EquirippleFilterKernel

EquirippleFilterKernel[{{{ωL1,ωR1},{ωL2,ωR2},},{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[{{{ωL1,ωR1},{ωL2,ωR2},},{a1,a2,},{w1,}},n]
uses relative weights for each frequency band.

EquirippleFilterKernel[{"type",{{{ωL1,ωR1},},},n]
creates a filter of the specified .

Details and OptionsDetails 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"8frequency domain sampling density factor
    WorkingPrecisionMachinePrecisionprecision to use in internal computations
Introduced in 2012
(9.0)