Data transmission system using optimal eight-vector signaling sc

Telegraphy – Systems – Alternating or pulsating current

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325 30, H04L 2718

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039885399

ABSTRACT:
In a system for transmitting information between first and second data processing apparatuses, a signaling scheme provides a digital data signal with in-phase components and quadrature components which define a plurality of vectors. The vectors, when plotted on a graph having an abscissa and an ordinate, each have a minimum separation distance defined by the radius of a circle having its center at the tip of the associated vector. The circles of the vectors, which are aligned in rows substantially parallel to the abscissa or the ordinate of the graph, are tangential to the adjacent circles. Boundary areas associated with the respective vectors are defined by boundary lines extensions of which pass through points defined by the vector components. This signaling scheme minimizes vector magnitude, associated with minimum power, while maximizing vector separation distance, associated with reduced detection error.

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IEEE Transactions on Communications, vol. COM-22, No. 1, Jan. 1974, pp. 28-38, "Optimization of Two Dimensional Signal Constellations in the Presence of Gaussian Noise," Foschini, Gitlin and Weinstein.

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