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HW 06 - function Determine if aliasing takes place and fold...

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ME360 homework assignments, Spring 2010 HW 6, March 3, due Wednesday, March 10 Reading Text 1: Ch. 8: sec. 8.0, 8.10, 8.1, 8.2, 8.4, Ch. 16, sec. 16.5 (DFT is just N DFS). Text 3: review of frequency response: Ch. 6, 7, also Ch. 10, sec. 10.1.4, 10.2. Text 4: pp 612-640 (digital meets analog: A/D conversion, examples of the industrial converters: delta-sigma, switched capacitor, etc.). Problems 1. Show this for a fundamental frequency 1/28 cycles/sample. 2. Consider a CT function x(t)= 5cos( 18πt+π/4) +3cos(36πt+π/5 )+2cos(54 πt+π/6 ). Compute 3 times undersampled and 8 and 16 times oversampled DT versions of this
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Unformatted text preview: function. Determine if aliasing takes place and fold the aliased signal into the principal range. Indicate DFS of each sampled function. 3. Plot magnitude spectrum of the CT function of Problem 2 vs. magnitude spectra of its 3 times undersampled and 8 and 16 times oversampled DT versions. Plot the corresponding phase spectra. On all plots clearly indicate the image separation or the lack of thereof, as relevant. Comment on the size of image separation as a function of sampling rate and support your comment with specific numbers for the function sampled in this problem....
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