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I would like to transform a signal that has fluctuations between 1.8-1.9V (for example) to be in the range of -1V to 1V. Essentially, run it through a linear transformation [ \$y'= (y-a) \cdot b\$ ] What is the easiest way to accomplish this with standard op amps, such that a and b are tunable (say, with a potentiometer)?

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I've used these two circuits in several different applications:

schematic

simulate this circuit – Schematic created using CircuitLab

Inverting with variable input impedance dependent on Gain. No interaction between Gain and Offset.

schematic

simulate this circuit

Non-inverting with high input impedance. Gain is slightly dependent on the Offset setting.

This doesn't answer the entire question - I'm leaving some engineering work for you to do - but it should get you started.

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  • \$\begingroup\$ @ShayOhayon: I reread your example and realized that both circuits could actually work, so I removed the note saying that only one could. \$\endgroup\$
    – AaronD
    Apr 28, 2015 at 14:44

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