plot symmetrical triangle wave from (0,0.25) amplitude of 1. from (0.25,0.375) amplitude of 0 from (0.375,0.625) amplitude of -1. from (0.625,1) amplitude of 0 in matlab

To plot a symmetrical triangle wave with different amplitudes in MATLAB, you can use the sawtooth function combined with some conditional statements and plotting commands. Here's how you can do it:

main.m
% Define the time axis
t = linspace(0, 1, 1000);

% Initialize the output signal
x = zeros(size(t));

% Set the amplitudes and time boundaries
amplitudes = [1, 0, -1, 0];
boundaries = [0, 0.25, 0.375, 0.625, 1];

% Generate the triangle wave
for i = 1:length(boundaries)-1
    idx = (t >= boundaries(i)) & (t < boundaries(i+1));
    x(idx) = amplitudes(i) + (t(idx) - boundaries(i)) / (boundaries(i+1) - boundaries(i)) * (amplitudes(i+1) - amplitudes(i));
end

% Plot the triangle wave
plot(t, x, 'b', 'LineWidth', 1.5);
grid on;
xlabel('Time');
ylabel('Amplitude');
title('Symmetrical Triangle Wave');
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In this code, we first define the time axis t using the linspace function. Then, we initialize the output signal x as an array of zeros with the same size as t.

Next, we specify the amplitudes and time boundaries for each segment of the triangle wave. For example, the first segment has an amplitude of 1 and spans from 0 to 0.25.

We then use a for loop to iterate over each segment and update the values of x within the corresponding time boundaries. The values of x are calculated using linear interpolation based on the specified amplitudes.

Finally, we use the plot function to visualize the generated triangle wave. The grid on command adds a grid to the plot, and the xlabel, ylabel, and title set the labels for the axes and title of the plot, respectively. The 'b' argument in the plot function specifies a blue color for the waveform, and 'LineWidth' sets the thickness of the line to 1.5.

When you run this code in MATLAB, you should see a plot of the symmetrical triangle wave with the desired amplitudes and time boundaries.