Consider the following three continuous-time signals with a fundamental period of T = 1/2: x(t) = cos(4nt) y(t) = sin(4n

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Consider The Following Three Continuous Time Signals With A Fundamental Period Of T 1 2 X T Cos 4nt Y T Sin 4n 1 (27.53 KiB) Viewed 25 times

Consider the following three continuous-time signals with a fundamental period of T = 1/2: x(t) = cos(4nt) y(t) = sin(4nt) z(t) = x(t)y(t) (1) Determine the Fourier series coefficients of x (t). [5 marks] (11) Determine the Fourier series coefficients of y(t). [5 marks] (111) Use the results of parts (1) and (ii), along with the multiplication property of the continuous-time Fourier series, to determine the Fourier series coefficients of z(t) = x(t)y(t). [5 marks] (iv) Determine the Fourier series coefficients of z(t) through direct expansion of z(t) in trigonometric form, and compare your result with part (iii). [5 marks]