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Aliaksei Sandryhaila, Amina Chebira, Markus Püschel and Jelena Kovacevic (Proc. SPIE Conf. on Wavelet Applications in Signal and Image Processing, Proceedings of SPIE, Vol. 7446, pp. 74460M-74460M-8, 2009)
A New Class of Seeded Real Lapped Tight Frame Transforms
Preprint (178 KB)
Bibtex

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.

Keywords:
Frames, Filter banks