Skip to main content
SpringerLink
Log in

Waveforms and Radiation Patterns

  • Chapter
Number Theory in Science and Communication

Part of the book series: Springer Series in Information Sciences ((SSINF,volume 7))

  • 178 Accesses

Abstract

In numerous technical applications, as well as some theoretical considerations, an enticing problem is encountered. In its most practical (and real) form the problem may be that of designing a radar (or sonar) transmitter waveform with a given spectrum such that its peak factor is a minimum. Peak factor is defined here as the range of the waveform values divided by their root-mean­square. This is important in radar and sonar, because one often wants to radiate a maximum amount of signal power, of a prescribed spectral shape, with a given peak power limitation on the transmitter.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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

  1. M. R. Schroeder: Synthesis of low peak-factor signals and binary sequences with low autocorrelation. IEEE Trans. IT-13, 85–89 (1970)

    Google Scholar 

  2. W. Rudin: Some theorems on Fourier coefficients. Proc. Am. Math. Soc. 10, 855–859 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  3. D. A. Shedd, D. V. Sarwate: Construction of sequences with good correlation properties. IEEE Trans. IT-25, 94–97 (1979)

    Google Scholar 

  4. A. Gersho, B. Gopinath, A. M. Odlyzko: Coefficient inaccuracy in transversal filtering. Bell Syst. Tech. J. 58, 2301–2316 (1979)

    MathSciNet  MATH  Google Scholar 

  5. I. F. Blake, J. W. Mark: A note on complex sequences with low correlations. IEEE Trans. IT-28, 814–816 (1982)

    Google Scholar 

  6. A. T. Moffet: Minimum redundancy linear arrays. IEEE Trans. Antennas and Propagation AP-16, 172–175 (1968)

    Google Scholar 

  7. A. Rosa, G. Sabadussi, J. Turgeon (eds.): Theory and Practice of Combinatorics ( North-Holland, Amsterdam 1982 )

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Drittes Physikalisches Institut, Universität Göttingen, Bürgerstraße 42-44, D-3400, Göttingen, Fed. Rep. of Germany

    Professor Dr. Manfred R. Schroeder (Direktor, Past Director)

  2. Acoustics Speech and Mechanics Research, Bell Laboratories, 07974, Murray Hill, NJ, USA

    Professor Dr. Manfred R. Schroeder (Direktor, Past Director)

Authors
  1. Professor Dr. Manfred R. Schroeder
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Schroeder, M.R. (1984). Waveforms and Radiation Patterns. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-02395-2_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02397-6

  • Online ISBN: 978-3-662-02395-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation