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2010

Systematic construction of real lapped tight frame transforms

11 years 1 days ago
Systematic construction of real lapped tight frame transforms
Abstract--We present a constructive algorithm for the design of real lapped equal-norm tight frame transforms. These transforms can be efficiently implemented through filter banks and have recently been proposed as a redundant counterpart to lapped orthogonal transforms, as well as an infinite-dimensional counterpart to harmonic tight frames. The proposed construction consists of two parts: First, we design a large class of new real lapped orthogonal transforms derived from submatrices of the discrete Fourier transform. Then, we seed these to obtain real lapped tight frame transforms corresponding to tight, equal-norm frames. We identify those frames that are maximally robust to erasures, and show that our construction leads to a large class of new lapped orthogonal transforms as well as new lapped tight frame transforms.
Aliaksei Sandryhaila, Amina Chebira, Christina Mil
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TSP
Authors Aliaksei Sandryhaila, Amina Chebira, Christina Milo, Jelena Kovacevic, Markus Püschel
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