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version (6.91 KB) by Carlos Adrian Vargas Aguilera
Space-Time series (1D, 2D, or 3D) as the sum of cosines.


Updated 04 May 2016

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Z = harmonicseries(AMP, PER, PHA, LEN, DIR, T, X, Y);
Performs the sum of harmonics:

z(t,y,x) = sum [ a*cos(k*x + l*y - w*t + theta) ]


a = AMP (amplitude)

k = K*cos(rdir) (x-component of wavenumber vector)

l = K*sin(rdir) (y-component of wavenumber vector)

K = sqrt(k^2+l^2) = (2*pi)./LEN (magnitude of wavenumber vector)

rdir = DIR*(pi/180) (direction of wavenumber vector in radians)

w = (2*pi)./PER (Temporal angular frequency)

theta = PHA*(pi/180) (Initial phase in radians)

This is useful when performing tests of Fourier Spectral Analysis, for example.

The program comes with the example on the screenshot.

Cite As

Carlos Adrian Vargas Aguilera (2022). HarmonicSeries.m (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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