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In each of the problems please solve manually (which is worth 75% of the problem points) and then show some MATLAB verificatiProblem 2: An FIR filter (to be designed, a different filter for each part of the problem) has the following input signal: x[

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Answer #1

[n] = 2+2.2cos(0.45An-0.357)+1.7cos(0.6870+0.157)-0.75cos(0.8An- 0.251)

We need to remove 0 . 68 = ولد rad/sample

H() = (z – jwe) (z - e-jwe)

H(z) = (2 – 0.687)(z-e-10.687

H(2) = 24 – z(e30.687 + e-70.687) + 1

H2) = 22 - 2.z.cos(0.687) + 1

H2) = 22 - 2.2 x -0.5358 +1

H2) = 22 +1.07172 +1

If we want a unity gain, we can normalize the transfer function

22 +1.07172 +1 HN(z) = - 3.0717 = 0.325622 +0.34892 +0.3256

So the MATLAB script for obtaining the frequency response of the designed FIR filter

Case - I: When normalization is not required

clc;
clear all;
close all;

b = [1 1.0717 1];
a = 1;
freqz(b,a);

The frequency response in this case will be

Normalized Frequency red sample Normelzed reg.ency redisemple

Case II When we have normalized the filter

clc;
clear all;
close all;

b = [0.3256 0.3489 0.3256];
a = 1;
freqz(b,a);

The frequency response will be

Manila 01 lb Normalized Frequency xredisample Phase de Normelzed reg.ency redisemple



answered by: ANURANJAN SARSAM
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