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(Solved) : Input Signal Previous Question Generated Question 3 Question Examines Discrete Time Signal Q30789879 . . .

Question 4 50 Marks This question examines discrete-time filters. A filter of the form G(z) = with poles defined by p reun will be studied. Part (a)25 Marks With r 0.95 and w -T/10, plot the time response to the input clean sinusoidal waveform generated in the previous question. Show both the transient (initial) and steady-state (after the initial transient) responses. Part (b) 25 Marks Plot the frequency response of the filter. Explain all your working, particularly how the transfer function is converted to gain/phase plots Find the gain and phase from the time-domain response of part (a), and compare to that expected from the frequency response in part (b). Compare the results obtained using these two methods

Input signal from the previous question generated by:

%Question 3: This question examines %discrete-time signal

%generation, for deterministic and %random waveforms

%Part (a) Generate and plot a %sampled sine wave.

clc;

close all;

clear all;

fs = 8000; %sampling frequency

ts = 1/fs; %sampling time

n = 0:ts:4; %sample array

A = 1.2; %amplitude

w = 2*pi*10; %fundamental frequency

x = A*sin(n*w); %waveform function

plot(n,x) %plotting function for %given axis

xlabel(‘n’);

ylabel(‘Amplitude’);

title(‘Q3 Part A: Discrete Sine Wave’);

Question 4 50 Marks This question examines discrete-time filters. A filter of the form G(z) = with poles defined by p reun will be studied. Part (a)25 Marks With r 0.95 and w -T/10, plot the time response to the input clean sinusoidal waveform generated in the previous question. Show both the transient (initial) and steady-state (after the initial transient) responses. Part (b) 25 Marks Plot the frequency response of the filter. Explain all your working, particularly how the transfer function is converted to gain/phase plots Find the gain and phase from the time-domain response of part (a), and compare to that expected from the frequency response in part (b). Compare the results obtained using these two methods Show transcribed image text

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Answer to Input Signal Previous Question Generated Question 3 Question Examines Discrete Time Signal Q30789879 . . .

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