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If the contour on which the z-transform is evaluated is as shown below, then which of the given condition is true?

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If the contour on which the z-transform is evaluated is as shown below, then which of the given condition is true?

(a) R0>1

(b) R0<1

(c) R0=1

(d) None of the mentioned

The question was asked in a national level competition.

My doubt is from Linear Filtering Approach to Computation of DFT in chapter DFT Efficient Computation – Fast Fourier Transform Algorithms of Digital Signal Processing

1 Answer

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Best answer
Correct option is (a) R0>1

Easy explanation: From the definition of chirp z-transform, we know that V=R0e^jθ.

If R0>1, then the contour which is used to calculate z-transform is as shown below.

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