Antiderivative antialiasing, Lagrange interpolation and spectral flatness

Stefan Bilbao, Fabian Esqueda, Vesa Valimaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Aliasing is major problem in any audio signal processing chain involving non linearity. The usual approach to antialiasing involves operation at an over sampled rate-usually 4 to 8 times an audio sample rate. Recently, a new approach to antialiasing in the case of memory less nonlinearities has been proposed, which relies on operations over the antiderivative of the nonlinear function, and which allows for antialiasing at audio or near-audio rates, and without regard to the particular form of the nonlinearity (i.e., polynomial, or hard clipping). Such techniques may be deduced through an application of Lagrange interpolation over unequally-spaced values, and, furthermore, may be constrained to behave as spectrally transparent “throughs” for nonlinearities which reduce to linear at low signal amplitudes. Numerical results are presented.
Original languageEnglish
Title of host publicationProceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages5
ISBN (Electronic)9781538616321
ISBN (Print)9781538616338
Publication statusE-pub ahead of print - 11 Dec 2017

Publication series

ISSN (Electronic)1947-1629


  • acoustic signal processing
  • interpolation
  • aliasing


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