how to calculate the weighted moving average of a vector in matlab

To calculate the weighted moving average of a vector in MATLAB, you can use the conv function. Here's the algorithm:

1. Define the weights that you want to use for the moving average. These can be any set of coefficients that you choose, but they should sum to 1. A common choice is a Gaussian window.

2. Reverse the weights vector so that it aligns with the end of the signal.

3. Use the conv function to perform the moving average calculation. The result will be a new vector that is the same size as the original vector.

Here's an example code snippet that demonstrates how to do this:

main.m
% Define the weights for the moving average
weights = gausswin(5);

% Reverse the weights vector
weights = weights(end:-1:1);

% Use the conv function to perform the moving average
signal = [1 2 3 4 5];
filtered_signal = conv(signal, weights, 'same');
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In this example, we're using a 5-point Gaussian window for the moving average. We reverse the weights vector using the end:-1:1 syntax, and then we use the conv function to perform the convolution. We use the 'same' option to ensure that the output vector is the same size as the input vector.