Consider the following amplitudemodulation(AM)transmission system. The input signal is푥푡=%&'+*+.We first multiply 푥(푡)by 푐표푠(4푡). That is, 푦푡=푥푡⋅푐표푠(4푡).The transmitter then transmits signal 푦(푡)through the antenna. At the receiver side, we first multiply 푦(푡)by 2푠푖푛(4푡). That is 푧(푡)=푦(푡)·2푠푖푛(4푡)and then pass 푧(푡)through a low pass filter with cutoff frequency 푊=7.5푟푎푑/푠푒푐. Denote the final output by 푤(푡)=푧(푡)*h퐿푃퐹(푡). 1.Plot the CTFT 푊(푗휔)of 푤(푡)for the range of -10<휔<10. 2.Find the expression of 푤(푡)