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Question 2: Implement the Fast Fourier Transform. Make your implementation generic to accept any number of points for the input signal. Use your FFT implementation to show the frequency spectrum of some signals as described below. Select the sampling rate such that you generate 128, 512, 2048, and 8192 samples during the 1 second a) Generate an analog signal of your choice with known analog frequency (or frequencies) for 1 second. b) Calculate the DFT of this signal and measure the processing time. Plot the DFT magnitude. c) Calculate the FFT of this signal and measure the processing time. Plot the FFT magnitude. Show transcribed image text Question 2: Implement the Fast Fourier Transform. Make your implementation generic to accept any number of points for the input signal. Use your FFT implementation to show the frequency spectrum of some signals as described below. Select the sampling rate such that you generate 128, 512, 2048, and 8192 samples during the 1 second a) Generate an analog signal of your choice with known analog frequency (or frequencies) for 1 second. b) Calculate the DFT of this signal and measure the processing time. Plot the DFT magnitude. c) Calculate the FFT of this signal and measure the processing time. Plot the FFT magnitude.

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Answer to Question 2: Implement the Fast Fourier Transform. Make your implementation generic to accept any number of points for th…