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 2012-2013 Microchip Technology Inc.
DS25118D-page 49
MCP47DA1
7.4
Output Errors
The output error is caused by two factors. These are:
• Characteristics of the Resistor Network
• Characteristics of the Output Buffer
Figure 7-5 shows the components of the error on the
output voltage. The first part of the error is from the
resistor ladder and the RFS and RZS resistances. The
second part is due to the output buffer’s input offset
characteristics.
The RFS and RZS resistances effect the voltage
between VZS and VFS. The larger that RFS + RZS is, the
smaller that the step voltage (VS) will be (from the
theoretical step voltage). The increase in the RFS and
RZS resistances also effects the Full-Scale Error (FSE),
Zero-Scale Error (ZSE), and gain error.
Table 7-4 compares theoretical resistor network volt-
ages for full scale and zero scale, where RFS = RZS =
0
, to an example where RFS and RZS and non-zero.
The voltage calculations show cases of VREF = 5.0V
and VREF = 1.5V. Figure 2-89 shows RVREF, RFS, and
RZS resistances VDD.
So, as the voltage reference (VREF) decreases, the
Step voltages (VS) decrease. At a low VREF voltage, the
step voltage approaches the magnitude of the output
buffer’s input offset voltage (design target of ± 4.5 mV).
So, for low VREF voltages, the output buffer errors have
greater influence on the VOUT voltage.
TABLE 7-4:
CALCULATION COMPARISON
FIGURE 7-5:
Output Voltage (VOUT) Error.
Example Theoretical
Delta
RVREF
30,180
—
RFS
100
0
100
RZS
80
0
80
R1 + 64*RS +
R2
30,000
30,180
- 180
R1, RAB, R2
10,000
10,060
- 60
VREF
5.00 V
—
VFS
3.3267 V
3.3333 V
- 6.6 mV
VZS
1.6700 V
1.6667 V
+ 3.3 mV
VS
25.88 mV
26.04 mV
- 0.16 mV
VREF
1.5V
—
VFS
0.9980 V
1.0000 V
- 2.0 mV
VZS
0.5010 V
0.5000 V
+ 1.0 mV
VS
7.766 mV
7.813 mV
-0.047mV
Note 1: RVREF = R1 + RAB + R2 ,
RAB = RFS + 64*RS + RZS.
VS = (VFS - VZS) / 64
VREF
VSS
( RFS 0 )
( RZS 0 )
Theoretical VFS ( (2/3) * VREF )
Theoretical VZS ( (1/3) * VREF )
VFS-RL
VZS-RL
Variations due to Output Buffer’s
Input Offset voltage
(Due to RFS 0)
VOUT(FS)
VOUT(ZS)
(Due to RZS 0)
Step Voltage (VS) =
* VREF
(VFS - VZS)
64
VS = VREF / 192
VREF
VS
26.0mV 14.1mV
9.4mV
7.8mV 5.2mV
5.0V
2.7V
1.8V
1.5V
1.0V
when RFS = RZS = 0 .
When:
RFS = RZS = 0 .
VFS-RL should be less than VDD - 1.0V
(due to buffer input not being rail-to-rail, not
meeting this requirement would only effect
VOUT linearity at upper codes)
and Buffer ‘s Impedance/Load.



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