Lapped tight frame transforms

Amina Chebira, Jelena Kovacevic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose a new class of equal-norm tight frames termed Lapped Tight Frame Transforms (LTFTs). These can be seen as a redundant counterpart to bases known as Lapped Orthogonal Transforms (LOTs) introduced by Malvar and Cassereau, as well as an infinite-dimensional counterpart to Harmonic Tight Frames (HTFs). To construct LTFTs, we seed them from LOTs and show that, in a specific case, the process preserves the equal norm. As both their basis counterpart LOTs as well as their finite-dimensional one HTFs, LTFTs possess many desirable properties, such as equal norm and efficient implementation.

Original languageEnglish (US)
Title of host publication2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07
Volume3
DOIs
StatePublished - Aug 6 2007
Event2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07 - Honolulu, HI, United States
Duration: Apr 15 2007Apr 20 2007

Other

Other2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07
CountryUnited States
CityHonolulu, HI
Period4/15/074/20/07

Fingerprint

Mathematical transformations
Seed

Keywords

  • Filter banks
  • Frames
  • Harmonic tight frames
  • Lapped orthogonal transforms
  • Wavelets

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Chebira, A., & Kovacevic, J. (2007). Lapped tight frame transforms. In 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07 (Vol. 3). [4217845] https://doi.org/10.1109/ICASSP.2007.366815

Lapped tight frame transforms. / Chebira, Amina; Kovacevic, Jelena.

2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07. Vol. 3 2007. 4217845.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Chebira, A & Kovacevic, J 2007, Lapped tight frame transforms. in 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07. vol. 3, 4217845, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07, Honolulu, HI, United States, 4/15/07. https://doi.org/10.1109/ICASSP.2007.366815
Chebira A, Kovacevic J. Lapped tight frame transforms. In 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07. Vol. 3. 2007. 4217845 https://doi.org/10.1109/ICASSP.2007.366815
Chebira, Amina ; Kovacevic, Jelena. / Lapped tight frame transforms. 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07. Vol. 3 2007.
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