Fourier transformations of discrete time signals [closed]

1. What is the Fourier transform of a discrete signal?
2. Is Fourier transform of discrete signal continuous?
3. How do you find the discrete-time in Fourier transform?
4. Is the discrete version of discrete-time Fourier transform?

What is the Fourier transform of a discrete signal?

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.

Is Fourier transform of discrete signal continuous?

The DTFT itself is a continuous function of frequency, but discrete samples of it can be readily calculated via the discrete Fourier transform (DFT) (see § Sampling the DTFT), which is by far the most common method of modern Fourier analysis. Both transforms are invertible.

How do you find the discrete-time in Fourier transform?

Find the DTFT of the sequence x(n)=u(n−k). ⇒F[u(n−k)]=e−jωk+e−jω(k+1)+e−jω(k+2)+... ⇒F[u(n−k)]=e−jωk(1+e−jω+e−j2ω+e−j3ω+...)

Is the discrete version of discrete-time Fourier transform?

In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to a sequence of values. The DTFT is often used to analyze samples of a continuous function.