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How to Generate Smooth Transitional Trapezoidal Signal in Simulink

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Chuguang Pan
Chuguang Pan 2024-6-3
评论： Mathieu NOE 2024-6-5
Hi, everyone. I want to generate a custom signal demonstrated as follow image in Simulink, I have tried the Signal Editor Block, but the generated trapezoidal signal does not have smooth transition as showed in the attached image.
I would be appreciated that someone could give me some suggestions.
  2 个评论
Sam Chak
Sam Chak 2024-6-3
If you are looking for a one-line math equation for describing the smooth trapezoid, consider the Generalized Gaussian Distribution (GGD) other one-hump functions. However, it is probably easier to achieve that with the piecewise S-curve continuous function.

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Mathieu NOE
Mathieu NOE 2024-6-3
Ran in:
hello
whatever code you use to create the trapezoidal wave , you can simply then smooth it out, for example with smoothdata
the first part of the code is from : generating periodic trapezoidal waves with ramps - MATLAB Answers - MATLAB Central (mathworks.com)
a = 10; %Amplitude
m = 2; %Time Period
l = 5; %Horizontal Spread
c = 2; %Vertical Spread
x = 0:.01:10; %Sample Points
Trapezoidal_Wave = a/pi*(asin(sin((pi/m)*x+l))+acos(cos((pi/m)*x+l)))-a/2+c;
Trapezoidal_Wave_S = smoothdata(Trapezoidal_Wave,'gaussian',50);
plot(x,Trapezoidal_Wave,x,Trapezoidal_Wave_S);

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