A new class of seeded real lapped tight frame transforms

Aliaksei Sandryhaila; Amina Chebira; Markus Püschel; Jelena Kovačević

doi:10.1117/12.825154

4 September 2009 A new class of seeded real lapped tight frame transforms

Aliaksei Sandryhaila, Amina Chebira, Markus Püschel, Jelena Kovačević

Proceedings Volume 7446, Wavelets XIII; 74460M (2009) https://doi.org/10.1117/12.825154
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

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.

Citation Download Citation

Aliaksei Sandryhaila, Amina Chebira, Markus Püschel, and Jelena Kovačević "A new class of seeded real lapped tight frame transforms", Proc. SPIE 7446, Wavelets XIII, 74460M (4 September 2009); https://doi.org/10.1117/12.825154

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