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Unit time-phase signal sets with the explicit maximum cross ambiguity amplitudes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

Unit time-phase signal sets have many important applications in radar or sonar systems. Upper bounds or lower bounds on the maximum cross ambiguity amplitudes of \((n, M)\) unit time-phase signal sets with \(M \ge 2\) have been presented in the literature. In this paper, we use Gauss sums to determine the explicit maximum cross ambiguity amplitudes of some infinite series of unit time-phase signal sets which were constructed by Ding et al. (Cryptogr Commun 5:209–227, 2013).

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Acknowledgments

The authors are very grateful to the two anonymous reviewers and the editor for their valuable comments and suggestions that improved the quality of this paper. The paper is supported by NNSF of China (No. 11171150) and Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-13-001).

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People’s Republic of China

    Chengju Li & Qin Yue

  2. SKL of Mathematical Engineering and Advanced Computing, Wuxi, People’s Republic of China

    Qin Yue

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  1. Chengju Li
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  2. Qin Yue
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Correspondence to Qin Yue.

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Li, C., Yue, Q. Unit time-phase signal sets with the explicit maximum cross ambiguity amplitudes. AAECC 25, 393–405 (2014). https://doi.org/10.1007/s00200-014-0234-3

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  • DOI: https://doi.org/10.1007/s00200-014-0234-3

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