Question
Download Solution PDFConsider two infinite duration input sequences {x1[n], x2[n]}. When will the Region of Convergence [ROC] of Z-transform of their superposition i.e. {x1[n] + x2[n]} be entire Z plane except possibly at Z = 0 or Z = ∞ ?
This question was previously asked in
ESE Electronics 2015 Paper 1: Official Paper
Answer (Detailed Solution Below)
Option 1 : When their linear combination is of finite duration
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution
Download Solution PDFExplanation:
Consider the signal x[n] = δ[n]
ROC – entire z-plane
θ < |z| < ∞
- Finite length signals will have the ROC as entire z-plane
For the given signal, if their linear combination is finite length then the ROC is entire z-plane
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