Irregular and multi-channel sampling of operators
Tài liệu tham khảo
Aldroubi, 2000, Beurling–Landau-type theorems for non-uniform sampling in shift invariant spline spaces, J. Fourier Anal. Appl., 6, 93, 10.1007/BF02510120
Bello, 1969, Measurement of random time-variant linear channels, IEEE Trans. Commun., 15, 469
Benedetto, 1997, Harmonic Analysis and Applications
Brown, 1981, Multi-channel sampling of low-pass signals, IEEE Trans. Circuits Syst., 28, 101, 10.1109/TCS.1981.1084954
Christensen, 2003
Cordero, 2003, Time–frequency analysis of localization operators, J. Funct. Anal., 205, 107, 10.1016/S0022-1236(03)00166-6
Feichtinger, 1998, A Banach space of test functions for Gabor analysis, 123
Folland, 1989, Harmonic Analysis in Phase Space
Gröchenig, 2001, Foundations of Time–Frequency Analysis, 10.1007/978-1-4612-0003-1
Higgins, 1996
Higgins, 2000
Hong, 2007, Sampling theory in abstract reproducing kernel Hilbert space, Sampl. Theory Signal Image Process., 6, 109, 10.1007/BF03549466
Kadec′, 1964, The exact value of the Paley–Wiener constant, Dokl. Akad. Nauk SSSR, 155, 1253
Kailath, 1962, Measurements of time-variant communication channels, IEEE Trans. Inform. Theory, 8, 229, 10.1109/TIT.1962.1057748
Okoudjou, 2009, A Beurling–Helson type theorem for modulation spaces, J. Funct. Spaces Appl., 7, 33, 10.1155/2009/956891
Kim, 2008, Sampling expansion in shift invariant spaces, Int. J. Wavelets Multiresolut. Inf. Process., 6, 223, 10.1142/S021969130800232X
Kohn, 1965, An algebra of pseudo-differential operators, Comm. Pure Appl. Math., 18, 269, 10.1002/cpa.3160180121
Kovačević, 2007, Life beyond bases: The advent of frames (Parts I and II), IEEE Signal Proc. Mag., 24, 115, 10.1109/MSP.2007.904809
Kozek, 2005, Identification of operators with bandlimited symbols, SIAM J. Math. Anal., 37, 867, 10.1137/S0036141003433437
Kramer, 1959, A generalized sampling theorem, J. Math. Phys., 38, 68, 10.1002/sapm195938168
Linden, 1959, A discussion of sampling theorems, Proc. IRE, 47, 1219, 10.1109/JRPROC.1959.287354
Linden, 1960, A generalization of the sampling theorem, Inf. Control, 3, 26, 10.1016/S0019-9958(60)90242-4
Marvasti, 2001, 10.1007/978-1-4615-1229-5
Mehta, 1978, A general sampling expansion, Inform. Sci., 16, 41, 10.1016/0020-0255(78)90009-9
Papoulis, 1968
Papoulis, 1977, Generalized sampling expansion, IEEE Trans. Circuits Syst., CAS-24, 652, 10.1109/TCS.1977.1084284
Pfander, 2006, Operator identification and Feichtinger's algebra, Sampl. Theory Signal Image Process., 5, 183, 10.1007/BF03549450
Pfander, 2006, Measurement of time-variant linear channels, IEEE Trans. Inform. Theory, 52, 4808, 10.1109/TIT.2006.883553
Pfander, 2007, On the sampling of functions and operators with an application to multiple-input multiple-output channel identification, vol. 6701
G.E. Pfander, Sampling of operators, preprint, 2009
Pfander, 2008, Measurement of time-varying multiple-input multiple-output channels, Appl. Comput. Harmon. Anal., 24, 393, 10.1016/j.acha.2007.09.006
Seip, 1995, On the connection between exponential bases and certain related sequences in L2(−π,π), J. Funct. Anal., 130, 131, 10.1006/jfan.1995.1066
Toft, 2007, Continuity and Schatten properties for pseudo-differential operators on modulation spaces, vol. 172, 173
Yen, 1956, On nonuniform sampling of bandwidth-limited signals, IRE Trans. Circuit Theory, 3, 251, 10.1109/TCT.1956.1086325
Zayed, 1992, Kramer's sampling theorem for multidimensional signals and its relationship with Lagrange-type interpolations, Multidimens. Syst. Signal Process., 3, 323, 10.1007/BF01940228