# hw7 - x n = 0 6 n u n with h n = ± 1 ≤ n ≤ 5 otherwise...

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BME 311 PROBLEM SET #7 March 15, 2006 DUE DATE: March 22, 2006 Show work on separate sheets of paper. Include all hand plots, Matlab plots, and Matlab code. 1. [20] Use Matlab to determine the DTFT of: (a) x [ n ] = 0 . 6 n u [ n ]. Plot the magnitude and phase of X (j ω ) from - π to π . (b) x [ n ] = 0 . 6 n - 2 u [ n - 2]. Again plot X (j ω ). 2. [20] Using Matlab: (a) Numerically calculate the convolution of
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Unformatted text preview: x [ n ] = 0 . 6 n u [ n ] with h [ n ] = ± 1 , ≤ n ≤ 5 , otherwise , and plot. (b) Numerically calculate the DTFT of both x and h , calculate their product, then numerically compute the inverse DTFT of the product and plot the result. Compare to part (a). 3. [30] O&W, 5.21 (a)–(f). 4. [30] O&W 5.24. 1...
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