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A novel approach to spread spectrum communication using Linear Periodic Time-Varying filters

  • Cryptography and Secure Communications
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Information Theory and Applications II (CWIT 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1133))

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Abstract

A stationary process subjected to a Linear Periodically Time-Varying (LPTV) transformation becomes cyclostationary. In this article, we use a particular continuous-series representation of this output process to compute its spectrum and verify its cyclostationarity. We then prove that Periodic Clock Changes (PCC) are a particular case of the LPTV transformation. A method of linear reconstruction for any LPTV filtering is then introduced. We apply it to scramble stationary processes. It corresponds to an unconventional case of spread spectrum.

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References

  1. A.D. Wyner, ”An Analog Scrambling Scheme which Does Not Expand Bandwidth, Part I: Discrete Time”, IEEE Trans. Inform. Theory, pp. 261–274, 1979

    Google Scholar 

  2. A.D. Wyner, ”An Analog Scrambling Scheme which Does Not Expand Bandwidth, Part II: Continuous Time”, IEEE Trans. Inform. Theory, pp. 415–425, 1979

    Google Scholar 

  3. B. Goldburg and S. Sridharan, ”Design and Cryptanalysis of Transform-Based Analog Speech Scramblers”, IEEE Journ. Select. Areas in Comm., pp. 735–744, 1993

    Google Scholar 

  4. W.A. Gardner, Introduction to Random Processes with Applications to Signals and Systems, 2nd ed., McGraw-Hill, 1990

    Google Scholar 

  5. T.H.E. Ericson, ”Modulation by Means of Linear Periodic Filtering”, IEEE Trans. Inform. Theory, pp. 322–327, 1981

    Google Scholar 

  6. P. Bolzern, P. Colaneri and R. Scattolini, ”Zeros of discrete-time linear periodic systems”, IEEE Trans. Autom. Contr., pp. 1057–1058, 1986

    Google Scholar 

  7. R. Ishii and M. Kakishita, ”A Design Method for a Periodically Time-Varying Digital Filter for Spectrum Scrambling”, IEEE Trans. Acous., Speech and Signal Proc., pp. 1219–1222, 1990

    Google Scholar 

  8. R.L. Pickholtz, D.L. Shilling and L.B. Milstein, ”Theory of Spread-Spectrum Communications — A Tutorial”, IEEE Trans. Commun., pp. 855–884, 1982

    Google Scholar 

  9. W.A. Gardner and L.E. Franks, ”Characterization of cyclostationary random signal processes”, IEEE Trans. Inform. Theory, pp. 4–14, 1975

    Google Scholar 

  10. N.D. Aakvaag, B. Lacaze and A. Duverdier, ”On the use of periodic timebase companding in transmission systems: Scrambling by Means of Periodic Clock Changes”, Lecture Notes in Computer Science, 1996

    Google Scholar 

  11. H. Cramér and M.R. Leadbetter, Stationary and Related Stochastic Proc, Wiley, 1967

    Google Scholar 

  12. J.G. Proakis, Digital Communications, Mc-Graw-Hill, 1989

    Google Scholar 

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Jean-Yves Chouinard Paul Fortier T. Aaron Gulliver

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© 1996 Springer-Verlag Berlin Heidelberg

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Duverdier, A., Lacaze, B., Aakvaag, N.D. (1996). A novel approach to spread spectrum communication using Linear Periodic Time-Varying filters. In: Chouinard, JY., Fortier, P., Gulliver, T.A. (eds) Information Theory and Applications II. CWIT 1995. Lecture Notes in Computer Science, vol 1133. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0025136

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  • DOI: https://doi.org/10.1007/BFb0025136

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61748-8

  • Online ISBN: 978-3-540-70647-2

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