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BUILT-IN MATHEMATICA SYMBOL
EquirippleFilterKernel
EquirippleFilterKernel[{{{
L1, R1}, {L2, R2}, ...}, {a1, a2, ...}}, n]
creates a finite impulse response (FIR) filter kernel of length n with an equiripple amplitude response, given the specified left and right band edge frequencies 
and amplitudes 
.
EquirippleFilterKernel[{{{L1, R1}, {L2, R2}, ...}, {a1, a2, ...}, {w1, ...}}, n]
uses relative weights 
for each frequency band.
EquirippleFilterKernel[{"type", {{{L1, R1}, ...}, ...}, n]
creates a filter of the specified 
.
Details and Options
- EquirippleFilterKernel returns a numeric list of length n of the impulse response coefficients of an FIR filter that has the minimum Chebyshev (minimax) error.
- Possible filter specification types are:
-
"Multiband" multiple passband and stopband filter specification (default) "Differentiator" differentiator filter "Hilbert" Hilbert filter - Frequencies should be given in an ascending order such that
. - The lengths of the lists of frequency bands, amplitudes, and weights should be the same.
- Amplitude values should be non-negative. Typically, values
specify a stopband, and values 
specify a passband. - The kernel ker returned by EquirippleFilterKernel can be used in ListConvolve[ker, data] to apply the filter to data.
- The following options can be given:
-
"GridDensity" 8 frequency domain sampling density factor WorkingPrecision MachinePrecision precision to use in internal computations
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