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Problem 8 (30 points): Below is a general algorithm for plotting the magnitude response of a filter: ο· Generate a 1 Hz input signal for a large number of samples. ο· Pass it through the filter and obtain the output. ο· Compute the ratio of the "rms value of the output sequence" and the "rms value of the input sequence". This ratio is the magnitude response of the filter at 1 Hz. ο· Repeat this process for 2 Hz, 3 Hz, etc. ο· Plot the magnitude response (in Y-axis) vs. frequency (in X-axis using a log scale). An N-sample moving average FIR filter is given by, y n = 1 x n β i β1 i=0 , an IIR filter with smoothing parameter, , is given by, y n = 1 β x n + y n β 1 , and a difference filter is given by, y n = x n β x n β 1
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Problem 8 (30 points): Below is a general algorithm for plotting the magnitude response of a filter:...
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