6
LTC1257
LSB: The least significant bit or the ideal voltage difference
between two successive codes.
LSB = (V
FS
– V
OS
)/2
n
– 1
n = The number of digital input bits
V
OS
= The zero code error or offset of the DAC
V
FS
= The full-scale output voltage of the DAC
measured when all bits are set to 1
Resolution: The resolution is the number of DAC output
states (2
n
) that divide the full-scale range. The resolution
does not imply linearity.
INL: End-point integral nonlinearity is the maximum de-
viation from a straight line passing through the end-points
of the DAC transfer curve. Because the part operates from
a single supply and the output cannot go below ground,
the linearity is measured between full-scale and the first
code that guarantees a positive output. The INL error at a
given input code is calculated as follows:
INL = (V
OUT
– V
IDEAL
)/LSB
V
IDEAL
= (Code)(LSB) + V
OS
V
OUT
= The output voltage of the DAC measured at
the given input code
DNL: Differential nonlinearity is the difference between
the measured change and the ideal 1LSB change between
any two adjacent codes. The DNL error between any two
codes is calculated as follows:
DNL = (∆V
OUT
– LSB)/LSB
∆V
OUT
= The measured voltage difference between
two adjacent codes
Offset Error: The theoretical voltage at the output when
the DAC is loaded with all zeros. The output amplifier can
have a true negative offset, but because the part is oper-
ated from a single supply, the output cannot go below
ground. If the offset is negative, the output will remain near
0V resulting in the transfer curve shown in Figure 1.
Figure 1. Effect of Negative Offset
The offset of the part is measured at the first code that
produces an output voltage 0.5LSB greater than the pre-
vious code:
V
OS
= V
OUT
– [(Code)(V
FS
)/(2
n
– 1)]
Full-Scale Error: Full-scale error is the difference be-
tween the ideal and measured DAC output voltages with all
bits set to one (Code = 4095). The full-scale error includes
the offset error and is calculated as follows:
FSE = (V
OUT
– V
IDEAL
)/LSB
V
IDEAL
=(V
REF
)(1 – 2
–n
) – V
OS
V
REF
= The reference voltage, either internal or
external
Gain Error: Gain error is the difference between the ideal
and measured slope of the DAC transfer characteristic.
Gain error is equal to full-scale error minus offset error.
Digital Feedthrough: The glitch that appears at the analog
output caused by AC coupling from the digital inputs when
they change state. The area of the glitch is specified in
(nV)(sec).
OUTPUT
VOLTAGE
NEGATIVE
OFFSET
{
DAC CODE 0V
1257 F01
DEFI ITIO S
UU