The Relationship between the Bandlimited Step Method (BLEP), Gibbs Phenomenon, and Lanczos Sigma Correction

Singh A, Pirkle W. The Relationship between the Bandlimited Step Method (BLEP), Gibbs Phenomenon, and Lanczos Sigma Correction. In: AES Convention 141. Audio Engineering Society; 2016. Paper 9670. Available from: https://aes.org/publications/elibrary-page/?id=18474

@inproceedings{Singh2016_18474,
  author = {Singh, Akhil and Pirkle, Will},
  title = {{The Relationship between the Bandlimited Step Method (BLEP), Gibbs Phenomenon, and Lanczos Sigma Correction}},
  booktitle = {AES Convention 141},
  note = {Paper 9670},
  year = {2016},
  month = sep,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=18474}
}

TY  - CPAPER
TI  - The Relationship between the Bandlimited Step Method (BLEP), Gibbs Phenomenon, and Lanczos Sigma Correction
AU  - Singh, Akhil
AU  - Pirkle, Will
T2  - AES Convention 141
M1  - Paper 9670
PY  - 2016
DA  - 2016/09/06
UR  - https://aes.org/publications/elibrary-page/?id=18474
PB  - Audio Engineering Society
LA  - en
AB  - 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.
ER  -