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The poles obtained from matched z-transform are identical to poles obtained from which of the following transformations?

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The poles obtained from matched z-transform are identical to poles obtained from which of the following transformations?

(a) Bilinear transformation

(b) Impulse invariance

(c) Approximation of derivatives

(d) None of the mentioned

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I'd like to ask this question from Matched Z Transformation topic in portion Digital Filters Design of Digital Signal Processing

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The correct choice is (b) Impulse invariance

The best I can explain: We observe that the poles obtained from the matched z-transform are identical to the poles obtained with the impulse invariance method.

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