[music-dsp] Gaussian FIR filter
tonelli at anwida.com
Thu Sep 2 04:49:36 EDT 2004
Is there any expression to calculate the variance 'alfa' of a Gaussian
filter, given a desired 3dB frequency cut off?
I am considering a filter with an impulse response of the kind:
or in discrete form
where Fs is the sampling frequency
Low pass Gaussian shape filters are very common in image processing. Usually
the smoothing factor is controlled by the variance parameter (where the
variance controls, as usual, the bell amplitude).
Actually I wanted to use a Gaussian filter for 1-D signal processing. In
this case, it would be much more comfortable to control the filter
characteristic by its -3dB cut-off as it is usually done for many other
There is also a Matlab implementation of Gaussian filters (FIRGAUSS) but
also there, the cut-off is controlled by the variance.
Any help will be appreciated.
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