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2) Given an impulse response h(n), suppose the impulse response of another discrete-time LTI system g(n) is given by g(n) = (-1)^n h(n). (a) Find a simple expression relating G(z) to H(z). Show your derivation. (b) Find the poles and zeros of G in terms of the poles and zeros of H. (c) Find a simple expression relating Gf(om) to Hf(om). Show your derivation.

2) Given an impulse response h(n), suppose the impulse response of another discrete-time LTI system g(n) is given by g(n) = (-1)^n h(n). (a) Find a simple expression relating G(z) to H(z). Show your derivation. (b) Find the poles and zeros of G in terms of the poles and zeros of H. (c) Find a simple expression relating Gf(om) to Hf(om). Show your derivation.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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2) Given an impulse response h(n), suppose the impulse response of another discrete-time LTI system g(n) is given by g(n)= (-1)^n h(n). (a) Find a simple expression relating G(z) to H(z). Show your derivation. (b) Find the poles and zeros of G in terms of the poles and zeros of H. (c) Find a simple expression relating Gf(om) to Hf(om). Show your derivation. (e) Illustrate (a), (b), (c) with an example LTI system of your choice.
Transcribed Image Text:2) Given an impulse response h(n), suppose the impulse response of another discrete-time LTI system g(n) is given by g(n)= (-1)^n h(n). (a) Find a simple expression relating G(z) to H(z). Show your derivation. (b) Find the poles and zeros of G in terms of the poles and zeros of H. (c) Find a simple expression relating Gf(om) to Hf(om). Show your derivation. (e) Illustrate (a), (b), (c) with an example LTI system of your choice.
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