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