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Generate triangle input with curve edge

Asked by K
on 7 Jan 2013

Hello, Does anyone have an idea, how can I generate triangle wave input with curve edge. That's mean the edge is not sharp but smooth.



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3 Answers

Answer by Image Analyst
on 7 Jan 2013
 Accepted answer

Here, try this demo that I've posted before. I added the last short section that uses conv() to smooth out the triangle wave just for you.

format longg;
format compact;
clc;	% Clear command window.
workspace;	% Make sure the workspace panel is showing.
fontSize = 15;
% Define some parameters that define the triangle wave.
elementsPerHalfPeriod = 30; % Number of elements in each rising or falling section.
amplitude = 5; % Peak-to-peak amplitude.
verticalOffset = -2; % Also acts as a phase shift.
numberOfPeriods = 4; % How many replicates of the triangle you want.
% Construct one cycle, up and down.
risingSignal = linspace(0, amplitude, elementsPerHalfPeriod);
fallingSignal = linspace(amplitude, 0, elementsPerHalfPeriod);
% Combine rising and falling sections into one single triangle.
oneCycle = [risingSignal, fallingSignal(2:end-1)] + verticalOffset;
x = 0 : length(oneCycle)-1;
% Now plot the triangle.
subplot(3, 1,  1);
plot(x, oneCycle, 'bo-');
grid on;
title('One Cycle of the Triangle', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
% Give a name to the title bar.
set(gcf,'name','Demo by ImageAnalyst','numbertitle','off') 
% Now replicate this cycle several (numberOfPeriods) times.
triangleWaveform = repmat(oneCycle, [1 numberOfPeriods]);
x = 0 : length(triangleWaveform)-1;
% Now plot the triangle wave.
subplot(3, 1,  2);
plot(x, triangleWaveform, 'bo-');
grid on;
title('Several Cycles of the Triangle', 'FontSize', fontSize);
% Now blur it to smooth it out:
windowWidth = 9;
smoothTriangleWave = conv(triangleWaveform, ones(1,windowWidth)/windowWidth, 'same');
subplot(3, 1,  3);
plot(x, smoothTriangleWave, 'bo-');
grid on;
title('Smoothed Triangle Wave', 'FontSize', fontSize);

  1 Comment

on 8 Jan 2013

Thank you for your help. It is very usefull.

Answer by Azzi Abdelmalek
on 7 Jan 2013

  1 Comment

on 7 Jan 2013

Thank you for your answer. However, what I am trying to do is a triangle with a curvy edge instead of sharp/pointy edge.

Answer by bym
on 8 Jan 2013

you can use the answer to this question and just use fewer terms for example:

clc;clear;close all
t = linspace(0,pi);
x = zeros(3,100);
c = 0;
terms = [1,3,5];
for m = terms
    c = c+1;
      n = (1:2:2*m-1);
      for k=n
          x(c,:) = x(c,:)+cos(k.*pi.*t)./k.^2;


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