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MCP47DA1
DS25118D-page 70
 2012-2013 Microchip Technology Inc.
B.11
Integral Nonlinearity (INL)
The integral nonlinearity (INL) error is the maximum
deviation of an actual transfer function from an ideal
transfer function (straight line).
In the MCP47DA1, INL is calculated using two end
points (zero and full scale). INL can be expressed as a
percentage of Full-Scale Range (FSR) or in a fraction
of an LSb. INL is also called relative accuracy.
Equation B-4 shows how to calculate the INL error in
LSb and Figure B-4 shows an example of INL accu-
racy.
INL error for these devices is the maximum deviation
between an actual code transition point and its
corresponding ideal transition point after offset and
gain errors have been removed. These endpoints are
from 0x00-0x20 to 0x60-0x7F for the MCP47DA1.
Refer to Figure B-4.
Positive INL means higher VOUT voltage than ideal.
Negative INL means lower VOUT voltage than ideal.
See Figure 2-1 through Figure 2-11 and Figure 2-67
through Figure 2-70 for INL characterization graphs.
EQUATION B-4:
INL ERROR
FIGURE B-4:
INL ACCURACY.
B.12
Differential Nonlinearity (DNL)
The differential nonlinearity (DNL) error (see Figure B-
5) is the measure of step size between codes in actual
transfer function. The ideal step size between codes is
1 LSb. A DNL error of zero would imply that every code
is exactly 1 LSb wide. If the DNL error is less than
1 LSb, the DAC guarantees monotonic output and no
missing codes. The DNL error between any two
adjacent codes is calculated as follows:
DNL error is the measure of variations in code widths
from the ideal code width. A DNL error of zero would
imply that every code is exactly 1 LSb wide.
See Figure 2-12 through Figure 2-22 and Figure 2-71
through Figure 2-74 for DNL characterization graphs.
EQUATION B-5:
DNL ERROR
FIGURE B-5:
DNL ACCURACY.
INL
VOUT VIdeal
–

LSb
---------------------------------------
=
Where:
INL is expressed in LSb.
VIdeal
=
Code*LSb
VOUT
=
The output voltage measured with
a given DAC input code
111
110
101
100
011
010
001
000
Wiper
Code
Actual
transfer
function
INL < 0
Ideal transfer
function
INL < 0
VOUT Output Voltage
DNL
V
OUT
LSb
–
LSb
----------------------------------
=
Where:
DNL is expressed in LSb.
VOUT
=
The measured DAC output
voltage difference between two
adjacent input codes.
111
110
101
100
011
010
001
000
Wiper
Code
Actual
transfer
function
Ideal transfer
function
Narrow code < 1 LSb
Wide code, > 1 LSb
VOUT Output Voltage



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