| H. Feichtinger and K. Grochenig, "Banach spaces related to square integrable group representations and their atomic decompositions I," J. Funct. Anal., vol. 86, pp. 307--340, 1989. 12 |
....alternative to the Gabor bases [10] 1 To be concrete, we will discuss only orthonormal bases for the Hilbert space L 2 (IR) in this paper. Note, however, that all results apply also to the more general frame case [2] and that many results can be extended to more general Banach spaces [3]. From this point on, we will also simply use the term basis to mean orthonormal basis. 2 All sums and integrals are assumed to go from Gamma1 to 1 unless otherwise stated. time frequency time frequency (a) b) Figure 1: Idealized tiling of the time frequency plane by (a) the elements n ....
H. Feichtinger and K. Grochenig, "Banach spaces related to square integrable group representations and their atomic decompositions I," J. Funct. Anal., vol. 86, pp. 307--340, 1989.
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H. Feichtinger and K. Grochenig, "Banach spaces related to square integrable group representations and their atomic decompositions I," J. Funct. Anal., vol. 86, pp. 307--340, 1989. 12
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