Please do not give solution in image format thankuSolve using MathLab solve each part and show output Task 2: Now consider the systemy[n] — 2r cos(0)y[n − 1] + r²y[n − 2] = x[n]with some 0 < r < 1, and 0 ≤0 ≤ π.a) Find the transfer function H(ejw) of this system.b) Plot 20 log10 |H(ejw)| in the interval -π ≤ W≤ π for r = 0.5 and 0 =0 = π. How does the filter change this time?c) The passband and bandwidth is determined with respect to the maximum of 20 log₁0 |H(ejw)| (which canalways be brought to 0dB by multiplying x[n] in the difference equation with an appropriate constant). Foreach value of above, determine the passband and the bandwidth.0, 0 = 0.25, 0 = 0.5π, 0 = 0.8T,

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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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Please do not give solution in image format thanku

Solve using MathLab

solve each part and show output

Task 2: Now consider the system
y[n] — 2r cos(0)y[n − 1] + r²y[n − 2] = x[n]
with some 0 < r < 1, and 0 ≤0 ≤ π.
a) Find the transfer function H(ejw) of this system.
b) Plot 20 log10 |H(ejw)| in the interval -π ≤ W≤ π for r = 0.5 and 0 =
0 = π. How does the filter change this time?
c) The passband and bandwidth is determined with respect to the maximum of 20 log₁0 |H(ejw)| (which can
always be brought to 0dB by multiplying x[n] in the difference equation with an appropriate constant). For
each value of above, determine the passband and the bandwidth.
0, 0 = 0.25, 0 = 0.5π, 0 = 0.8T,

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