Abstract
An [M, n] spherical signal set is a collectionℒ ofM unit-norm vectors in the Euclideann-dimensional space ℛn. Itsconfiguration matrix C is the matrix of the scalar products between pairs of vectors.ℒ isgeometrically uniform if, given any two vectors x i , x j εℒ there exists an isometry that transforms x i to x j while leavingℒ invariant. Agenerating group of ℒ is a group of isometries of ℛn that transform any given vector ofℒ into each of the vectors inℒ while leavingℒ invariant. In this paper we characterize the configuration matrix of a geometrically uniform spherical signal set and we show how its generating groups can be obtained.
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Elia, M., Biglieri, E. The generating groups of geometrically uniform spherical signal sets. AAECC 3, 163–181 (1992). https://doi.org/10.1007/BF01268658
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DOI: https://doi.org/10.1007/BF01268658