Detection of weak signals based on a new class of transformations of random series

Physica A: Statistical Mechanics and its Applications

Volumn 289, Issue 1-2, 2001, Pages 18-36

  Nigmatullin, R R ^a,b  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF JORDAN   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; MATHEMATICAL TRANSFORMATIONS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

SIGNAL-TO-STAIRCASE TRANSFORMATION (SST);

SEISMIC PROSPECTING;

EID: 0035153543     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00301-0     Document Type: Article

References (9)

1. I. Daubechies, Ten Lectures On Wavelets, Society for Industrial and Applied Mathematics, 1994.
2. G. Strang, T. Nguyen, Wavelets and Filter Banks, Wellesley Cambridge Press, 1996.
3. S.G. Mallat, Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Trans. Image Process. 41 (1993) 3397.
4. O. Rioul, M. Vetterli, Wavelet and signal processing, IEEE Signal Process. Mag. 10 (1991) 14.
5. E. Sheibani, R. Sankar, Proceedings of the IEEE SouthEastCon'98, Orlando, FL, USA, April 24-26, 1998, p. 20.
6. J. Feder, Fractals, Plenum Press, New York and London, 1989.
7. S.S. Kharintsev, R.R. Nigmatullin, M.Kh. Salakhov, Asian J. Spectrosc. 3 (1999) 49.
8. A.L. Mehaute, R.R. Nigmatullin, L. Nivanen, Fleches du Temps et Geometrie Fractale, Paris, Hermes, 1998.
9. R.R. Nigmatullin, Appl. Magn. Resonance 14 (1998) 601.