Generalized almost-cyclostationary signals

Advances in Imaging and Electron Physics

Volumn 135, Issue , 2005, Pages 103-223

  Izzo, Luciano ^a   Napolitano, Antonio ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE FILTERING; PARAMETER ESTIMATION; RANDOM PROCESSES; SIGNAL DETECTION; SIGNAL PROCESSING;

ALMOST-CYCLOSTATIONARY SIGNALS (ACS); BLIND-ADAPTIVE SPATIAL FILTERING; NONSTOCHASTIC FRAMEWORK;

ATOMIC PHYSICS;

EID: 25144445464     PISSN: 10765670     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1076-5670(04)35003-2     Document Type: Review

References (84)

1. Bass J. Cours de Mathématiques 1971 Masson and Cie Paris Tome III.
2. Bello P.A. Characterization of randomly time-variant channels IEEE Trans. Commun. Syst. CS-11 1963 360 393
3. Besicovitch A.S. Almost Periodic Functions 1932 Cambridge University Press London, 1932 1954 Dover Publications Inc. New York
4. Blanco M.A., and Hill F.S. Jr. On time warping and the random delay channel IEEE Trans. Inform. Theory IT-25 1979 155 166
5. Bohr H. Almost Periodic Functions 1933 Springer Berlin, 1933 1947 Chelsea Publishing New York
6. Boyles R.A., and Gardner W.A. Cycloergodic properties of discrete parameter nonstationary stochastic processes IEEE Trans. Inform. Theory IT-29 1983 105 114
7. Brown W.M. Time statistics of noise IRE Trans. Inform. Theory, 1958 137 144
8. Brown W.A. On the Theory of Cyclostationary Signals Ph. D. dissertation. 1987 University of California. Dept. Elect. Eng. Comput. Sci. Davis
9. Choquet-Bruhat Y., and DeWitt-Morette C. Analysis, Manifolds and Physics 1982 North-Holland Publishing Amsterdam
10. Claasen T.A.C.M., and Mecklenbräuker W.F.G. On stationary linear time-varying systems IEEE Trans. Circuits Syst. CAS-29 1982 169 184
11. Cohen L. Time-Frequency Analysis 1995 Prentice Hall Englewood Cliffs, NJ
12. Corduneanu C. Almost Periodic Functions 1989 Chelsea Publishing New York
13. Dandawaté A.V., and Giannakis G.B. Nonparametric polyspectral estimators for kth-order (almost) cyclostationary processes IEEE Trans. Inform. Theory 40 1994 67 84
14. Dandawaté A.V., and Giannakis G.B. Asymptotic theory of mixed time-averages and kth-order cyclic moment and cumulant statistics IEEE Trans. Inform. Theory 41 1995 216 232
15. Dehay D., and Hurd H.L. Representation and estimation for periodically and almost periodically correlated random processes W.A. Gardner Cyclostationarity in Communications and Signal Processing 1994 IEEE Press New York 295 326
16. Dehay D., and Hurd H.L. Empirical determination of the frequencies of an almost periodic sequence Proc. of Eighth IEEE Signal Processing Workshop on Statistical Signal and Array Processing 1996 Corfu Greece
17. Duverdier A., and Lacaze B. Scrambling and error corrections by means of linear time-varying filters Proc. of Eighth Euro. Signal Process. Conf. (EUSIPCO) 1996 Trieste Italy
18. Duverdier A., Lacaze B., and Roviras D. Introduction of linear cyclostationary filters to model time-variant channels Proc. of Global Telecommunications Conference (GLOBECOM) 1999
19. Flagiello F., Izzo L., and Napolitano A. A computationally efficient and interference tolerant nonparametric algorithm for LTI system identification based on higher-order cyclic statistics IEEE Trans. Signal Processing 48 2000 1040 1052
20. Franaszek P.A. On linear systems which preserve wide sense stationarity SIAM J. Appl. Math. 15 1967 1481 1484
21. Franaszek P.A., and Liu B. On a class of linear time-varying filters IEEE Trans. Inform. Theory IT-13 1967 477 481
22. Franks L.E. Signal Theory 1969 Prentice-Hall Englewood Cliffs, NJ
23. Furstenberg H. Stationary Processes and Prediction Theory 1960 Princeton University Press Princeton, NJ
24. Gardner W.A. Introduction to Random Processes with Applications to Signals and Systems ed. 2 1990 Macmillan New York
25. Gardner W.A. Statistical Spectral Analysis: A Nonprobabilistic Theory 1988 Prentice Hall Englewood Cliffs, NJ
26. Gardner W.A. Signal interception: A unifying theoretical framework for feature detection IEEE Trans. Commun. COM-36 1988 897 906
27. Gardner W.A. Two alternative philosophies for estimation of the parameters of time-series IEEE Trans. Inform. Theory 37 1991 216 218
28. Gardner W.A. Cyclic Wiener filtering: Theory and method IEEE Trans. Commun. 41 1993 151 163
