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BUILT-IN MATHEMATICA SYMBOL
FrequencySamplingFilterKernel
FrequencySamplingFilterKernel[{a1, ..., ak}]
creates a finite impulse response (FIR) filter kernel using a frequency sampling method from amplitude values 
.
FrequencySamplingFilterKernel[{a1, ..., ak}, m]
creates an FIR filter kernel of type m.
Details and Options
- Possible types m for FIR filters created for a list
of amplitudes are: -
- FrequencySamplingFilterKernel[{a1, ...}] is equivalent to FrequencySamplingFilterKernel[{a1, ...}, 1].
- The frequency sampling method uniformly samples the frequency domain from 0 to
. - FrequencySamplingFilterKernel by default uses a sampling of the frequency domain at integer multiples of
, where 
is the length of the filter. With "Shifted"->True, the frequencies are shifted from 0 by 
. » - Amplitude values should be non-negative. Typically, values
specify a stopband, and values 
specify a passband. - The kernel ker returned by FrequencySamplingFilterKernel can be used in ListConvolve[ker, data] to apply the filter to data.
- FrequencySamplingFilterKernel takes a WorkingPrecision option that specifies the precision to use in internal computations. The default setting is WorkingPrecision->MachinePrecision.
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