How to Generate Smooth Transitional Trapezoidal Signal in Simulink

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.

[Sam Chak]

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.

[Chuguang Pan]

@Sam Chak Thanks for your suggestion, I will try it.

Answer 1

[Mathieu NOE]

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);

[Chuguang Pan]

@Mathieu NOE Thanks for your answer, it is helpful.

[Mathieu NOE]

my pleasure !!