Sliding with a constant Q

Russell Bradford, John ffitch, Richard Dobson

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

4 Citations (Scopus)
44 Downloads (Pure)

Abstract

The linear frequency (constant-bandwidth) scale of the FFT has long been recognised as a disadvantage for audio processing. Long analysis windows are required for adequate low-frequency resolution, while small windows offer lower latency, better handling of transients, and reduced computation cost. A constant-$Q$ form of analysis offers the possibility of increased low-frequency resolution for a given window size, this resolution being essential for many fundamental processing tasks such as pitch shifting. We consider the application of the Sliding Discrete Fourier Transform to a Constant-$Q$ analysis. The increased flexibility of sliding allows for a variety of data alignments, and we produce the mathematical formulation of these. Windowing in the frequency domain introduces further complications. Finally we consider the implementation of the analysis on both serial and parallel computers.
Original languageEnglish
Title of host publication11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland
Place of PublicationEspoo, Finland
PublisherDAFx
Pages363-369
Number of pages7
ISBN (Print)9789512295173
Publication statusPublished - Sep 2008
EventProc. of the Int. Conf. on Digital Audio Effects (DAFx-08) -
Duration: 1 Sep 2008 → …

Conference

ConferenceProc. of the Int. Conf. on Digital Audio Effects (DAFx-08)
Period1/09/08 → …

Fingerprint

Processing
Discrete Fourier transforms
Fast Fourier transforms
Bandwidth
Costs

Cite this

Bradford, R., ffitch, J., & Dobson, R. (2008). Sliding with a constant Q. In 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland (pp. 363-369). Espoo, Finland: DAFx.

Sliding with a constant Q. / Bradford, Russell; ffitch, John; Dobson, Richard.

11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland . Espoo, Finland : DAFx, 2008. p. 363-369.

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

Bradford, R, ffitch, J & Dobson, R 2008, Sliding with a constant Q. in 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland . DAFx, Espoo, Finland, pp. 363-369, Proc. of the Int. Conf. on Digital Audio Effects (DAFx-08), 1/09/08.
Bradford R, ffitch J, Dobson R. Sliding with a constant Q. In 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland . Espoo, Finland: DAFx. 2008. p. 363-369
Bradford, Russell ; ffitch, John ; Dobson, Richard. / Sliding with a constant Q. 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland . Espoo, Finland : DAFx, 2008. pp. 363-369
@inproceedings{afd93f32df3f4d86a2391aa6af726ce6,
title = "Sliding with a constant Q",
abstract = "The linear frequency (constant-bandwidth) scale of the FFT has long been recognised as a disadvantage for audio processing. Long analysis windows are required for adequate low-frequency resolution, while small windows offer lower latency, better handling of transients, and reduced computation cost. A constant-$Q$ form of analysis offers the possibility of increased low-frequency resolution for a given window size, this resolution being essential for many fundamental processing tasks such as pitch shifting. We consider the application of the Sliding Discrete Fourier Transform to a Constant-$Q$ analysis. The increased flexibility of sliding allows for a variety of data alignments, and we produce the mathematical formulation of these. Windowing in the frequency domain introduces further complications. Finally we consider the implementation of the analysis on both serial and parallel computers.",
author = "Russell Bradford and John ffitch and Richard Dobson",
year = "2008",
month = "9",
language = "English",
isbn = "9789512295173",
pages = "363--369",
booktitle = "11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland",
publisher = "DAFx",

}

TY - GEN

T1 - Sliding with a constant Q

AU - Bradford, Russell

AU - ffitch, John

AU - Dobson, Richard

PY - 2008/9

Y1 - 2008/9

N2 - The linear frequency (constant-bandwidth) scale of the FFT has long been recognised as a disadvantage for audio processing. Long analysis windows are required for adequate low-frequency resolution, while small windows offer lower latency, better handling of transients, and reduced computation cost. A constant-$Q$ form of analysis offers the possibility of increased low-frequency resolution for a given window size, this resolution being essential for many fundamental processing tasks such as pitch shifting. We consider the application of the Sliding Discrete Fourier Transform to a Constant-$Q$ analysis. The increased flexibility of sliding allows for a variety of data alignments, and we produce the mathematical formulation of these. Windowing in the frequency domain introduces further complications. Finally we consider the implementation of the analysis on both serial and parallel computers.

AB - The linear frequency (constant-bandwidth) scale of the FFT has long been recognised as a disadvantage for audio processing. Long analysis windows are required for adequate low-frequency resolution, while small windows offer lower latency, better handling of transients, and reduced computation cost. A constant-$Q$ form of analysis offers the possibility of increased low-frequency resolution for a given window size, this resolution being essential for many fundamental processing tasks such as pitch shifting. We consider the application of the Sliding Discrete Fourier Transform to a Constant-$Q$ analysis. The increased flexibility of sliding allows for a variety of data alignments, and we produce the mathematical formulation of these. Windowing in the frequency domain introduces further complications. Finally we consider the implementation of the analysis on both serial and parallel computers.

UR - http://www.scopus.com/inward/record.url?scp=84865104611&partnerID=8YFLogxK

UR - http://www.dafx.de/

M3 - Conference contribution

SN - 9789512295173

SP - 363

EP - 369

BT - 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland

PB - DAFx

CY - Espoo, Finland

ER -