Plotting periodic sawtooth wave with 25%, 50% and 75% duty cycle

How do I generate a periodic sawtooth with varying duty cycle (e.g 25%, 50%, 75%) using x = sawtooth(2*pi*t)?

[Scott MacKenzie]

The idea of "duty cycle" applies to pulse waves, not sawtooth waves. Please try to explain in more detail -- perhaps with a sketch -- what you are trying to do.

[Ginnie Lim]

Hi sir, thank you for your response! I would like to generate a wave like the one shown in the photo attached.

[Scott MacKenzie]

Ok got it! Just posted an answer. Hope this helps.

Answer 1

[Scott MacKenzie]

I'm sure there are other (perhaps better) ways to do this, but I think the following code achieves what you are after:

% create sawtooth waveform (from sawtooth documentation)
T = 5*(1/50);
fs = 1000;
t = 0:1/fs:T-1/fs;
y = sawtooth(2*pi*50*t);

tiledlayout('flow');

% duty cycle = 100%
nexttile;
plot(t,y);
title('100% Duty Cycle');

spread = abs(max(y) - min(y));

% duty cycle = 50%
nexttile;
floor = max(y) - 0.50 * spread;
y1 = y;
y1(y1<floor) = floor;
plot(t,y1);
title('50% Duty Cycle');

% duty cycle = 25%
nexttile;
floor = max(y) - 0.25 * spread;
y2 = y;
y2(y2<floor) = floor;
plot(t,y2);
title('25% Duty Cycle');

% duty cycle = 75%
nexttile;
floor = max(y) - 0.75 * spread;
y3 = y;
y3(y3<floor) = floor;
plot(t,y3);
title('75% Duty Cycle');

[Ginnie Lim]

Thank you so much for your help!!