Dtft

Finding the discrete time fourier coefficients to this problem

Finding the discrete time fourier coefficients to this problem
  1. How do you find DTFT from DFT?
  2. What are the DFT coefficients?

How do you find DTFT from DFT?

Correct Answer: Theoretical, Continuous-ω 2π-Periodic DTFT can be obtained by continuous Lagrangian-interpolation of the DFT Samples. So that the values at ω=2πk/N will be the DFT Samples X[k] for k=0,1,...,N−1 and the Interpolation-function's zero-crossings are at 2πk/N.

What are the DFT coefficients?

DFT coefficients, Xk, give amplitudes and phases of complex sinusoids at integer frequencies k, from 0 to N−1, that sum to the original signal x[n], comprised of N points.

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