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

Chengju Li; Qin Yue

doi:10.1007/s00200-014-0234-3

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

Chengju Li
, Qin Yue^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 ≥ 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).

Original language	English
Pages (from-to)	393-405
Number of pages	13
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	25
Issue number	6
DOIs	https://doi.org/10.1007/s00200-014-0234-3
State	Published - 22 Nov 2014
Externally published	Yes

Keywords

Index 2 Gauss sums
Maximum cross ambiguity amplitude
Stickelberger’s Theorem
Unit time-phase signal sets

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10.1007/s00200-014-0234-3

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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 ≥ 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).",

keywords = "Index 2 Gauss sums, Maximum cross ambiguity amplitude, Stickelberger{\textquoteright}s Theorem, Unit time-phase signal sets",

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AU - Yue, Qin

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AB - 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 ≥ 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).

KW - Index 2 Gauss sums

KW - Maximum cross ambiguity amplitude

KW - Stickelberger’s Theorem

KW - Unit time-phase signal sets

UR - https://www.scopus.com/pages/publications/84911986633

U2 - 10.1007/s00200-014-0234-3

DO - 10.1007/s00200-014-0234-3

M3 - 文章

AN - SCOPUS:84911986633

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EP - 405

JO - Applicable Algebra in Engineering, Communications and Computing

JF - Applicable Algebra in Engineering, Communications and Computing

IS - 6

ER -

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

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Keywords

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