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Estimation and Signal

Singularity in signal theory

Pages 495-506 | Received 05 Jul 2007, Accepted 06 Jul 2007, Published online: 06 Oct 2010

References

  • Campbell , L , McKellips , A and Wittke , P . 1995 . Distributions and expectations of singular random variables . J. Appl. Prob. , 32 : 1032 – 1040 .
  • Falconer , K . 1990 . Fractal Geometry Mathematical Foundations and Applications , Chichester : John Wiley and Sons .
  • Garsia , A . 1962 . Entropy and singularity of infinite convolutions . Pacific J. Math. , 13 : 1159 – 1169 .
  • Helstrom , CW . 1991 . Probability and Stochastic Processes for Engineers , New-York : Macmillan .
  • Hill , FS and Blanco , MA . 1973 . Random geometric series and intersymbol interference . IEEE Trans. Inform. Theory , IT 19 : 326 – 335 .
  • Kershner , R and Wintner , A . 1935 . On symmetric Bernoulli convolutions . Amer. J. Math. , 57 : 541 – 545 .
  • Loève , M . 1977 . Probability Theory , New York : Springer Verlag .
  • Lukacs , E . 1970 . Characteristic Functions , London, , UK : Griffin .
  • Naraghi-Pour , M and Neuhoff , D . 1990 . On the continuity of the stationary state distribution of DPCM . IEEE Trans. Inform. Theory , IT-36 : 305 – 311 .
  • Ochi , MK . 1990 . Applied Probability and Stochastic Processes , New York : Wiley .
  • Papoulis , A . 1984 . Probability, Random Variables and Stochastic Processes , New York : McGraw Hill .
  • Peres , Y and Solomyak , B . 1998 . Self similar measures and intersections of Cantor sets . Trans. Amer. Math. Soci. , 350 : 4065 – 4087 .
  • Pfeifer , PE . 1990 . Probability for Applications , New York : Springer Verlag .
  • Picinbono , B . 1993 . Random Signals and Systems , Englewood Cliffs : Prentice Hall .
  • Picinbono , B . 2006 . Correlation and singularity, L2S internal report
  • Picinbono , B and Tourneret , J-Y . 2005 . Singular random signals . IEEE Trans. Sig. Proc. , 53 : 499 – 504 .
  • Smith , W , Wittke , P and Campbell , L . 1993 . Error probabilities on fading channels with intersymbol interference and noise . IEEE Trans. Inform. Theory , 39 : 1598 – 1607 .
  • Solomyak , B , Peres , Y and Schlag , W . 2000 . “ Sixty years of Bernoulli convolutions, fractal and stochastics II ” . In Progress in Probability , Edited by: Bandt , C , Graf , S and Zahle , M . Vol. 46 , 39 – 65 . New York : Birkhäuser .
  • Tourneret , J-Y and Lacaze , B . 1994 . Étude et simulation des lois de probabilité de sorties de modèles paramétriques . Traitement du signal , 11 : 271 – 281 .
  • Wittke , P , Smith , W and Campbell , L . 1988 . Infinite series of interference variables with Cantor-type distributions . IEEE Trans. Inform. Theory , 34 : 1428 – 1436 .
  • Wong , E and Hajek , B . 1985 . Stochastic Processes in Engineering Systems , New York : Springer Verlag .

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