Dtft

Need help with DTFT problem

Need help with DTFT problem
  1. What is the need of DTFT?
  2. Why do you need DFT even though you have DTFT?
  3. What DTFT explain briefly?
  4. How do you find DTFT from DFT?

What is the need of DTFT?

The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time.

Why do you need DFT even though you have DTFT?

original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic Page 2 function, the DFT provides all the non-zero values of one DTFT cycle.

What DTFT explain briefly?

The DTFT is a transform-pair relationship between a DT signal and its continuous-frequency transform that is used extensively in the analysis and design of DT systems.

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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