Rules for constructing full classes of optimal and quasioptimal systems of discrete frequency signals over isomorphic Galois fields

Authors

  • Michael I. Mazurkov Odessa National Polytechnic University, Ukraine
  • S. N. Kropachev Odessa National Polytechnic University, Ukraine

DOI:

https://doi.org/10.3103/S0735272707100081

Abstract

Regular rules for building full classes of optimal DF signals systems are proposed with the property of not more than one coincidence (λ ≤ 1) and DF signals quasioptimal systems with the property of not more than two coincidences (λ ≤ 2) over extended (isomorphic) Galois fields GF(q).

References

  1. L. E. Varakin, Communication Systems with Noise-Like Signals (Radio i Svyaz’, Moscow, 1985) [in Russian].
  2. L. E. Varakin, Signals’ Systems Theory (Sov. Radio, Moscow, 1978) [in Russian].
  3. M. I. Mazurkov and V. S. Dmitrenko, “Regular rule of DF signals optimal systems full classes building on the basis of decimation method,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 48(2), 49–54 (2005).
  4. R. Blejhut, Correcting Mistakes Codes’ Theory and Practice (Mir, Moscow, 1986) [Russian translation].
  5. M. I. Mazurkov and E. A. Konopaka, “Linear recurrent series families on the basis of isomorphic Galois fields full totality,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 48(11), 58–65 (2005).
  6. I. M. Vinogradov, Number Theory Principles (Nauka, Moscow, 1981) [in Russian].
  7. M. I. Mazurkov, “Supplemented time-frequency codes of quadratic-cube deductions in Galois simple fields,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 41(3), 76–80 (1998).

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Published

2007-10-08

Issue

Vol. 50 No. 10 (2007)

Section

Research Articles