How to create a moving average filter to a specific signal

And I apply [1/3 1/3 1/3] as a window function to my data, after the fourier transform of the result, I find there is a 'zeros' in my plot, what does that mean?

Chunru 2021-11-28

See above for removing delay using filtfilt (doc it for more details).

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Answer 2

Image Analyst 2021-11-28

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1597489-how-to-create-a-moving-average-filter-to-a-specific-signal#answer_841939

Look at the movmean() function.

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Yian Chen 2021-11-28

编辑：Yian Chen 2021-11-28

Thanks! I apply [1/3 1/3 1/3] as a window function to my data, after the fourier transform of the result, I find there is a 'zeros' in my plot, what does that mean? The plot is above.

Image Analyst 2021-11-28

@Yian Chen I don't see any zeros, and you might want to use more than 3 elements:

y = readmatrix('2013.txt')
plot(y, 'b.-', 'LineWidth', 2, 'MarkerSize', 20);
grid on;
xlabel('Index', 'FontSize',fontSize)
% Filter it
windowWidth = 9
smoothy = movmean(y, windowWidth);
hold on;
plot(smoothy, 'r.-', 'LineWidth', 2, 'MarkerSize', 20);
legend('Original', 'Smoothed')

You could also try sgolayfilt() to smooth it. You can choose an order like 2 or 3 to follow the original data better than movmean() which uses a linear fit. An order of 2 or 3 will fit a quadratic or cubic to the data in each window position.

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