MATLAB: To compute magnitude and phase spectrum

digital signal processing

Hello,
I have a function, for that I need to find the magnitude and phase spectrum on matlab. Can someone please help me with the code, please?
The parameters are A=2 a=4 -20<=F<=20.
44.JPG
This is the function.

Best Answer

I'm not sure what F is referring here.
However, we can find the Magnitude and Phase spectrum of a function using FFT function in matlab. I have wrirren the below code to evalute the magnitude and phase spectrum of the given function and also plotted them.
clc
clear
close all
A=2;
a=4;
fs=1000; % Sampling frequency
t=0:1/fs:1; %Time 
x=A*exp(-a.*t); %Signal
plot(t,x) %Plotting the time domain signal
xlabel('t');
ylabel('x(t)');
title('Time domain Signal')
N=length(x);
N1=2^nextpow2(N);
X=fft(x,N1);
X=X(1:N1/2);%Discard Half of Points
X_mag=abs(X); %Magnitude Spectrum
X_phase=phase(X); %Phase Spectrum
f=fs*(0:N1/2-1)/N1; %Frequency axis
figure
plot(f,(X_mag/N1)); %Plotting the Magnitude Spectrum after Normalization
xlabel('Frequency (Hz)');
ylabel('Magnitude Spectrum');
title('Magnitude Spectrum vs f')
figure
plot(f,X_phase); %Plotting the frequency domain
xlabel('Frequency (Hz)');
ylabel('Phase Spectrum');
title('Phase Spectrum vs f')
Please refer the below documentation for more details about the FFT function:
https://www.mathworks.com/help/matlab/ref/fft.html
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