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Constructions and a Generalization of Perfect Autocorrelation Sequences on

  • John J. BenedettoEmail author
  • Somantika Datta
Chapter

Abstract

Low autocorrelation signals have fundamental applications in radar and communications. We construct constant amplitude zero autocorrelation (CAZAC) sequences x on the integers by means of Hadamard matrices. We then generalize this approach to construct unimodular sequences x on whose autocorrelations A x are building blocks for all functions on . As such, algebraic relations between A x and A y become relevant. We provide conditions for the validity of the formulas A x+y =A x +A y .

Keywords

Discrete Fourier Transform Code Division Multiple Access Inverse Fourier Transform Wavelet Packet Tight Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The first named author gratefully acknowledges the support of ONR Grant N00014-09-1-0144 and MURI-ARO Grant W911NF-09-1-0383. The second named author gratefully acknowledges the support of AFOSR Grant FA9550-10-1-0441.

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Copyright information

© Springer New York 2013

Authors and Affiliations

  1. 1.Department of Mathematics, Norbert Wiener CenterUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsUniversity of IdahoMoscowUSA

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