
14
RC4200
PRODUCT SPECIFICATION
Reducing Mismatch Errors
You need not use 0.01% resistors to reduce resistor product
mismatch errors. Here are a couple of ways to obtain
maximum accuracy out of the extended range multiplier
(see Figure 4) using 1% resistors.
Method 1
VX feedthrough, for example, occurs when VY = 0 and
VOSY
0. This VX feedthrough will equal ±VXVOSY.
Also, if VOSZ
0, there is a VX feedthrough equal to
VXVOSZ. A resistor-product error of
a will cause a VX
feedthrough of
±aVX. Likewise, VY feedthrough errors are:
±VYVOSX, ±VYVOSZ and ±bVY
Total feedthrough:
±VXVOSY ±VYVOSX ±aVX ±bVY ±(VX + VY) VOSZ
By carefully abusing XOS(R5), YOS(R9) and ZOS(R20) this
equation can be made to very nearly equal zero and the
feedthrough error will practically disappear.
A residual of set will probably remain which can be trimmed
outwith VOS(R16) at the output of amp.
Method 2
Notice that the ratios of R1Rb:RCXRd and R2Ra:RCYRd are
both dependent of Rd also that R1, R2, Ra and Rb are all
functions of the maximum input requirements. By designing
a multiplier for the same input ranges on both VX and VY
then R1 = R2, RCX = RCY and Ra = Rb. (Note: it is accept-
able to design a four quadrant multiplier and use only two
quadrants of it.)
Select Rd to be 1% or 2% below (or above) the calculated
value. This will cause
a and b to both be positive (or nega-
tive) by nearly the same amount. Now the effective value of
Rd can be trimmed with an offset adjustment ZOS(R20) on
pin 5.
This technique causes: a slight gain error which can be com-
pensated with the R0 value, and an output of offset error that
can be trimmed with VOS(R16) on the output op amp.
Extended Range Divider
The only cross-product error of interest is the VZ
feedthrough (VX = 0 and VOSX
0) which is easily adjusted
with XOS(R5). See Figure 6.
Resistor product mismatch will cause scaling errors (gain)
that could be a problem for very low values of VZ. Adjust-
ments to YOS(R18) can be made to improve the high gain
accuracy.
Square Root and Squaring
These circuits are functions of single variables so
feedthrough, as such, is not a consideration. Cross product
errors will effect incremental accuracy that can be corrected
YOS(R14) or ZOS(R10). See Figure 9 and Figure 11.