TY - JOUR
T1 - Life beyond bases
T2 - The advent of frames (Part II)
AU - Kovačević, Jelena
AU - Chebira, Amina
N1 - Funding Information:
We gratefully acknowledge comments from Riccardo Bernardini, Bernhard Bodmann, Helmut Bölcskei, Pete Casazza, Minh Do, Matt Fickus, Vivek Goyal, Chris Heil, Prakash Ishwar, Nick Kingsbury, Götz Pfander, Emina Sˇ oljanin, Thomas Strohmer and Martin Vetterli; their collective wisdom improved the original manuscript significantly. In particular, Chris Heil’s and Zoran Cvetković’s help was invaluable in making the paper mathematically tight and precise. We are also indebted to Vivek Goyal for providing us with Figure 6. This work was supported by NSF through award 0515152.
PY - 2007/9
Y1 - 2007/9
N2 - The use of frames are becoming a standard tool in the signal processing toolbox. Numerous known frame families are making difference in their applications, such frames implementable by filters bank (FB) are as follows: harmonic tight frames and equiangular that are purely finite dimensional, Grassmanian, Gabor and finally, cosine-modulated frames. Among the successful applications of frames are source coding that show resilience to additive noise as well as numerical stability of reconstruction, denoising, robust transmission, CDMA systems and multiple antenna code design. In addition, the frames were used for compression, segmentation, complex wavelet transform, textures decomposing, image interpolation and resolution enhancement, improving the classification accuracy of protein subcellular, signal reconstruction and others.
AB - The use of frames are becoming a standard tool in the signal processing toolbox. Numerous known frame families are making difference in their applications, such frames implementable by filters bank (FB) are as follows: harmonic tight frames and equiangular that are purely finite dimensional, Grassmanian, Gabor and finally, cosine-modulated frames. Among the successful applications of frames are source coding that show resilience to additive noise as well as numerical stability of reconstruction, denoising, robust transmission, CDMA systems and multiple antenna code design. In addition, the frames were used for compression, segmentation, complex wavelet transform, textures decomposing, image interpolation and resolution enhancement, improving the classification accuracy of protein subcellular, signal reconstruction and others.
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U2 - 10.1109/MSP.2007.904809
DO - 10.1109/MSP.2007.904809
M3 - Article
AN - SCOPUS:85032776149
SN - 1053-5888
VL - 24
SP - 115
EP - 125
JO - IEEE Signal Processing Magazine
JF - IEEE Signal Processing Magazine
IS - 5
ER -