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Consider the length-10 sequence, defined for 0 lessthanorequalto n lessthanorequalto 9. x[n] = [-3 5 45 -15 -9 -19 -8 21 -10 23], with a

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Consider the length-10 sequence, defined for 0 lessthanorequalto n lessthanorequalto 9. x[n] = [-3 5 45 -15 -9 -19 -8 21 -10 23], with a 10-point DFT given by X[k], 0 lessthanorequalto k lessthanorequalto 9. Evaluate the following functions of X[k] without computing the DFT coefficients X[k], 0 lessthanorequalto k lessthanorequalto 9 directly: X[0] X[5] Verify the results of part (a) by computing the DFT x[k]of the given sequence x[n] using MATLAB and then evaluating the functions of x[n] listed

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