Consider a message signal m(t) with the spectrum shown as follows. The message_bandwidth W =1 kHz. This signal is applied to a product modulator,together with a carrier wave Ac cos(2πfct),producing the DSB-SC modulated wave s(t). This modulated wave is next applied to a coherent detector.Assuming perfect synchronism between the carrier waves in the modulator and detector, determine the spectrum of the detector output when: (a) the carrier frequency fc=1.25 kHz, (b) the carrier frequency fc=0.75 kHz. What is the lowest carrier frequency for which each component of the modulated wave s(t) is uniquely determined by m(t)?