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Compute the attenuation of a Kaiser FIR filter.
Given the number of taps `N` and the transition width `width`, compute the
attenuation `a` in dB, given by Kaiser's formula:
a = 2.285 * (N - 1) * pi * width + 7.95
Parameters
----------
numtaps : int
The number of taps in the FIR filter.
width : float
The desired width of the transition region between passband and
stopband (or, in general, at any discontinuity) for the filter,
expressed as a fraction of the Nyquist frequency.
Returns
-------
a : float
The attenuation of the ripple, in dB.
See Also
--------
kaiserord, kaiser_beta
Examples
--------
Suppose we want to design a FIR filter using the Kaiser window method
that will have 211 taps and a transition width of 9 Hz for a signal that
is sampled at 480 Hz. Expressed as a fraction of the Nyquist frequency,
the width is 9/(0.5*480) = 0.0375. The approximate attenuation (in dB)
is computed as follows:
>>> from scipy.signal import kaiser_atten
>>> kaiser_atten(211, 0.0375)
64.48099630593983
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