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MATLAB code to demonstrate [Fourier series][1] representation of periodic signals (as a sum of sinusoidal functions).

The animation shows an approximation of a square wave signal using the first 4-terms of its Fourier series. (Change the parameters near the top of the code to manipulate the animations and explore other variations).

![animation1][6] ![animation2][7]

This was inspired by the following similar animations:

• [Fourier Series Animation using Circles][2]

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Goal

Comparing performance of growing arrays in MATLAB with and without pre-allocation, in addition to expanding the size in batches.

Refer to [this Stack Overflow thread][1].

Tests

There are two version of the tests:

• one that adds columns to a matrix
• one that adds rows to a matrix

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XML configuration files for compiling MATLAB MEX-files using Intel Parallel Studio XE 2015. Tested on Windows 8.1 64-bit with MATLAB R2014b, Visual Studio 2013, and Intel Parallel Studio XE 2015.

Here is an example:

>>> mex -f intel_cpp_15_vs2013.xml -v -largeArrayDims test.cpp
>>> test()

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See Stack Overflow question: http://stackoverflow.com/q/26528999/97160