Assume that a certain sequence is determined by its FFT. If the record length is 2ms and the sampling frequency is fs = 10KHz, find N.

(b) Assume that you want to compute the modulus of the Fourier transform using a DFT of size 512 with a sampling interval of 1 second. Evaluate the modulus at frequency (80/512) Hz. Compare your answer to the theoretical value and compute the error.