Filter Bank Fusion frames

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.


Published in:
IEEE Transactions on Signal Processing, 59, 3, 953 - 963
Year:
2011
Publisher:
Institute of Electrical and Electronics Engineers
ISSN:
1053-587X
Keywords:
Laboratories:




 Record created 2010-12-10, last modified 2018-03-17

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