How do you make a triangular wave in Matlab?

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How do you make a triangular wave in Matlab?

x = sawtooth( t , xmax ) generates a modified triangle wave with the maximum location at each period controlled by xmax . Set xmax to 0.5 to generate a standard triangle wave.

How do you find the Fourier series of a signal in Matlab?

Compute the Fourier transform of the signal, and create the vector f that corresponds to the signal’s sampling in frequency space. y = fft(x); fs = 1/Ts; f = (0:length(y)-1)*fs/length(y);

How do you plot a triangle graph in Matlab?

Description

  1. triplot( T , x , y ) plots the 2-D triangulation defined by the points in vectors x and y and a triangle connectivity matrix T .
  2. triplot( T , x , y , LineSpec ) also specifies the line style of the triangulation.
  3. triplot(___, Name,Value ) specifies one or more properties of the plot using name-value pairs.
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What is Fourier series in Matlab?

The Fourier series is a sum of sine and cosine functions that describes a periodic signal. It is represented in either the trigonometric form or the exponential form.

How do you find the Fourier series?

To find the coefficients a0, an and bn we use these formulas:

  1. a0 = 12L. L. −L. f(x) dx.
  2. an = 1L. L. −L. f(x) cos(nxπL) dx.
  3. bn = 1L. L. −L. f(x) sin(nxπL) dx.

Can I use the symbolic toolbox for Fourier series?

You can always use the symbolic toolbox – I find it nicer for doing things such as computing Fourier Series. Example code below.

What is the correct way to include more than one Fourier?

So the correct way would be to loop k, and set a maximum number of Fourier coefficients to include, like so: You can compare what happens when you include more coefficients, by changing k_max: In Matlab, it is however generally faster to avoid using for loops, which can be done by vectorization.

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How do you plot an approximation of the infinite series?

This is a function of the number of terms n you want to include in your approximation of the infinite series and the also a number of the independent variable t. If you want to create a plot of the function, you must create the independent variable array and the dependent variable array.

How do I create a plot of a function in MATLAB?

If you want to create a plot of the function, you must create the independent variable array and the dependent variable array. This code does not use any function from the symbolic toolbox that may not be available depending on your version of MATLAB.