### Abstract

An efficient algorithm is presented for computing the continuous wavelet transform and the wideband ambiguity function on a sample grid with uniform time spacing but arbitrary sampling in scale. The method is based on the chirp z-transform and requires the same order of computation as constant-bandwidth analysis techniques, such as the short-time Fourier transform and the narrowband ambiguity function. An alternative spline approximation method which is more efficient when the number of scale samples is large is also described.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Editors | Franklin T. Luk |

Publisher | Publ by Int Soc for Optical Engineering |

Pages | 202-206 |

Number of pages | 5 |

Volume | 1566 |

ISBN (Print) | 0819406945 |

State | Published - 1991 |

Event | Advanced Signal Processing Algorithms, Architectures, and Implementations II - San Diego, CA, USA Duration: Jul 24 1991 → Jul 26 1991 |

### Other

Other | Advanced Signal Processing Algorithms, Architectures, and Implementations II |
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City | San Diego, CA, USA |

Period | 7/24/91 → 7/26/91 |

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics

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## Cite this

Jones, D. L., & Baraniuk, R. G. (1991). Efficient computation of densely sampled wavelet transforms. In F. T. Luk (Ed.),

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 1566, pp. 202-206). Publ by Int Soc for Optical Engineering.