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Characteristic Linear Sequences and Their Coset Functions

Robert Gold

发表年份
1966
引用次数
40

摘要

Previous article Next article Characteristic Linear Sequences and Their Coset FunctionsRobert GoldRobert Goldhttps://doi.org/10.1137/0114079PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. W. Golomb, Sequences with randomness properties, The Glenn L. Martin Company, Baltimore, 1955 Google Scholar[2] Neal Zierler, Linear recurring sequences, J. Soc. Indust. Appl. Math., 7 (1959), 31–48 10.1137/0107003 MR0101979 0131.16503 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails EmnDash: A Robust High-Speed Spatial Tracking System Using a Vector-Graphics Laser Display with M-Sequence Dashed Markers20 October 2022 | Journal of Robotics and Mechatronics, Vol. 34, No. 5 Cross Ref Doppler Shift Tolerance of Typical Pseudorandom Binary Sequences in PMCW Radar22 April 2022 | Sensors, Vol. 22, No. 9 Cross Ref A performance comparison between m-sequences and linear frequency-modulated sweeps for the estimation of travel-time with a moving sourceThe Journal of the Acoustical Society of America, Vol. 150, No. 4 Cross Ref Basic Properties of Direct Sequence Spread Spectrum Signals2 July 2020 Cross Ref EmnDash: M-sequence Dashed Markers on Vector-based Laser Projection for Robust High-speed Spatial Tracking Cross Ref Cross-correlation index and multiple-access performance of spreading codes for a wireless system Cross Ref Cross-correlation index and multiple-access performance of Gold codes in a spread-spectrum system Cross Ref Performance of even- and odd-degree Gold codes in a multi-user spread-spectrum system Cross Ref Bibliography18 June 2013 Cross Ref Bibliography16 August 2013 Cross Ref Reciprocal maximum-length sequence pairs for acoustical dual source measurementsThe Journal of the Acoustical Society of America, Vol. 113, No. 5 Cross Ref Generation of canonical M-sequences and dual basesIEEE Transactions on Information Theory, Vol. 42, No. 2 Cross Ref Using M-sequences for determining the impulse responses of LTI-systemsSignal Processing, Vol. 28, No. 2 Cross Ref A Frame Synchronization Algorithm for High Noise Environments Cross Ref Maximal families of bent sequencesIEEE Transactions on Information Theory, Vol. 28, No. 6 Cross Ref Moments of the Weights of Pseudo-Noise Subsequences Cross Ref Crosscorrelation properties of pseudorandom and related sequencesProceedings of the IEEE, Vol. 68, No. 5 Cross Ref Factoring Polynomials over a Finite FieldMichael Willett12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 35, No. 2AbstractPDF (527 KB)Bibliography Cross Ref A class of balanced binary sequences with optimal autocorrelation propertiesIEEE Transactions on Information Theory, Vol. 23, No. 1 Cross Ref Pseudo-random sequences and arraysProceedings of the IEEE, Vol. 64, No. 12 Cross Ref Matrix Factorization over $GF(2)$ and Trace-Orthogonal Bases of $GF(2^n )$Abraham Lempel13 July 2006 | SIAM Journal on Computing, Vol. 4, No. 2AbstractPDF (704 KB)Families of shift-register sequences with impulsive correlation propertiesIEEE Transactions on Information Theory, Vol. 20, No. 2 Cross Ref An analysis of the pseudo-randomness properties of subsequences of long<tex>m</tex>-sequencesIEEE Transactions on Information Theory, Vol. 14, No. 4 Cross Ref Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)IEEE Transactions on Information Theory, Vol. 14, No. 1 Cross Ref Optimal binary sequences for spread spectrum multiplexing (Corresp.)IEEE Transactions on Information Theory, Vol. 13, No. 4 Cross Ref Volume 14, Issue 5| 1966SIAM Journal on Applied Mathematics History Submitted:20 May 1965Published online:13 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114079Article page range:pp. 980-985ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics

关键词

CosetMathematicsPure mathematicsMathematical analysisCombinatorics

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