Period

Find the period of a signal with the DTFT plot

Find the period of a signal with the DTFT plot
  1. How do you measure the period of a signal?
  2. What is the period of DFT?
  3. What is the signal of period?
  4. How do you find DTFT from DFT?

How do you measure the period of a signal?

You can use the formula ω=2πf where ω is the angular frequency (in rads), with the formula T=1f where T is the period of the signal (in seconds, s).

What is the period of DFT?

the DFT spectrum is periodic with period N (which is expected, since the DTFT spectrum is periodic as well, but with period 2π). Example: DFT of a rectangular pulse: x(n) = 1, 0 ≤ n ≤ (N − 1), 0, otherwise.

What is the signal of period?

A periodic signal is one that repeats the sequence of values exactly after a fixed length of time, known as the period. In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds.

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.

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