Transport delay generate to matlab function

Hello

I wanted to draw the same triangular waves with phase shifting using transport delay and I succeeded. But I want to do this using matlab function. How can I do it?

[Sam Chak]

Can you provide the triangular wave function? Once you have that, we can determine the translational shift on the x-axis.

[Enes]

I understand, it makes sense. The equation is like this 0≤x<12.5μs: y=80000x

12.5μs≤x<25μs: y=−80000x+2 like this. This is for my waveform. The second one will start after this one ends and will have the same form.

Answer 1

[Sam Chak]

Hi @Enes

I applied the modulo operation to the triangular membership function from the Fuzzy Logic Toolbox to create the equilateral triangular wave. You can adjust the base length (period) and the phases to suit your application. Personally, I prefer the trimf() function, but you may also use the sawtooth() function. If you would like to create your own version of the triangular function, please replace the trimf() function accordingly. The MATLAB Function block should support the mod(), trimf(), and sawtooth() functions.

t   = linspace(0, 4*sqrt(3), 7001);

p   = 2/sqrt(3);            % period (base length of Equilateral triangle)
z1  = mod(t - 0*p/4, p);    % modulo operation
z2  = mod(t - 1*p/4, p);    
z3  = mod(t - 2*p/4, p);    
z4  = mod(t - 3*p/4, p);    

y1  = trimf(z1, [0*p  1*p/2 1*p]);      % blue
y2  = trimf(z2, [0*p  1*p/2 1*p]);      % red
y3  = trimf(z3, [0*p  1*p/2 1*p]);      % orange
y4  = trimf(z4, [0*p  1*p/2 1*p]);      % purple

plot(t, [y1; y2; y3; y4]), grid on, axis equal
xlabel('Time'), ylabel('Amplitude')

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[Enes]

thank you so much sir. i added 8 signal totally my code is below: by the way this code in simulink matlab function block

function [y1, y2, y3, y4, y5, y6, y7, y8] = phaseShiftedSignals(t, p)

% % %Inputs:

% % % t: Time vector

% % % p: Period

% % %Phase-shifted signals

z1 = mod(t - 0*p/8, p); % No phase shift

z2 = mod(t - 1*p/8, p); % Phase shift: p/8

z3 = mod(t - 2*p/8, p); % Phase shift: 2p/8

z4 = mod(t - 3*p/8, p); % Phase shift: 3p/8

z5 = mod(t - 4*p/8, p); % Phase shift: 4p/8

z6 = mod(t - 5*p/8, p); % Phase shift: 5p/8

z7 = mod(t - 6*p/8, p); % Phase shift: 6p/8

z8 = mod(t - 7*p/8, p); % Phase shift: 7p/8

% % %Triangular membership functions

y1 = trimf(z1, [0, p/2, p]);

y2 = trimf(z2, [0, p/2, p]);

y3 = trimf(z3, [0, p/2, p]);

y4 = trimf(z4, [0, p/2, p]);

y5 = trimf(z5, [0, p/2, p]);

y6 = trimf(z6, [0, p/2, p]);

y7 = trimf(z7, [0, p/2, p]);

y8 = trimf(z8, [0, p/2, p]);

end

[Sam Chak]

Hi @Enes

If you find my mathematical formula helpful for creating the equilateral triangular waves, please consider clicking 'Accept' ✔ on the answer and voting 👍 for it. Your support is greatly appreciated!