Howtosignalprocessing
- What is the condition for the Existence of DTFT?
- What are the conditions for Existence of Fourier transform?
- What DTFT explain briefly?
- What are the limitations of DTFT?
What is the condition for the Existence of DTFT?
So existence means simply that the sum that defines a DTFT does not blow up. This is easy to prove for absolutely summable sequences. If you take the magnitude of the DTFT at any point omega, this is equal to the sum for n that goes from minus infinity to plus infinity of x[n] times e to the- j omega n in magnitude.
What are the conditions for Existence of Fourier transform?
Condition for Existence of Fourier Transform
The function x(t) has a finite number of maxima and minima in every finite interval of time. The function x(t) has a finite number of discontinuities in every finite interval of time. Also, each of these discontinuities must be finite.
What DTFT explain briefly?
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.
What are the limitations of DTFT?
Two computational disadvantages of the DTFT are: the direct DTFT is a function of a continuously varying frequency and the inverse DTFT requires integration. The Fourier series coefficients constitute a periodic sequence of the same period as the signal; thus both are periodic.
