Consider a square-law detector; using a nonlinear device whose transfer characteristics is defined by v2 (t) = a1v1 (t) + a2v21 (t), where a1 and a2 are constant, v1 (t) is the input, and v2 (t) is the output. The input consists of the AM wave.
(a) Evaluate the output v2 (t).
(b) Find the conditions for which the message signal m (t) may be recovered from v2 (t).