29. Gardner W.A. An introduction to cyclostationary signals W.A. Gardner Cyclostationarity in Communications and Signal Processing 1994 IEEE Press New York 1 90
30. Gardner W.A., and Brown W.A. Fraction-of-time probability for time series that exhibit cyclostationarity Signal Processing 23 1991 273 292
31. Gardner W.A., and Spooner C.M. The cumulant theory of cyclostationary time-series, Part I: Foundation IEEE Trans. Signal Processing 42 1994 3387 3408
32. Giannakis G.B. Cyclostationary signal analysis V.K. Madisetti D.B. Williams The Handbook of Digital Signal Processing 1998 CRC Press Inc. and IEEE Press
33. Gladyshev E.G. Periodically and almost periodically correlated random processes with continuous time parameters Theory Prob. and Appl. 8 1963 173 177 [35] P
34. Gournay P., and Nicolas P. Analyse spectrale cyclique et analyse temps-frequence pour l'identification automatique de trasmissions Proc. of Quinzieme Colloque GRETSI 1995 Juan-les-Pins France Sept. 1995.
35. Hlawatsch F., and Boudreaux-Bartels G.F. Linear and quadratic time-frequncy signal representations IEEE Signal Processing Magazine 9 1992 21 67
36. Hofstetter E.M. Random Processes H. Margenau G.M. Murphy The Mathematics of Physics and Chemistry Vol. II 1964 D. Van Nostrand Princeton, NJ 99 189
37. Hurd H.L. Periodically correlated processes with discontinuous correlation function Theory Prob. and Appl. 19 1974 804 808
38. Hurd H.L. Correlation theory of almost periodically correlated processes J. Mult. Anal. 37 1991 24 45
39. Hurd H.L., and Léskow J. Strongly consistent and asymptotically normal estimation for the covariance of almost periodically correlated processes Statist. Decisions 10 1992 201 225
40. Hurd H.L., and Koski T. The Wold isomorphism for cyclostationary sequences Signal Processing 84 2004 813 824
41. Izzo L., and Napolitano A. Effects of nonrandom linear time-variant systems on higher-order cyclostationarity Proc. of the Fifteenth GRETSI Symposium on Signal and Image Processing 1995 Juan-les-Pins France
42. Izzo L., and Napolitano A. Effects of random linear transformations on higher-order cyclostationary time-series Proc. of the Twenty-Ninth Annual Asilomar Conference on Signals, Systems, and Computers 1995 Pacific Grove CA October 1995
43. Izzo L., and Napolitano A. Characterization of higher-order almost periodically correlated time-series Proc. of Workshop on Cyclostationary Processes 1996 Noisy Le Grand France
44. Izzo L., and Napolitano A. Linear time-variant processing of higher-order almost-periodically correlated time-series Proc. of Eighth European Signal Processing Conference (EUSIPCO '96) 1996 Trieste Italy
45. Izzo L., and Napolitano A. Higher-order cyclostationarity properties of sampled time-series Signal Processing 54 1996 303 307
46. Izzo L., and Napolitano A. Higher-order statistics for Rice's representation of cyclostationary signals Signal Processing 56 1997 279 292
47. Izzo L., and Napolitano A. Time-frequency representations of generalized almost-cyclostationary signals Proc. of Sixteenth GRETSI Symposium on Signal and Image Processing 1997 Sept. 1997, 15-19
48. Izzo L., and Napolitano A. Multirate processing of time series exhibiting higher order cyclostationarity IEEE Trans. Signal Processing 46 1998 429 439
49. Izzo L., and Napolitano A. The higher-order theory of generalized almost-cyclostationary time-series IEEE Trans. Signal Processing 46 1998 2975 2989
50. Izzo L., and Napolitano A. Higher-order characterization of linear time variant systems operating on generalized almost-cyclostationary signals Proc. of IEEE Signal Processing Workshop on Higher-Order Statistics 1999 Ceasarea Israel 14 16 June 1999
51. Izzo L., and Napolitano A. Linear almost-periodically time-variant filtering of generalized almost-cyclostationary signals Proc. of IEEE International Symposium on Information Theory (ISIT) 2000 Sorrento Italy June 2000
52. Izzo L., and Napolitano A. Generalized almost-cyclostationary signals on multipath Doppler channels Proc. of X European Signal Processing Conference (EUSIPCO 2000) 2000 Tampere Finland Sept. 2000
53. Izzo L., and Napolitano A. Higher-order statistics of sampled generalized almost-cyclostationary signals Proc. of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing 2001 MD Baltimore June 2001
