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Proceedings Paper

A new class of seeded real lapped tight frame transforms
Author(s): Aliaksei Sandryhaila; Amina Chebira; Markus Püschel; Jelena Kovačević
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Paper Abstract

We propose a design procedure for the real, equal-norm, lapped tight frame transforms (LTFTs). These transforms have been recently proposed as both a redundant counterpart to lapped orthogonal transforms and an infinite-dimensional counterpart to harmonic tight frames. In addition, LTFTs can be efficiently implemented with filter banks. The procedure consists of two steps. First, we construct new lapped orthogonal transforms designed from submatrices of the DFT matrix. Then we specify the seeding procedure that yields real equal-norm LTFTs. Among them we identify the subclass of maximally robust to erasures LTFTs.

Paper Details

Date Published: 4 September 2009
PDF: 8 pages
Proc. SPIE 7446, Wavelets XIII, 74460M (4 September 2009); doi: 10.1117/12.825154
Show Author Affiliations
Aliaksei Sandryhaila, Carnegie Mellon Univ. (United States)
Amina Chebira, Ecole Polytechnique Fédérale de Lausanne (Switzerland)
Markus Püschel, Carnegie Mellon Univ. (United States)
Jelena Kovačević, Carnegie Mellon Univ. (United States)

Published in SPIE Proceedings Vol. 7446:
Wavelets XIII
Vivek K. Goyal; Manos Papadakis; Dimitri Van De Ville, Editor(s)

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