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# ps4 - E x E y Would this simple relationship hold if the...

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Michigan State University Department of Electrical and Computer Engineering ECE 366 INTRODUCTION TO SIGNAL PROCESSING Problem Set 4 Spring 2011 Issued: Friday, February 4, 2011 Due: Friday (8:00am), February 11, 2011 1. Let x ( t ) and y ( t ) be two real, orthogonal signals. Show that the energy of the sum of the signals (i.e., x ( t ) + y ( t )) is equal to the sum of the individual energies (i.e.,
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Unformatted text preview: E x + E y ). Would this simple relationship hold, if the signals were not orthogonal? 2. Compute the exponential Fourier Series (EFS) for the periodic signals in Figs. P6.1-1bc in Lathi. 3. Sketch the signal f ( t ) = e-t u ( t ) for all t and ﬁnd the EFS φ ( t ) to represent f ( t ) over the interval (0 , 1). Sketch φ ( t ) for all t ....
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