An amplitude detector has a phase shifter such as one using an analog differentiator and an adjustable gain stage, or one using a determinable delay, the phase shifter coupled to shift phase of an input signal to the amplitude detection apparatus. The detector also has a first analog multiplier coupled to square the input signal, a second analog multiplier coupled to square output of the phase shifter; and an analog adder coupled to sum outputs of the first and second analog multiplier. An automatic gain control circuit has the amplitude detector coupled to control gain of a controllable amplifier.