### Abstract

The discrete wavelet transform (DWT) is usually carried out by filter bank iteration, however, for a fixed number of zero moments, this does not yield a discrete-time basis that is optimal with respect to time-localization. This paper discusses the implementation and properties of an orthogonal DWT, with two zero moments and with improved time-localization. The basis, is not based on filter bank iteration, instead different filters are used for each scale. For coarse scales, the support of the discrete-time basis functions approaches 2/3 that of the corresponding functions obtained by filter bank iteration. This slantlet basis is piecewise linear and retains the octave-band characteristic. Closed form expressions for the filters are given and improvement in a denoising example is shown. This bases, being piecewise linear, is reminiscent of the slant transform, to which it is compared.

Original language | English (US) |
---|---|

Pages | 53-56 |

Number of pages | 4 |

State | Published - 1998 |

Event | Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA Duration: Oct 6 1998 → Oct 9 1998 |

### Other

Other | Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis |
---|---|

City | Pittsburgh, PA, USA |

Period | 10/6/98 → 10/9/98 |

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of 'Slantlet transform'. Together they form a unique fingerprint.

## Cite this

*Slantlet transform*. 53-56. Paper presented at Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, USA, .