Name
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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TSP.2010.2097255 | IEEE Transactions on Signal Processing |
Keywords | DocType | Volume |
filter bank fusion frames,implementable construction,filter bank fusion frame,orthogonal projection operator,oversampled filter bank,polyphase domain characterization,frequency response,discrete wavelet,certain type,fusion frame,novel oversampled filter bank,finite impulse response filter,fir filters,artificial intelligent,fusion,encoding,polyphase,frames,robustness,noise,discrete fourier transform,artificial intelligence,filter bank,discrete wavelet transform,finite impulse response,gabor transform | Journal | 59 |
Issue | ISSN | Citations |
3 | 1053-587X | 4 |
PageRank | References | Authors |
0.46 | 16 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Chebira | 1 | 179 | 14.16 |
| M. Fickus | 2 | 5 | 0.80 |
| D.G. Mixon | 3 | 4 | 0.46 |