error (Figure 8c) is the difference between
the ideal and the actual offset point. For a DAC, the off-
set point is the step value when the digital input is zero.
This error affects all codes by the same amount and
can usually be compensated for by trimming.

Gain Error

Gain error (Figure 8d) is the difference between the
ideal and the actual full-scale output voltage on the
transfer curve, after nullifying the offset error. This error
alters the slope of the transfer function and corre-
sponds to the same percentage error in each step.

0

2

1

4

3

7

6

5

000

010

001

011

100

101

110

AT STEP
O11 (1/2 LSB )

AT STEP
001 (1/4 LSB )

111

DIGITAL INPUT CODE

ANALOG OUTPUT VALUE (LSB)

Figure 8a. Integral Nonlinearity

Figure 8b. Differential Nonlinearity

0

2

1

4

3

6

5

000

010

001

011

100

101

DIFFERENTIAL LINEARITY
ERROR (-1/4 LSB)

DIFFERENTIAL
LINEARITY ERROR (+1/4 LSB)

1 LSB

1 LSB

DIGITAL INPUT CODE

ANALOG OUTPUT VALUE (LSB)

0

2

1

3

000

010

001

011

ACTUAL

DIAGRAM

IDEAL DIAGRAM

ACTUAL

OFFSET POINT

OFFSET ERROR
(+1 1/4 LSB)

IDEAL OFFSET
POINT

DIGITAL INPUT CODE

ANALOG OUTPUT VALUE (LSB)

Figure 8c. Offset Error

Figure 8d. Gain Error

0

5

4

6

7

000

101

100

110

111

IDEAL DIAGRAM

GAIN ERROR

(-1 1/4 LSB)

IDEAL FULL-SCALE OUTPUT

ACTUAL

FULL-SCALE

OUTPUT

DIGITAL INPUT CODE

ANALOG OUTPUT VALUE (LSB)