Consider a message signal m(t) with bandwidth W = 5.86 kHz. Thissignal is applied to a product modulator, together with a carrierwave c t = cos(210000Ï€t) producing the DSB-SC modulatedwave s(t). This modulated wave is next applied to a coherentdetector producing an output signal y(t). The coherent detectorconsists of a product modulator that multiplies s(t) by cr = 2cos(222000Ï€t) and a low pass filter which has a cutoff frequency 21 kHz. The output of the coherent detector y(t)would be