### Abstract

2-band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The filter design problem is formulated and solved (a) as a constrained L_{∞} optimization problem and (b) as a constrained L_{2} optimization problem which allows arbitrary compromises between an L_{2} and an L_{∞} approach with both of them as special cases. Additional flatness constraints can also be easily included. The L_{2} and the L_{∞} design are based on the Kuhn-Tucker (KT) conditions and the alternation theorem, respectively. Therefore, optimality of the solution is guaranteed. The method (a) is a simpler alternative to a known method. The method (b) solves a more general problem than the approaches known in the literature including all of them as special cases.

Original language | English (US) |
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Pages | 211-214 |

Number of pages | 4 |

State | Published - 1994 |

Event | Proceedings of the 1994 6th IEEE Digital Signal Processing Workshop - Yosemite, CA, USA Duration: Oct 2 1994 → Oct 5 1994 |

### Other

Other | Proceedings of the 1994 6th IEEE Digital Signal Processing Workshop |
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City | Yosemite, CA, USA |

Period | 10/2/94 → 10/5/94 |

### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering

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## Cite this

*Constrained FIR filter design for 2-band filter banks and orthonormal wavelets*. 211-214. Paper presented at Proceedings of the 1994 6th IEEE Digital Signal Processing Workshop, Yosemite, CA, USA, .