EEL 3135 HW#3 Due Date Sept 21 2.1 A signal composed of...

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EEL 3135 HW #3 Due Date: Sept. 21 2.1 A signal composed of sinusoid is given by the equation:   4 / 800 cos 8 1000 cos 6 3 / 600 cos 5 20 t t t t x (a) Sketch the spectrum of this signal, indicating the complex size of each frequency component. Make separate plots of real/imaginary or magnitude/phase of the complex amplitudes at each frequency. (b) Is x(t) periodic? If so, what is the period? (c) Now consider a new signal defined as     6 / 1500 cos 3 t t x t y . How is the spectrum changed? Is y(t) periodic? If so, what is the period? 2.2 Signal Processing First, P-3.2 2.3 Let   3 10 cos 4 t t x . (a) Express x(t) as a sum of complex exponentials. (b) Sketch the spectrum of x(t). (c) Find the fundamental period of x(t). 2.4 Signal Processing First, P-3.4 2.5 Suppose we have a signal:  
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