The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction

Akhil Singh, Will Pirkle

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

Abstract

In virtual analog synthesis of traditional waveforms, several approaches have been developed for smoothing the discontinuities in trivial waveforms to reduce or eliminate aliasing while attempting to preserve both the time and frequency domain responses of the original analog waveforms. The Bandlimited Step Method (BLEP) has been found to produce excellent results with low computational overhead. The correction scheme first starts with a sinc function -The impulse response of a low-pass filter -And uses it to generate offset values that are applied to the points around the discontinuity. This paper discusses the relationships that exist between the BLEP method, Gibbs Phenomenon and the Lanczos Sigma correction method.

Original languageEnglish (US)
Title of host publication141st Audio Engineering Society International Convention 2016, AES 2016
PublisherAudio Engineering Society
StatePublished - 2016
Event141st Audio Engineering Society International Convention 2016, AES 2016 - Los Angeles, United States
Duration: Sep 29 2016Oct 2 2016

Other

Other141st Audio Engineering Society International Convention 2016, AES 2016
CountryUnited States
CityLos Angeles
Period9/29/1610/2/16

Fingerprint

Gibbs phenomenon
Gibbs Phenomenon
Lanczos
Low pass filters
Impulse response
Waveform
waveforms
Discontinuity
discontinuity
Sinc Function
analogs
Analogue
low pass filters
Low-pass Filter
Aliasing
Impulse Response
smoothing
Frequency Domain
impulses
Smoothing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Modeling and Simulation
  • Acoustics and Ultrasonics

Cite this

Singh, A., & Pirkle, W. (2016). The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction. In 141st Audio Engineering Society International Convention 2016, AES 2016 Audio Engineering Society.

The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction. / Singh, Akhil; Pirkle, Will.

141st Audio Engineering Society International Convention 2016, AES 2016. Audio Engineering Society, 2016.

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

Singh, A & Pirkle, W 2016, The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction. in 141st Audio Engineering Society International Convention 2016, AES 2016. Audio Engineering Society, 141st Audio Engineering Society International Convention 2016, AES 2016, Los Angeles, United States, 9/29/16.
Singh A, Pirkle W. The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction. In 141st Audio Engineering Society International Convention 2016, AES 2016. Audio Engineering Society. 2016
Singh, Akhil ; Pirkle, Will. / The relationship between the bandlimited step method (BLEP), gibbs phenomenon, and lanczos sigma correction. 141st Audio Engineering Society International Convention 2016, AES 2016. Audio Engineering Society, 2016.
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