NDLI: Good code sets by spreading orthogonal vectors via Golomb rulers and Costas arrays

Content Provider	IEEE Xplore Digital Library
Author	Fam, A.T.
Copyright Year	2010
Description	Author affiliation: Department of Electrical Engineering, The State University of New York at Buffalo, NY 142 60, USA (Fam, A.T.)
Abstract	Good code sets have autocorrelation functions ACF with small sidelobes, and also have small crosscorrelations. In this work, a class of good ternary codes sets are introduced. First, mutually orthogonal vectors are selected, then they are spread via a Golomb ruler. This is shown to result in such a good set. If the mutually orthogonal vectors have entries in {-1,1} or {-1,0,1}, then a ternary code set result. While there are methods of generating ternary codes, and complementary ternary codes [1–7], there is no method in prior publications of generating mutually orthogonal ternary code sets. That is one of the contributions of this work. If complex numbers with unity magnitudes are allowed, then we obtain codes with magnitudes in {0,1}. If the vectors are obtained from matrices with mutually orthogonal rows and columns, as in Hadamard matrices, or DFT matrices, then longer codes can be obtained via spreading the obtained good set via a Golomb ruler a second time. Using existing codes, such as Barker codes, and spreading them via a Golomb ruler, then compounding them with the elements of a good set, results in a new good set with higher mainlobes. The spreading could be induced via any array of any dimension with elements of magnitudes in {0,1} that have autocorrelation with unity peak sidelobes. This includes Costas arrays, in addition to Golomb rulers.
Starting Page	1060
Ending Page	1063
File Size	643596
Page Count	4
File Format	PDF
ISBN	9781424458110
ISSN	10975659
e-ISBN	9781424458127
DOI	10.1109/RADAR.2010.5494464
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-05-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency Autocorrelation MIMO Block codes Error correction Error correction codes Wireless communication Radar applications Spaceborne radar Optical fiber communication
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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