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quiz03 - c in the approximation f t = cx t so that the...

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ECE 108 Signals and Systems Spring 2007, Instructor: Tiffany Li QUIZ 3 (50 minutes) Name: 1. (20) True or False: (a) ( ) Fourier series exist only for real signals. (b) ( ) Fourier series exist only for periodic signals. (c) ( ) In the exponential Fourier series, the pair of coefficients D n and D - n always appear in complex conjugates. (d) ( ) If the signal is an odd function, the DC term and all the cos ( . ) terms will not be present in the Fourier series. 2. (25 points) For the signals f ( t ) and x ( t ) shown below, find the compoenent of the form x ( t ) contained in f ( t ) . In other words, find the optimum value of
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Unformatted text preview: c in the approximation f ( t ) = cx ( t ) so that the error signal is minimum. t t x(t) 1 1 1 1 f(t) 1 3. (30 points) Find the trigonometric Fourier series for the following waveform (15 points), and sketch the respective amplitude spectrum and phase spectrum (15 points).-1 1 3 5-5-3 2 f(t) t 2 4. (25 points) Find the exponential Fourier series of the signal in the last problem (10 points), and sketch the respective amplitude spectrum and phase spectrum (15 points). 3...
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quiz03 - c in the approximation f t = cx t so that the...

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