English, 02.04.2020 19:58 LizzieS8167

Fast Fourier Transform Algorithm

a. Calculate the approximate number of complex operations (COs) required to compute an 18-point DFT by directly evaluating the 18-point DFT sum. Here a complex operation is taken to mean 1 complex addition and 1 complex multiplication.
b. Derive a complete set of equations to show how an 18-point Discrete Fourier Transform (DFT) can be calculated in terms of two 3-point DFTs and one 2-point DFT via decimation-in-time.
c. Based on your answer to part b) above, list the complete ordering of the 18- point input to your 18-point FFT algorithm.
d. Based on your answer to part b) above, calculate the approximate number of complex operations (COs) required to compute an 18-point DFT using your FFT algorithm

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Fast Fourier Transform Algorithm

a. Calculate the approximate number of complex operatio...