Let c(t) = Ac cos (2πfct) and m(t) = cos (2πfmt). It is given that fc 5fm. The signal c(t) + m(t) is applied to the input of a non-linear device, whose output vo(t) is related to the input vi(t) as v0(t) = avi(t) + bvi2(t) where a and b are positive constants. The output of the non-linear device is passed through an ideal band-pass filter with center frequency fc and bandwidth 3 fm, to produce an amplitude modulated (AM) wave. If it is desired to have the side band power of the AM wave to be half of the carrier power, then a/b is

• A. 0.25
• B. 0.5
• C. 1
• D. 2