create a function that performs mean filtering on 1-d timeseries data expressed as t and x, and accepts a % 3rd argument of window size (window size will be odd). use symmetric padding for the ends. in matlab

Here is an example of how you can create a function in MATLAB that performs mean filtering on 1D timeseries data using a specified window size:

main.m
function filteredData = meanFilter(data, windowSize)
    % Check if window size is odd
    if mod(windowSize, 2) == 0
        error('Window size must be odd.');
    end
    
    % Calculate the symmetric padding size
    paddingSize = (windowSize - 1) / 2;
    
    % Apply symmetric padding to the data
    paddedData = padarray(data, paddingSize, 'symmetric');
    
    % Initialize the filtered data array
    filteredData = zeros(size(data));
    
    % Perform mean filtering
    for i = 1:length(data)
        window = paddedData(i:i+windowSize-1);
        filteredData(i) = mean(window);
    end
end
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You can use this function by passing your timeseries data and the desired window size as input arguments. The function will return the filtered data.

Please note that the code assumes the input data is in the form of a 1-dimensional vector. If you have separate vectors for time and x, you may need to modify the code accordingly.

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