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How to sum a series of functions generated from data

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I have some 2D XRD data in array form(details don't matter).
Essentially I have a list of peak intensities, and miller indices h,k
I wish to plot the paterson function which in this case is
Where u and v are coordinates on the unit mesh.
Converting u,v to x,y and plotting them is straightforward. But I can't seem to get a handle on how to do the summation.
My initial attempt was to define a Paterson function for each individual reflection in my dataset, and then sum them together.
However it seems Matlab isn't happy having u and v defined in the way I have done.
clear all
%define unit mesh
a = 20.46;
b = 9.99;
gamma = 34.12;
%create array
x = [-2*a:1:2*a];
y = [-2*a:1:2*a];
%define u and v
u = x - y*cot(gamma*pi/180);
v = y*csc(gamma*pi/180);
%import data and create Paterson for each reflection
data = csvread('mydata.csv');
for N =1 : size(data,1);
peakn = data(N,1);
F = data(N,2);
h = data(N,3);
k = data(N,4);
Paterson(N,u,v) = F^2*cos(2*pi*(h*u+k*v));
end

Respuesta aceptada

Mark Sherstan
Mark Sherstan el 25 de Abr. de 2019
The variable Paterson requires intergers as indices not doubles hence the error. Consider changing that last section as follows:
%import data and create Paterson for each reflection
data = csvread('mydata.csv');
for N =1 : size(data,1);
peakn = data(N,1);
F = data(N,2);
h = data(N,3);
k = data(N,4);
Paterson(N,:) = [u v F^2*cos(2*pi*(h*u+k*v))];
end

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