How to reconstruct a tidal elevation time series from tidal constituents?

I know the amplitude and phase of 8 tidal constituents (M2 S2 N2 K2 K1 O1 P1 Q1) at a given point.

I want to construct the elevation timeseries from these. Does anybody have any advice on how to do this?

Thank you!

Answer 1

[Star Strider]

I am not certain what you want.

Try this:

t = linspace(1, 24, 96);                                % Time Vector
Amp = randi(9, 5, 1);                                   % Column Vector Of Amplitudes
Phs = rand(5, 1)*2*pi;                                  % Column Vector Of Phases

TPhs = bsxfun(@plus, 2*pi*t/24, Phs);
Out = Amp .* sin(TPhs);

figure
plot(t, Out)
grid

Note that in this code, all vectors are originally row vectors.