Totally orthogonal complementary binary codes sequences and applications to communications systems.

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totallyorthogona00fren.pdf (3.18 MB)
Authors
French, Charles Everett
Subjects
complementary sequence
complementary series
complementary codes
Golay codes
orthogonal codes
communication codes
compressive codes
totally orthogonal codes
multiplex communication system
Advisors
Jauregui, S. Jr.
Date of Issue
1971-06
Date
June 1971
Publisher
Monterey, California ; Naval Postgraduate School
Language
en_US
Abstract
Complementary binary code sequences were invented by M. J. E. Golay in the investigation of infrared multislit spectrometry. Complementary coding sequences have the property of an infinite correlation peak to peak ambiguity ratio when detected with a matched filter. Cooperative or totally orthogonal complementary code pairs are two sets of complementary pairs such that the cross correlation is zero in every position. A proof is given that every complementary pair has two totally orthogonal pairs, i.e., one the complement of the other. A proof that these pairs are the only pairs is also given. A communication system involving complementary code binary sequences is simulated on the hybrid computer and compared with an ideal receiver for an uncoded signal. By using both the totally orthogonal code and time shifting, a method of horizontal multiplexing of binary coded information is proposed and evaluated. Various other complementary coding systems and possible uses are discussed.
Type
Thesis
Description
URI
https://hdl.handle.net/10945/15949
Series/Report No
Department
Electrical Engineering
Organization
Naval Postgraduate School (U.S.)
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NPS Report Number
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Funder
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Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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