File Exchange

## HarmonicSeries.m

version 1.0.0.0 (6.91 KB) by Carlos Adrian Vargas Aguilera

### Carlos Adrian Vargas Aguilera (view profile)

Space-Time series (1D, 2D, or 3D) as the sum of cosines.

Updated 04 May 2016

Syntax:

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) ]

where:

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 (2020). HarmonicSeries.m (https://www.mathworks.com/matlabcentral/fileexchange/13420-harmonicseries-m), MATLAB Central File Exchange. Retrieved .

New version. More portable/easy-to-copy.

I agree "Thomas", I need to clean the code and the inputs arguments. Although, only one person had rated it and it was good. Every comments are well-received (no matter the initial stars) although there's no need to be rude. The program does exactly what I say above and in the help. Next time be contructive. Take a look later for the new submition.

Thomas Gall

It is an excessively complex wrapper for a one line statement. This has no purpose except to make your code unreadable and less portable.

Michael Morgan

Great, an all-in-one program! I just think the initial phase must be with minus sign and also w instead of k, but great anyway...