I need to draw periodic triangle waveform with period (2*pi) that repeats between (-3*pi to 3*pi) with a maximum peak value (0) and minimum peak value equal to (-pi)…Any ideas??
I appreciate any help. Thanks
MATLAB: Help: Drawing periodic triangle waveform with period (2*pi) and peak between (0 and -pi).
periodicSignal Processing Toolboxtriangletriangle waveform
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Try this:
clc; % Clear the command window.
close all; % Close all figures (except those of imtool.)
workspace; % Make sure the workspace panel is showing.
format long g;format compact;fontSize = 20;t=0:0.01:3;omega = 2*pi;f = zeros(1, length(t));for n = 1 : 2 : 201 f = f + (4/pi) .* 1 ./ n * sin(n * omega * t);endplot(t, f, 'b*-', 'LineWidth', 2, 'MarkerSize', 10);grid on;xlabel('t', 'fontSize', fontSize);ylabel('f', 'fontSize', fontSize);title('Square Wave Approimation', 'fontSize', fontSize);% Set up figure properties:
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);% Get rid of tool bar and pulldown menus that are along top of figure.
set(gcf, 'Toolbar', 'none', 'Menu', 'none');% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')
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);
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