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Unformatted text preview: cases, namely, 2 1 for the pulse at the origin. (a) Using the basic pulse train equation from Example 3.5 in the text, namely, ( 29 1 1 sinc 2 T k T T a k = , k , calculate the Fourier coefficients for the three cases above. (b) Next, rewrite the three equations into the form ( 29 1 1 sinc 2 T k T Ta k = , and use MATLAB to plot k vs Ta k for all three cases. Make sure you use the same scale on each plot. Note that as T gets larger, the incremental frequency, T 2 = , from one sample to the next gets smaller, but the variable, T k k 2 = defines the location of the current sample. See Text, Figure 4.2. (c) What can you say about the limiting values of the three plots, as T ? Do they approach the envelope (i.e., the outer boundary) of the plots? ) ( t x a ) ( t x b ) ( t x c t 2 6 8 12 4 6 10 12 5 6 11 12 t t 1 1 1...
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 Spring '07
 WOZNY

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