An apparatus and method for processing signals in the analog domain. A signal is derived from analog circuit properties that is shift and scale invariant. Although the circuit properties are not quantized as in traditional digital signal processing, the signal is immune from effects of the properties, such as common mode noise, absolute voltage or current level, finite settling time, etc., as a digital signal would be. The shift and scale invariance allows for mathematical operations of addition, subtraction, multiplication and division of signals. By combining these operations, various circuits may be constructed, including a voltage controlled amplifier, a time gain amplifier, and an analog-to-digital converter. The circuits are constructed using almost no non-linear, active devices, and will thus use less power for a given speed than comparable digital devices, and will often be faster as there are no delay elements and no need to wait for the circuit properties to settle.