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FrequencySamplingFilterKernel[{a1,…,ak}]
creates a finite impulse response (FIR) filter kernel using a frequency sampling method from amplitude values ai.
Details and Options Examplesopen allclose all Basic Examples (1)A symmetric odd-length FIR lowpass kernel:
Scope (7)A type 1 FIR kernel with even symmetry and odd length:
A type 2 FIR kernel with even symmetry and even length:
A type 3 FIR kernel with odd symmetry and odd length:
A type 4 FIR kernel with odd symmetry and even length:
A symmetric odd-length FIR highpass kernel:
A symmetric even-length FIR bandpass kernel:
A full-band differentiator FIR kernel:
Options (1) "Shifted" (1)By default, first frequency is sampled at 0:
With "Shifted"->True, first frequency is offset from 0 by :
Applications (2)Smooth data by convolving it with a lowpass filter kernel:
Apply a derivative filter to rows of an image:
Properties & Relations (1)Apply a window to an FIR filter to reduce ripple in its magnitude response:
Wolfram Research (2012), FrequencySamplingFilterKernel, Wolfram Language function, https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html. TextWolfram Research (2012), FrequencySamplingFilterKernel, Wolfram Language function, https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html.
CMSWolfram Language. 2012. "FrequencySamplingFilterKernel." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html.
APAWolfram Language. (2012). FrequencySamplingFilterKernel. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html
BibTeX@misc{reference.wolfram_2025_frequencysamplingfilterkernel, author="Wolfram Research", title="{FrequencySamplingFilterKernel}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_frequencysamplingfilterkernel, organization={Wolfram Research}, title={FrequencySamplingFilterKernel}, year={2012}, url={https://reference.wolfram.com/language/ref/FrequencySamplingFilterKernel.html}, note=[Accessed: 12-July-2025 ]}
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