EEE 391Basics of Signals and SystemsComputer Assignment IIDue: 4 November 2011, Friday by 17:00 in the homework boxConsider the following periodic waveforms:i) a square wave with periodT◦, duty cycle 40%, and average value 2,ii) a triangular waveform with periodT◦and average value –1,iii) a sawtooth waveform with periodT◦and average value zero,iv) a half-wave rectified sine function with periodT◦and average value –2.a) Sketch these waveforms as accurately as possible and label them as needed.b) Find allof the Fourier series coefficients of these waveforms through analysis by handand express them as compactly as possible.c) If allof the Fourier series coefficients are used, the synthesis equation is as follows:x(t) =∞summationdisplayk=−∞ake−j2πkf◦twheref◦= 1/T◦is the fundamental frequency of the waveform. However, infinite limits are notpractical when trying to synthesize the signal on a computer. Try to approximate the periodicsignalx(t) by truncating the synthesis equation using different values of
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