Matlab Basics

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Matlab code to generate Sin Wave:

clc;

clear;

close all;

% Define x from 0 to 2*pi with step size 0.01

x = 0:0.01:10*pi;

% Compute y = sin(x)

y = sin(x);

% Plot the sine wave

plot(x, y, 'r-', 'LineWidth', 2);

grid on;

% Add labels and title

xlabel('x (radians)');

ylabel('sin(x)');

title('Sine Waveform without linspace');

Matlab code to generate Sin Wave and Cosine Wave:

clc;

clear;

close all;

% Define step size

step = 0.01;

% Define x for sine wave from 0 to 2*pi

x1 = 0:step:2*pi;

y1 = sin(x1);

% Define x for cosine wave starting right after sine ends

% So it continues from 2*pi to 4*pi

x2 = (2*pi + step):step:(4*pi);

y2 = cos(x2);

% Combine the x and y vectors

x = [x1, x2];

y = [y1, y2];

% Plot the combined wave

plot(x, y, 'r-', 'LineWidth', 2);

grid on;

xlabel('x (radians)');

ylabel('Amplitude');

title('Sine Wave followed by Cosine Wave');

Matlab code to shift the phase of sin wave and cosine wave:

clc;

clear all;

close all;

step = 0.01;

phase_shift = pi/4; % Phase shift in radians

phase=pi/2;

x1 = 0:step:2*pi;

y1 = sin(x1); % Apply phase shift

x2 = (step+2*pi):step:4*pi;

y2 = cos(x2 + phase); % Apply phase shift

x = [x1, x2];

y = [y1, y2];

plot(x, y, 'r-', 'LineWidth', 2);

grid on;

title('Sine Wave with Phase Shift');

xlabel('x');

ylabel('sin(x + \phi)');

 Matlab code for updating the number of waves in a second

clc;

clear all;

close all;

step = 0.01;

n=2;

phase_shift = pi/4; % Phase shift in radians

phase=pi/2;

x1 = 0:step:2*n*pi;

y1 = sin(x1); % Apply phase shift

x2 = (step+2*n*pi):step:4*n*pi;

y2 = sin(x2 + phase); % Apply phase shift

x = [x1, x2];

y = [y1, y2];

plot(x, y, 'r-', 'LineWidth', 2);

grid on;

title('Sine Wave with Phase Shift');

xlabel('x');

ylabel('sin(x + \phi)');

 Matlab code for BPSK Modulated Signal:

fs = 1000; % Sampling frequency

t = 0:1/fs:5-(1/fs); % Time vector from 0 to 5 seconds

carfreq = 2; % Carrier frequency (5 Hz)

car = sin(2*pi*carfreq*t); % Carrier sine wave

% Define the bit pattern (BPSK)

bp = [1 -1 1 1 -1]; % Binary pattern

% Repeat the bit pattern to match the length of the time vector

bpsk_signal = []; % Initialize the BPSK signal

% Length of each bit duration

bit_duration = length(t) / length(bp);

% Generate BPSK signal by modulating the carrier with each bit

for i = 1:length(bp)

% Generate a section of the carrier signal modulated by the current bit

bpsk_signal = [bpsk_signal, bp(i) * car((i-1)*bit_duration + 1 : i*bit_duration)];

end

% Plot the resulting BPSK signal

figure;

plot(t, bpsk_signal, 'r-', 'LineWidth', 2);

grid on;

title('BPSK Signal');

xlabel('Time (s)');

ylabel('Amplitude');

MATLAB SAMPLE 1

clc;

clear;

close all;

x=[0 1 0 1 0];

y=1:5;

figure;

subplot(4,1,1);

stairs(y,x);

xlim([1 5]);

ylim([-1 2]);

grid on;

subplot(4,1,2);

stairs(y,x);

xlim([1 5]);

ylim([-1 2]);

grid on;

MATLAB SAMPLE 2

matrix = zeros(1,5);

z=zeros(1,5);

for i=1:5

n=5;

matrix(i)=z(i)+i;

end

disp(matrix);

MATLAB SAMPLE 3

matrix=[1 0 0 1 0];

z=zeros(1,5);

for i =1:5;

if(matrix(i)==0)

z(i)=-1;

else

z(i)=1;

end

end

disp(z);

brsa=xor(matrix,1);

disp(brsa);

ber analysis

snr = 0:0.1:20;

ebno=10.^(snr/10);

bere=0.5*erfc(sqrt(ebno));

plot(snr,bere);

axis([0 20 1e-5 1]);

set(gca, 'YScale', 'log');