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The mapping z^-1 → g(z^-1) must map inside the unit circle in the z-plane into __________(a) Outside the unit circle(b) On the unit circle(c) Inside the unit circle(d) None of the mentionedI have been asked this question in a job interview.My question comes from Frequency Transformations in the Digital Domain in division Digital Filters Design of Digital Signal Processing

Answer»

Right option is (C) INSIDE the unit circle

Easiest explanation: The map z^-1 → g(z^-1) MUST map inside the unit circle in the z-plane into itself to APPLY digital frequency TRANSFORMATION.



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