create a function that performs median filtering on 1-d timeseries data expressed as t and x, and accepts a 3rd argument of window siz in matlab

You can create a MATLAB function to perform median filtering on 1-D timeseries data using the medfilt1 function. The function can accept three arguments: the time values t, the data values x, and the window size.

Here's an example function implementation:

main.m
function filtered_data = median_filtering(t, x, window_size)
    filtered_data = medfilt1(x, window_size);
end
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In this function, medfilt1 is used to apply median filtering to the x data with the specified window_size. The resulting filtered data is returned.

To use this function, you can call it with your time and data arrays, along with the desired window size:

main.m
t = [1, 2, 3, 4, 5];
x = [10, 15, 12, 18, 13];
window_size = 3;

filtered_data = median_filtering(t, x, window_size);
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The filtered_data variable will contain the result of median filtering the x data with a window size of 3.