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y(n) = 0.0899x(n) + 0.0257x(n − 1) - 0.0257x(n − 2) - 0.0899x(n − 3) + 1.6148y(n − 1) – 1.9395y(n − 2) + 1.2807y(n − 3) - 0.5852y(n-4) -

y(n) = 0.0899x(n) + 0.0257x(n − 1) - 0.0257x(n − 2) - 0.0899x(n − 3) + 1.6148y(n − 1) – 1.9395y(n − 2) + 1.2807y(n − 3) - 0.5852y(n-4) -

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
Problem 1PE
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1. Consider the difference equation shown below. y(n) = 0.0899x(n) + 0.0257x(n − 1) – 0.0257x(n − 2) — 0.0899x(n − 3) + 1.6148y(n − 1) – 1.9395y(n − 2) + 1.2807y(n − 3) −0.5852y(n - 4) Solve the following: A. System Function, H(z) B. Poles and zeros position in the z-plane C. Expression of the impulse response, h(n). Verify your answer by comparing the stem plots of the first 50 samples of h(n) vs. using impz () function D. Frequency response plot of the system. Comment on the plot of the frequency response in relation to the position of the poles and zeros.
Transcribed Image Text:1. Consider the difference equation shown below. y(n) = 0.0899x(n) + 0.0257x(n − 1) – 0.0257x(n − 2) — 0.0899x(n − 3) + 1.6148y(n − 1) – 1.9395y(n − 2) + 1.2807y(n − 3) −0.5852y(n - 4) Solve the following: A. System Function, H(z) B. Poles and zeros position in the z-plane C. Expression of the impulse response, h(n). Verify your answer by comparing the stem plots of the first 50 samples of h(n) vs. using impz () function D. Frequency response plot of the system. Comment on the plot of the frequency response in relation to the position of the poles and zeros.
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