Skip to main content

Survey of Results on Signal Patterns for Locating One or Multiple Targets

  • Chapter
Difference Sets, Sequences and their Correlation Properties

Part of the book series: NATO Science Series ((ASIC,volume 542))

Abstract

There are two main categories in spread spectrum. In this section we describe the one which is called frequency hop spread spectrum. In this area we have the following fundamental problem:

“We have an object which is moving towards (or away from) us and we want to determine the distance and velocity of that object.”

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bellegard, J.R., Marié, S.V. and Titlebaum, E.L. (1993) The Hit Array: A synthesis tool for multiple access FH signals, IEEE Transactions on Aerospace and Electronic Systems 29.

    Google Scholar 

  • Bloom, G.S. and Golomb S.W. (1977) Applications of numbered undirected graphs, Proceedings of the IEEE 65 562–570.

    Article  Google Scholar 

  • Costas, J.P. (1975) Medium constraints on sonar design and performance, FASCON Convention Record, 68A–68L.

    Google Scholar 

  • Costas, J.P. (1984) A study of a class of detection waveforms having nearly ideal range-Doppler ambiguity properties, Proc. IEEE 72 996–1009.

    Article  Google Scholar 

  • Freedman, A. and Levanon, N. (1985) Any two n x n Costas signals must have at least one common ambiguity sidelobe if N > 3 — a proof, Proc. of the IEEE 73 1530–1532.

    Article  MATH  Google Scholar 

  • Golomb, S.W. (1984) Algebraic constructions for Costas arrays, J. Combin. Theory (A) 37 13–21.

    Article  MathSciNet  MATH  Google Scholar 

  • Golomb, S.W. (1991) Construction of signals with favorable correlation properties, in A.D. Keedwell (ed.), Surveys in Combinatorics, LMS Lecture Note Series 166 Cambridge University Press, pp.1–40.

    Google Scholar 

  • Golomb, S.W. (1999) Construction of signals with favorable correlation properties, this volume.

    Google Scholar 

  • Golomb, S.W. and Moreno, O. (1996) On periodicity properties of Costas arrays and aconjecture on permutation polynomials, IEEE Trans. Inform. Theory 42 2252–2253.

    Article  MathSciNet  MATH  Google Scholar 

  • Golomb, S.W. and Taylor, H. (1982) Two-dimensional synchronization patterns for minimum ambiguity, IEEE Trans. Inform. Theory 28 600–604.

    Article  MathSciNet  Google Scholar 

  • Colomb, S.W. and Taylor, H. (1984) Constructions and properties of Costas arrays, Proceedings of the IEEE 72 1143–1163.

    Article  Google Scholar 

  • Jungnickel, D. and Pott, A. (1999) Difference sets: an introduction, this volume.

    Google Scholar 

  • Mac Williams, F.J. and Sloane, N.J.A. (1977) The Theory of Error Correcting Codes, North-Holland, Amsterdam.

    Google Scholar 

  • Marié, S. and Titlebaum, E.L. (1990) Frequency hop multiple access codes based upon the theory of cubic congruences, IEEE Transactions on Aerospace and Electronic Systems 26 1036–1039.

    Google Scholar 

  • Marié, S. and Titlebaum, E.L. (1992) A class of frequency hop codes with nearly ideal characteristics for use in multiple-access spread-spectrum communications and radar and sonar systems, IEEE Transactions on Communications 40 1442–1447.

    Article  Google Scholar 

  • Moreno, O. (1989) On the existence of a primitive quadratic of trace 1 in GF(p’), J. Combin. Theory (A), 51 104–110.

    Article  MATH  Google Scholar 

  • Moreno, O. (1992) A shifting property of some Costas sequences, Ars Combinatoria 33 157–160.

    MathSciNet  MATH  Google Scholar 

  • Moreno, O., Games, R.A. and Taylor, H. (1993) Sonar sequences from Costas arrays and the best known sonar sequences with up to 100 symbols, IEEE Trans. Inform. Theory 39 1985–1989.

    Article  MATH  Google Scholar 

  • Moreno, O., Golomb, S.W. and Corrada, C. (1997) Extended sonar sequences, IEEE Trans. Inform. Theory 43 1999–2005.

    Article  MathSciNet  MATH  Google Scholar 

  • Moreno, O. and Marie, S. (1995) A class of frequency hop codes with nearly ideal characteristics for use in multiple-target recognition, in Proceedings of the Thirty-third Annual Allerton Conference on Communication, Control,and Computing, Urbana, Illinois, pp.911–914.

    Google Scholar 

  • Moreno, O. and Marié, S. (1996) Classes of Costas and sonar sequences for multipletargets recognition, in Proceedings of the Thirty–Fourth Annual Allerton Conference on Communication, Control, and Computing, Urbana, Illinois, pp.703–706.

    Google Scholar 

  • Moreno, O., Pei, P. and Ramirez, J.G. (1995) A parallel algorithm for the enumeration of Costas sequences, in Proc. 7th SIAM Conference on Parallel Processing for Scientific Computing, pp.255–260.

    Google Scholar 

  • Moreno, O. and Sotero, J. (1990) Computational approach to conjecture A of Golomb, Congressus Numerantium 70 7–16.

    MathSciNet  Google Scholar 

  • Rickard, S.T. (1992) Large sets of frequency hopped waveforms with nearly ideal orthogonality properties, MIT Master of Science in Electrical Engineering and Computer Science.

    Google Scholar 

  • Titlebaum, E.L. and Marié, S. (1990) Multiuser sonar properties for Costas array frequency hop coded signals, in Proc. IEEE ICASSP 1990, pp.2727–2730.

    Google Scholar 

  • Titlebaum, E.L., Marié, S. and Bellegard, J.R. (1991) Ambiguity properties of quadratic congruential coding, IEEE Transactions on Aerospace and Electronic Systems 27,18–29.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Moreno, O. (1999). Survey of Results on Signal Patterns for Locating One or Multiple Targets. In: Pott, A., Kumar, P.V., Helleseth, T., Jungnickel, D. (eds) Difference Sets, Sequences and their Correlation Properties. NATO Science Series, vol 542. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4459-9_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4459-9_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5959-3

  • Online ISBN: 978-94-011-4459-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics