Let and . It is given that. The signal is applied to the input of a non-linear device, whose output is related to the input as, where a and b are positive constants. The output of the non-linear device is passed through an ideal band-pass filter with centre frequency and bandwidth  to produce amplitude modulated (AM) wave. If it is desired to have the sideband power of the AM wave to be half of the carrier power, then a/b is