Howtosignalprocessing
- How do you find DTFT from DFT?
- What is DTFT vs CTFT?
- What is the sufficient condition for existence of DTFT?
- Why do we use DTFT?
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 is DTFT vs CTFT?
The difference is pretty quickly explained: the CTFT is for continuous-time signals, i.e., for functions x(t) with a continuous variable t∈R, whereas the DTFT is for discrete-time signals, i.e., for sequences x[n] with n∈Z.
What is the sufficient condition for existence of DTFT?
Sufficient Condition for Existence of the DTFT
A sequence x[n] satisfying (7.7) is said to be absolutely summable, and when (7.7) holds, the infinite sum defining the DTFT X(ej ˆω) in (7.2) is said to converge to a finite result for all ˆω.
Why do we use 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.
