Hi,
A quasi square wave is a waveform that resembles a square wave but has some variations. It typically has a duty cycle other than 50%. To create a quasi square wave in MATLAB, you can use the “square” function. This function generates a square wave with a specified duty cycle. Here is a generalized way to create a quasi square wave:
Basic Quasi Square Wave:
% Generate a quasi square wave with a period of 2*pi
t = linspace(0, 3*pi, 100); % Create a time vector
x = square(t); % Generate the quasi square wave
plot(t/pi, x, '.-', t/pi, sin(t));
xlabel('t / \pi');
grid on;
In this example, I created a quasi square wave with a value of 1 for intervals [n*pi, (n+1)pi) for even n and a value of -1 for intervals [npi, (n+1)*pi) for odd n. The wave never has a value of 0. We overlay a sine wave for comparison.
Custom Duty Cycle:
You can also specify a duty cycle for your quasi-square wave. The duty cycle represents the percentage of the signal period during which the square wave is positive. For example:
% Generate a quasi square wave with a custom duty cycle
t = linspace(0, 50, 100); % Time array
duty_cycle = 30; % Custom duty cycle (in percent)
x = square(t, duty_cycle); % Generate the quasi square wave
% Plot the waveform
plot(t, x)
title('Quasi Square Wave')
xlabel('Time')
ylabel('Amplitude')
grid on;
Adding Noise:
If you want to add noise to your quasi-square wave to customize it.
% Generate a noisy quasi square wave
t = 0:1/1e3:0.07; % Time vector
y = square(2*pi*30*t, 37) + randn(size(t))/10; % Add white Gaussian noise
duty_cycle = dutycycle(y, t); % Compute the duty cycle
plot(t, y);
title(['Quasi Square Wave with Duty Cycle: ', num2str(duty_cycle)]);
You can adjust the parameters (such as duty cycle, frequency, and noise level) according to your specific requirements.
Feel free to play around with these examples, hope this helps!
