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Full-Text Articles in Physical Sciences and Mathematics
Orthogonal Designs From Negacyclic Matrices, K. Finlayson, Jennifer Seberry
Orthogonal Designs From Negacyclic Matrices, K. Finlayson, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
We study the use of negacyclic matrices to form orthogonal designs and hence Hadamard matrices. We give results for all possible tuple for order 12, all but 3 for order 20 and all but 3 for order 28.
Complex Orthogonal Sequences From Amicable Hadamard Matrices, Le Chung Tran, Jennifer Seberry, Beata J. Wysocki, Tadeusz A. Wysocki, Tianbing Xia, Y. Zhao
Complex Orthogonal Sequences From Amicable Hadamard Matrices, Le Chung Tran, Jennifer Seberry, Beata J. Wysocki, Tadeusz A. Wysocki, Tianbing Xia, Y. Zhao
Faculty of Informatics - Papers (Archive)
The paper deals with the novel technique of designing complex spreading sequences with only four phases (0.257/spl pi/, 0.75/spl pi/, 1.25/spl pi/, 1.75/spl pi/). The interesting feature of those new sequences is the fact that not only the complex sequences are orthogonal but the real parts and imaginary parts are independently orthogonal. This can be utilized for spreading of complex constellation signals where the independent spreading using bipolar sequences (real part for in-phase component and imaginary part for quadrature component) can be applied. The paper introduces the theoretical background, and some example constructions of the amicable Hadamard matrices and the …