# presec2 - (c) Suppose that y ( t ) = x ( t ) + c where c is...

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ECE 2200: Section II Problems (Week 3 / Spring 2009) 1. Consider the product of n sinusoids with positive frequencies p ( t ) = N p i =1 cos(2 πf i t ) (a) Determine the maximum number of lines in the spectrum of p ( t ) for various f i as a function of n . Give a numerical example illustrating n = 4. (b) Determine the minimum number of lines in the spectrum of p ( t ) for various f i as a function of n . Give a numerical example illustrating n = 4. 2. Problem P-2.21 in McClellan, Schafer, and Yoder, Signal Processing First , Pearson Prentice Hall, 2003. 3. Problem P-3.10 in McClellan, Schafer, and Yoder, Signal Processing First , Pearson Prentice Hall, 2003. 4. Problem P-3.14 in McClellan, Schafer, and Yoder, Signal Processing First , Pearson Prentice Hall, 2003. Plus the following additional parts:
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Unformatted text preview: (c) Suppose that y ( t ) = x ( t ) + c where c is a real number, i.e. y ( t ) is just x ( t ) with an addition to its DC value. With a k the Fourier coe±cients of x ( t ), show that the Fourier coe±cients for y ( t ) are b = a + c and b k = a k for k n = 0. (d) Suppose that y ( t ) = dx ( t ) dt and x ( t ) is the triangle wave of Figure 3-18 in the text with Fourier coe±cients in (3.39). Sketch y ( t ). What are the Fourier co-e±cients of y ( t )? Use Matlab to plot the approximation error in synthesizing y ( t ) over two periods for N = 3 , 7, 11 and 15. 5. Problem P-3.19 in McClellan, Schafer, and Yoder, Signal Processing First , Pearson Prentice Hall, 2003. 1...
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## This note was uploaded on 09/30/2009 for the course ECE 2200 taught by Professor Johnson during the Spring '05 term at Cornell University (Engineering School).

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