Coefficient Matrix for Savitzky-Golay Data Filtering
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Starting from a polynomial coefficient vector such as: [-3/35 12/35 17/35 12/35 -3/35] I would like to create a coefficient matrix of the form:
by iteration of this vector in order to perfrom the Savitzky-Golay signal smoothing. How is this possible without using a for ... loop?
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Jan
2016-11-14
编辑:Jan
2016-11-14
Why do you want to avoid a loop? Are you aware that this must be done by a loop, even if it is hidden inside a Matlab command? Why do you want to create a potentially huge matrix with such a low density of information? Note that you have 4 independent values only in your example. Do you want at least a sparse array?
The explicite creation of the matrix is such a waste of time, that a FOR loop will not matter at all. If you want to compute the matrix product also, you loose even more time, because the matrix consists almost only of zeros. Use filter instead.
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Image Analyst
2016-11-14
Why do you want this? Who cares what the coefficients are? Just use sgolayfilt() and be done with it.
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Image Analyst
2016-11-22
You can do the Savitzky-Golay filter yourself. It's essentially just a polynomial fit to a window that slides across the signal. So just have a for loop to have a window move across and use polyfit() to get the polynomial, then use polyval() to get the value at the center of the window.
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