In Matlab, we can smooth a signal using a moving average filter. The moving average filter is a simple low-pass filter that replaces each point in the signal with the average of n neighboring points.
To apply a 3-point smoothing filter to a signal x, we can use the filter function with the coefficients b=[1/3, 1/3, 1/3] and a=1:
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The filter function applies a digital filter to the signal x. Here, the filter coefficients b and a define the transfer function of the filter. Since a=1, we are using a non-recursive (or FIR) filter. The resulting smoothed_x is the output of the filter.
Alternatively, we can use the smoothdata function to apply a moving average filter to the signal:
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The second argument to smoothdata specifies that we want to use a moving average filter ('movmean') with a window of size 3. The resulting smoothed_x is the output of the filter.
Both approaches should yield similar results.
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