Signals and Systems
Z Transform
Practice questions from Z Transform.
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IncorrectIf the -transform of a finite-duration discrete-time signal is , then the transform of the signal is
Let
m/2 must be an integer.
is even.
The Z-transform of a discrete signal is
Which one of the following statements is true?
Discrete-time Fourier transform of converges if is
Discrete-time Fourier transform of converges if is
Discrete-time Fourier transform of converges if is such that is a left-sided sequence
Discrete-time Fourier transform of converges if is such that is a rightsided sequence
Based on pole location, there are 4 possible ROCs
ROC-1 : ∴ |Z| < 1/5, x[n] is a left-sided sequence unit circle does not lie in this ROC : DTFT does not converge.
ROC-2:
Unit circle does not lie in this ROC ∴ DTFT does not converge.
ROC – 3:
Unit circle lies in this ROC ∴DTFT converges
ROC-4: |Z| > 3, x[n] is a right-sided sequence unit circle does not lie in this ROC ∴ DTFT does not converges.