Sinewave parameter estimation using the fast fan-chirp transform
Sinewave analysis/synthesis has long been an important tool for audio analysis, modification and synthesis. The recently introduced fan-chirp Transform (FChT) [2,3] has been shown to improve the fidelity of sinewave parameter estimates for a harmonic audio signal with rapid frequency modulation. A f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2010
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| Online Access: | http://hdl.handle.net/1721.1/59315 |
| _version_ | 1811075608961089536 |
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| author | Dunn, Robert B. Quatieri, Thomas F. Malyska, Nicolas |
| author2 | Lincoln Laboratory |
| author_facet | Lincoln Laboratory Dunn, Robert B. Quatieri, Thomas F. Malyska, Nicolas |
| author_sort | Dunn, Robert B. |
| collection | MIT |
| description | Sinewave analysis/synthesis has long been an important tool for audio analysis, modification and synthesis. The recently introduced fan-chirp Transform (FChT) [2,3] has been shown to improve the fidelity of sinewave parameter estimates for a harmonic audio signal with rapid frequency modulation. A fast version of the FChT reduces computation but this algorithm presents two factors that affect sinewave parameter estimation. The phase of the fast FChT does not match the phase of the original continuous-time transform and this interferes with the estimation of sinewave phases. Also, the fast FChT requires an interpolation of the input signal and the choice of interpolator affects the speed of the transform and accuracy of the estimated sinewave parameters. In this paper we demonstrate how to modify the phase of the fast FChT such that it can be used to estimate sinewave phases, and we explore the use of various interpolators demonstrating the tradeoff between transform speed and sinewave parameter accuracy. |
| first_indexed | 2024-09-23T10:09:08Z |
| format | Article |
| id | mit-1721.1/59315 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:09:08Z |
| publishDate | 2010 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/593152022-09-30T19:13:24Z Sinewave parameter estimation using the fast fan-chirp transform Dunn, Robert B. Quatieri, Thomas F. Malyska, Nicolas Lincoln Laboratory Malyska, Nicolas Dunn, Robert B. Quatieri, Thomas F. Malyska, Nicolas fan-chirp transform sinewave analysis/synthesis sinewave phases Sinewave analysis/synthesis has long been an important tool for audio analysis, modification and synthesis. The recently introduced fan-chirp Transform (FChT) [2,3] has been shown to improve the fidelity of sinewave parameter estimates for a harmonic audio signal with rapid frequency modulation. A fast version of the FChT reduces computation but this algorithm presents two factors that affect sinewave parameter estimation. The phase of the fast FChT does not match the phase of the original continuous-time transform and this interferes with the estimation of sinewave phases. Also, the fast FChT requires an interpolation of the input signal and the choice of interpolator affects the speed of the transform and accuracy of the estimated sinewave parameters. In this paper we demonstrate how to modify the phase of the fast FChT such that it can be used to estimate sinewave phases, and we explore the use of various interpolators demonstrating the tradeoff between transform speed and sinewave parameter accuracy. United States. Dept. of Defense (Air Force Contract FA8721-05-C-0002) 2010-10-14T12:51:09Z 2010-10-14T12:51:09Z 2009-12 2009-10 Article http://purl.org/eprint/type/JournalArticle 978-1-4244-3678-1 1931-1168 INSPEC Accession Number: 11003030 http://hdl.handle.net/1721.1/59315 Dunn, Robert B., Thomas F. Quatieri, and Nicolas Malyska (2009). Sinewave paramenter estimation using the fast fan-chirp transform. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2009 (Piscataway, N.J.: IEEE): 349-352. © 2009 IEEE en_US http://dx.doi.org/10.1109/ASPAA.2009.5346528 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 2009 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE |
| spellingShingle | fan-chirp transform sinewave analysis/synthesis sinewave phases Dunn, Robert B. Quatieri, Thomas F. Malyska, Nicolas Sinewave parameter estimation using the fast fan-chirp transform |
| title | Sinewave parameter estimation using the fast fan-chirp transform |
| title_full | Sinewave parameter estimation using the fast fan-chirp transform |
| title_fullStr | Sinewave parameter estimation using the fast fan-chirp transform |
| title_full_unstemmed | Sinewave parameter estimation using the fast fan-chirp transform |
| title_short | Sinewave parameter estimation using the fast fan-chirp transform |
| title_sort | sinewave parameter estimation using the fast fan chirp transform |
| topic | fan-chirp transform sinewave analysis/synthesis sinewave phases |
| url | http://hdl.handle.net/1721.1/59315 |
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