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Orthogonal Residue Sequences

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Abstract

This paper presents a class of random orthogonal sequences associated with the number theoretic Hilbert transform. We present a constructive procedure for finding the random sequences for different modulus values. These random sequences have autocorrelation function that is zero everywhere excepting at the origin. These sequences may be used as keys in communication applications in a manner that is analogous to the use of PN sequences in spread spectrum systems.

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Acknowledgments

This research was supported in part by the National Science Foundation Grant CNS-1117068.

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Authors and Affiliations

  1. School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, OK, 74078, USA

    Subhash Kak

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  1. Subhash Kak
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Correspondence to Subhash Kak.

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Kak, S. Orthogonal Residue Sequences. Circuits Syst Signal Process 34, 1017–1025 (2015). https://doi.org/10.1007/s00034-014-9879-1

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  • DOI: https://doi.org/10.1007/s00034-014-9879-1

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