By using a circuit built with a single analog multiplier and five precision resistors, an output voltage (Vo) can be made to create a second-order polynomial. The circuit implements the following quadratic:
Vo = a + bVx + cVx
The input terminals of IC1 are connected to create a positive square term and present the Vx signal to the output with 1-10-V scale factor. Incorporating the voltage-divider network (resistors R3 and R4) in the input signal path provides
additional attenuation adjustment for the coefficient (c) of the square term in the quadratic. Then the passive adder (resistors R1, R2, and R0) is wired to IC1's internal summing circuit to generate the polynomial's other two terms; the
offset term (a) and the linear coefficient (b).
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