Generate triangle input with curve edge

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.

http://imageshack.us/photo/my-images/341/92145559.png/

[Walter Roberson]

It is best to show a sample of your desired output.

http://www.mathworks.com/matlabcentral/answers/7924-where-can-i-upload-images-and-files-for-use-on-matlab-answers

Answer 1

[Image Analyst]

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);

[K]

Thank you for your help. It is very usefull.

[Rey Kelvin Peralta]

Sir Image analyst, Can i also ask for help in smoothing out edges in matlab?

[Image Analyst]

Post your 1-D or 2-D data/image in a new question. I can't really visualize what you're asking - it's far, far too general to be answered.

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

[Rey Kelvin Peralta]

I already did sir thank you here is the link http://www.mathworks.com/matlabcentral/answers/231216-can-anybody-help-me-smoothen-out-the-edges-on-my-3d-plot

Answer 2

[Azzi Abdelmalek]

fs=1000;
ts=1/fs
te=ts/30;
t=-ts/2:te:ts/2
y=(ts/2-abs(t))*fs*4-1
close,plot(t,y)

[K]

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 3

[bym]

you can use the answer to this question http://www.mathworks.com/matlabcentral/answers/57604-help-with-plotting-triangular-wave 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;
      end
  end
   plot(t,x)