3. Consider two periodic signals x(t) and y(t) that have the following time-domain relationship: y(t) = 8x(8t - 8) + 8.

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3 Consider Two Periodic Signals X T And Y T That Have The Following Time Domain Relationship Y T 8x 8t 8 8 1 (93.96 KiB) Viewed 20 times

3. Consider two periodic signals x(t) and y(t) that have the following time-domain relationship: y(t) = 8x(8t - 8) + 8. Further denote the fundamental angular frequencies of the signals x(t) and y(t) as Wx and Wy) and their complex-exponential Fourier series coefficients as Cn and dn with phase angles on and Øn, respectively. (i) For n not equal to zero, express dn in terms of Cn. If |C41 = 1.25, then what is the magnitude of dĄ? (ii) If the dc value of x(t) is 0.5, then what is the dc value of y(t)? (iii) Express Øn in terms of On. If 01 = 0.2 rad, Wx = 0.15 rad/s, then what is the value of 0,? (iv) If the 5th harmonic of x(t) is 500 Hz, then what is the frequency of the 10th harmocnic of y(t)? (20 Marks)