Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems

Pavel Molchanov; Alexandr Totsky

International Journal of Applied Mathematics and Computer Science (2008)

  • Volume: 18, Issue: 3, page 361-367
  • ISSN: 1641-876X

Abstract

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This paper presents a new noise immunity encoding/decoding technique by using the features of triple correlation and bispectrum widely employed in digital signal processing systems operating in noise environments. The triple correlationand bispectrum-based encoding/decoding algorithm is tested for a digital radio telecommunications binary frequency shift keying system. The errorless decoding probability was analyzed by means of computer simulation for the transmission and reception of a test message in a radio channel disturbed by both additive white Gaussian noise (AWGN) and a mixture of an AWGN and an impulsive noise. Computer simulation results obtained for varying and less than unity signal-to-noise ratios at the demodulator input demonstrate a considerable improvement in the noise immunity of the technique suggested in comparison with the traditional redundant linear block encoding/decoding technique.

How to cite

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Pavel Molchanov, and Alexandr Totsky. "Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems." International Journal of Applied Mathematics and Computer Science 18.3 (2008): 361-367. <http://eudml.org/doc/207891>.

@article{PavelMolchanov2008,
abstract = {This paper presents a new noise immunity encoding/decoding technique by using the features of triple correlation and bispectrum widely employed in digital signal processing systems operating in noise environments. The triple correlationand bispectrum-based encoding/decoding algorithm is tested for a digital radio telecommunications binary frequency shift keying system. The errorless decoding probability was analyzed by means of computer simulation for the transmission and reception of a test message in a radio channel disturbed by both additive white Gaussian noise (AWGN) and a mixture of an AWGN and an impulsive noise. Computer simulation results obtained for varying and less than unity signal-to-noise ratios at the demodulator input demonstrate a considerable improvement in the noise immunity of the technique suggested in comparison with the traditional redundant linear block encoding/decoding technique.},
author = {Pavel Molchanov, Alexandr Totsky},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {telecommunications; frequency shift keying; redundant encoding; triple correlation; bispectrum},
language = {eng},
number = {3},
pages = {361-367},
title = {Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems},
url = {http://eudml.org/doc/207891},
volume = {18},
year = {2008},
}

TY - JOUR
AU - Pavel Molchanov
AU - Alexandr Totsky
TI - Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2008
VL - 18
IS - 3
SP - 361
EP - 367
AB - This paper presents a new noise immunity encoding/decoding technique by using the features of triple correlation and bispectrum widely employed in digital signal processing systems operating in noise environments. The triple correlationand bispectrum-based encoding/decoding algorithm is tested for a digital radio telecommunications binary frequency shift keying system. The errorless decoding probability was analyzed by means of computer simulation for the transmission and reception of a test message in a radio channel disturbed by both additive white Gaussian noise (AWGN) and a mixture of an AWGN and an impulsive noise. Computer simulation results obtained for varying and less than unity signal-to-noise ratios at the demodulator input demonstrate a considerable improvement in the noise immunity of the technique suggested in comparison with the traditional redundant linear block encoding/decoding technique.
LA - eng
KW - telecommunications; frequency shift keying; redundant encoding; triple correlation; bispectrum
UR - http://eudml.org/doc/207891
ER -

References

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  1. Nakamura M. (1993). Waveform estimation from noisy signals with variable signal delay using bispectrum averaging, IEEE Transactions on Biomedical Engineering 40(2): 118-127. 
  2. Nikias C. L. and Raghuveer M. R. (1987). Bispectral estimation: A digital signal processing framework, Proceedings of the IEEE 75(7): 869-891. 
  3. Proakis J. G. (1989). Digital Communications, 2nd Edn., McGraw-Hill, New York, NY. Zbl0292.94002
  4. Sklar B. (2003). Digital Communication: Fundamentals and Applications, 2nd Edn., Williams Publishing House, Moscow, (in Russian). Zbl0717.94002
  5. Totsky A. V., Kurbatov I. V., Lukin V. V., Egiazarian K. O., and Astola J. T. (2003). Combined bispectrum-filtering techniques for radar output signal reconstruction in ATR applications, Proceedings of the International Conference on Automatic Target Recognition XIII, Orlando, FL, USA, The International Society for Optical Engineering, Vol. 5094, pp. 301-312. 
  6. Totsky A. V., Fevralev D. V., Lukin V. V., Katkovnik V. Ya., Paly D. V., Egiazarian K. O., Pogrebnyak O. B. and Astola J. T. (2006). Performance study of adaptive filtering in bispectral signal reconstruction. Circuits, Systems, and Signal Processing 25(3): 314-342. Zbl1130.94314
  7. Varakin L. E. (1985). Communication Systems Using Noise-Like Signals, Radio and Svyaz, Moscow, (in Russsian). 

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