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POWhat is wrong in this Discrete Integration with Galois Fields in Matlab
 

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  1. POWhat is wrong in this Discrete Integration with Galois Fields in Matlab
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    <p>I want to implement Discrete Integration with Galois Fields in Matlab where the time step is not constant. Assume that it is this:</p> <p><img src="https://i.stack.imgur.com/5qfbU.png" alt="enter image description here"></p> <h2>My attempt</h2> <pre><code>function [ int ] = integrate_matlab( YDataVector, a, b ) %integrate_matlab Calculate the discrete integral % Discrete Matlab Integration % int_1^N x(t_k) * (b-a)/N, where t_k = a + (b-a) k/N % % YDataVector - Galois vector (255 x 1 gf), this is signal, % which values you can reach by YDataVector.x % % int - returns Galois vector (255 x 1 gf) N = length(YDataVector); for k=1:N tk = a + (b - a) * k/N; int = xtk(YDataVector, k) * (b - a) / N; % How to implement the function xtk(YDataVector)? end </code></pre> <p>and then the function xtk</p> <pre><code>function [ xtk_result ] = xtk( YDataVector, k ) %xkt Summary of this function goes here % YDataVector - Galois vector (255 x 1 gf), this is signal % xtk_result - Galois vector (255 x 1 gf) % k - index, this must be here to be able calculate different xtk for different iterations xtk_result = ; // I do not know what to fill here end </code></pre> <p>I am confused by the mathematical series equation <strong>x(tk)</strong> for <strong>tk</strong>. I know that I am doing now this wrong. The writing <strong>x(tk)</strong> just confuses me, since I think it as a function that takes in the series. I know that it is a signal at some time point, here the <strong>YDataVector</strong>, but how to implement it I have forgotten. I should probably iterate the series first:</p> <pre><code>t_0 = a; t_1 = a + (b - a) * 1/N; </code></pre> <p>This does not seem to help, since <strong>tk</strong> is not defined iteratively.</p> <p><strong>What am I thinking wrong when implementing the series x(tk)?</strong></p>
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