54. Izzo L., and Napolitano A. On the sampling of generalized almost-cyclostationary signals Proc. of Thirty-Sixth Annual Asilomar Conference on Signals, Systems, and Computers 2002 CA Pacific Grove November 2002
55. Izzo L., and Napolitano A. Linear time-variant transformations of generalized almost-cyclostationary signals, Part I: Theory and method IEEE Trans. Signal Processing 50 2002 2947 2961
56. Izzo L., and Napolitano A. Linear time-variant transformations of generalized almost-cyclostationary signals, Part II: Development and applications IEEE Trans. Signal Processing 50 2002 2962 2975
57. Izzo L., and Napolitano A. Sampling of generalized almost-cyclostationary signals IEEE Trans. Signal Processing 51 2003 1546 1556
58. Kac M., and Steinhaus H. Sur les foncions indépendantes IV Studia Mathematica 7 1938 1 15
59. Kac M. Statistical Independence in Probability, Analysis and Number Theory 1959 The Mathematical Association of America New York
60. König D., and Böme J.F. Application of cyclostationarity and time-frequency analysis to car engine diagnosis Proc. of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '94) 1994 South Australia Adelaide April 1994
61. Lacoume J.L., Amblard P.O., and Comon P. Statistiques d'orde supérieur pour le traitement du signal, 1997 1997 Masson Paris
62. Lee Y.W. Statistical Theory of Communication 1967 J. Wiley and Sons New York
63. Léskow J., and Napolitano A. Quantile prediction for time series in the fraction-of-time probability framework Signal Processing 82 2002 1727 1741
64. Li H., and Cheng Q. Almost sure convergence analysis of mixed time averages and Kth-order cyclic statistics IEEE Trans. Inform. Theory 43 1997 1265 1268
65. Liu B., and Franaszek P.A. A class of time-varying digital filters IEEE Trans. Circuit Theory CT-16 1969 467 471
66. Middleton D. A statistical theory of reverberation and similar first-order scattered fields, Part I: Waveforms and general process IEEE Trans. Inform. Theory IT-13 1967 372 392
67. Middleton D. A statistical theory of reverberation and similar first-order scattered fields, Part II: Moments, spectra, and special distributions IEEE Trans. Inform. Theory IT-13 1967 393 414
68. Napolitano A. Cyclic higher-order statistics: input/output relations for discrete- and continuous-time MIMO linear almost-periodically time-variant systems Signal Processing 42 1995 147 166
69. Napolitano A. Uncertainty in measurements on spectrally correlated stochastic processes IEEE Transactions on Information Theory 49 2003 2172 2191
70. Napolitano A. Mean-square consistency of statistical-function estimators for generalized almost-cyclostationary processes Proc. of XII European Signal Processing Conference (EUSIPCO 2004) 2004 Vienna, Austria, September 2004
71. Napolitano A., and Spooner C.M. Median-based cyclic polyspectrum estimation IEEE Transactions on Signal Processing 48 2000 1462 1466
72. Napolitano A., and Spooner C.M. Cyclic spectral analysis of continuous phase modulated signals IEEE Transactions on Signal Processing 49 2001 30 44
73. Papoulis A. Probability, Random Variables, and Stochastic Processes 3 edn 1991 McGraw-Hill New York
74. Pfaffelhuber E. Generalized harmonic analysis for distributions IEEE Trans. Inform. Theory IT-21 1975 605 611
75. Picinbono B. On circularity IEEE Transactions on Signal Processing 42 1994 3473 3482
76. Proakis J.G. Digital Communications 3 edn 1995 McGraw-Hill New York
77. Sethares W.A., and Staley T.W. Periodicity transforms IEEE Trans. Signal Processing 47 1999 2953 2964
78. Spooner C.M., and Gardner W.A. The cumulant theory of cyclostationary time-series, Part II: Development and applications IEEE Trans. Signal Processing 42 1994 3409 3429
79. Tsao Y.H. Time-variant filtering for nonstationary random processes Journal of Acoustical Society of America 76 1984 1098 1113
80. Urbanik K. Effective processes in the sense of H. Steinhaus Studia Mathematica T.XVII 1958 335 348
81. Van Trees H.L. Detection, Estimation, and Modulation Theory, Part III 1971 John Wiley and Sons New York
82. Wiener N. Generalized harmonic analysis Acta Mathematica 55 1930 117 258
83. Wold H.O.A. On prediction in stationary time series Ann. Math. Statist. 19 1948 558 567
84. Zemanian A.H. Distribution theory and transform analysis 1987 Dover Publishing New York