Totally orthogonal complementary binary codes sequences and applications to communications systems.
totallyorthogona00fren.pdf (3.175Mb)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.
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.Collections
Related items
Showing items related by title, author, creator and subject.
-
A theoretical study of complementary binary code sequences and a computer search for new kernels.
(Monterey, California: U.S. Naval Postgraduate School, 1962-05);Complementary binary sequences were invented by Golay in an investigation of infra-red multi-slit spectrometry. This dissertation formalizes the basic results obtained by Golay and develops new concepts and techniques ... -
A theoretical study and computer search for binary sequences having specific auto-correlation functions
(Monterey, California. Naval Postgraduate School, 1978-12);Binary sequences find increasing use in electrical engineering applications of ranging, time measurement and communications. A property of interest in these applications is the autocorrelation function of the binary ... -
Comparison of complementary sequences in hybrid phase and frequency shift keying CW radar using periodic ambiguity analysis
(Monterey, California. Naval Postgraduate School, 2012-12);Continuous waveform (CW) polyphase sequences for radar have a much lower power spectral density (PSD) than pulsed signals but can retain the same target detection capability. The use of different phase values or subcodes ...
