FFT.rar_The Signal_fft

% FFT Home Work clc;close all; clear all; % Generate the sine wave sequences fs = 1000; % Sampling frequency ts = 1/fs % Sampling time interval t = 0:ts:2-ts; % Time vector n = length(t) % Number of samples %nfft = 1000; % Length of FFT % Generate the sine wave A1 = 4; %amplitude of x1 (first signal) A2 = 5; %amplitude of x2 (second signal) A3 = 15; %amplitude of x3 (third signal) f1 = 2; %frequency of x1 (first signal) f2 = 4/7; %frequency of x2 (second signal) f3 = 10; %frequency of x3 (third signal) x1 = A1*sin(2*pi*f1*t+2*pi/3); x2 = A2*cos(2*pi*f2*t); x3 = A3*sin(2*pi*f3*t+5*pi/3); y = x1 + x2 + x3; %Calculate FFT Y = fft(y); length(Y) %Y =Y(1:nfft/2); Mag_Y = abs(Y); %Take the magnitude of fft of Y %f = (0:nfft/2-1)*fs/nfft; Phase_Y=angle(Y); %Plot signal figure(1) plot(t,y); title('Sine wave signal'); xlabel('time (s)'); ylabel('Amplitude'); %Plot FFT figure(2) plot(Mag_Y/1000); xlim([0 length(Y)/40]) title('FFT of the Sine wave signal'); xlabel('Frequency (Hz)'); ylabel('Magnitude of FFT'); %Plot FFT figure(3) plot(Phase_Y); title('FFT of the Sine wave signal'); xlabel('Frequency (Hz)'); ylabel('Phase');