### Abstract

Original language | English |
---|---|

Title of host publication | 11th International Conference on Digital Audio Effects (DAFx-08) Proceedings September 1-4th, 2008 Espoo, Finland |

Place of Publication | Espoo, Finland |

Publisher | DAFx |

Pages | 363-369 |

Number of pages | 7 |

ISBN (Print) | 9789512295173 |

Publication status | Published - Sep 2008 |

Event | Proc. of the Int. Conf. on Digital Audio Effects (DAFx-08) - Duration: 1 Sep 2008 → … |

### Conference

Conference | Proc. of the Int. Conf. on Digital Audio Effects (DAFx-08) |
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Period | 1/09/08 → … |

### Fingerprint

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

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 -