Document Type

Article

Publication Date

1-2011

Abstract

In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion frames can provide redundant encodings of signals which are optimally robust against certain types of noise and erasures. However, up to this point, few implementable constructions of such frames were known; we show how to construct them using oversampled filter banks. In this work, we first provide polyphase domain characterizations of filter bank fusion frames. We then use these characterizations to construct filter bank fusion frame versions of discrete wavelet and Gabor transforms, emphasizing those specific finite impulse response filters whose frequency responses are well-behaved.

Comments

Sourced from the e-print at arXiv:1005.2949v1 [cs.IT]
https://arxiv.org/abs/1005.2949

Date of arXiv submission: 17 May 2010.

The publisher's digital version of record for this article is at IEEEXplore:
https://doi.org/10.1109/TSP.2010.2097255

'Publication Date' refers to the publisher version.


DOI

10.1109/TSP.2010.2097255

Source Publication

IEEE Transactions on Signal Processing

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