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Page 1 of 2EE2023 Signals & Systems Quiz Semester 1 AY2011/12 Date: 6 October 2011 Time Allowed: 1.5 hours Q.1 Consider the periodic signal ( )x tgiven by the expression ( )()()32232235322j tj tj tj tx tj ejejej e−−=+−+++−(a) What is the fundamental period and fundamental frequency of ( )x t? (b) Sketch the amplitude and phase spectra of ( )x t. (c) Is ( )x ta real signal ? Justify your answer. (d) What is the power of ( )x t? Q.2 Derive the Fourier transform of the signal ( )x tshown in Figure Q2-1. Derive the Fourier transform of the periodic signal ( )y tshown in Figure Q2-2. Q.3 A signal is modeled by ( )()()2rectrect22ttx t=where denotes convolution. Determine the spectrum, ()Xf, of ( )
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