Costas array generation and search methodology

James K. Beard; Jon C. Russo; Keith G. Erickson; Michael C. Monteleone; Michael T. Wright

doi:10.1109/TAES.2007.4285351

Costas array generation and search methodology

James K. Beard, Jon C. Russo, Keith G. Erickson, Michael C. Monteleone, Michael T. Wright

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

46 Scopus citations

Abstract

Costas arrays are permutation matrices that provide sequencing schemes for frequency hop in FSK waveforms. Such frequency-shift keying (FSK) waveforms can be designed to have nearly ideal ambiguity function properties in both the time and frequency directions: the Costas property permits at most one coincident tone in autocorrelations in both time and frequency. Costas arrays are found by number-theoretic generators and their extensions, and by exhaustive search methods. Two new extensions of number-theoretic methods are introduced here that find two new Costas arrays. All Costas arrays for orders 24, 25, and 26 are disclosed here, including previously unknown examples.

Original language	English (US)
Pages (from-to)	522-538
Number of pages	17
Journal	IEEE Transactions on Aerospace and Electronic Systems
Volume	43
Issue number	2
DOIs	https://doi.org/10.1109/TAES.2007.4285351
State	Published - Apr 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Aerospace Engineering
Electrical and Electronic Engineering

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10.1109/TAES.2007.4285351

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abstract = "Costas arrays are permutation matrices that provide sequencing schemes for frequency hop in FSK waveforms. Such frequency-shift keying (FSK) waveforms can be designed to have nearly ideal ambiguity function properties in both the time and frequency directions: the Costas property permits at most one coincident tone in autocorrelations in both time and frequency. Costas arrays are found by number-theoretic generators and their extensions, and by exhaustive search methods. Two new extensions of number-theoretic methods are introduced here that find two new Costas arrays. All Costas arrays for orders 24, 25, and 26 are disclosed here, including previously unknown examples.",

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AU - Beard, James K.

AU - Russo, Jon C.

AU - Erickson, Keith G.

AU - Monteleone, Michael C.

AU - Wright, Michael T.

PY - 2007/4

Y1 - 2007/4

N2 - Costas arrays are permutation matrices that provide sequencing schemes for frequency hop in FSK waveforms. Such frequency-shift keying (FSK) waveforms can be designed to have nearly ideal ambiguity function properties in both the time and frequency directions: the Costas property permits at most one coincident tone in autocorrelations in both time and frequency. Costas arrays are found by number-theoretic generators and their extensions, and by exhaustive search methods. Two new extensions of number-theoretic methods are introduced here that find two new Costas arrays. All Costas arrays for orders 24, 25, and 26 are disclosed here, including previously unknown examples.

AB - Costas arrays are permutation matrices that provide sequencing schemes for frequency hop in FSK waveforms. Such frequency-shift keying (FSK) waveforms can be designed to have nearly ideal ambiguity function properties in both the time and frequency directions: the Costas property permits at most one coincident tone in autocorrelations in both time and frequency. Costas arrays are found by number-theoretic generators and their extensions, and by exhaustive search methods. Two new extensions of number-theoretic methods are introduced here that find two new Costas arrays. All Costas arrays for orders 24, 25, and 26 are disclosed here, including previously unknown examples.

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JO - IEEE Transactions on Aerospace and Electronic Systems

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Costas array generation and search methodology

Abstract

All Science Journal Classification (ASJC) codes

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