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Titlebook: Elements of Detection and Signal Design; Charles L. Weber Textbook 1987Latest edition Springer-Verlag New York Inc. 1987 Modulation.Phase.

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M. D. Lechner,K. Gehrke,E. H. Nordmeierl set consisting of equal spacing of the . vectors around the unit circle is the optimum, and that this optimal choice is independent of the signal-to-noise ratio. We shall then look into the question of whether it is possible to have two suboptimal signal sets, say, S.; . = 1,…, . and S’.; . = 1, …
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M. D. Lechner,E. H. Nordmeier,K. Gehrkeariational approach, that of reducing the problem to one of minimizing a functional on a convex set in euclidean space (or a subset thereof described by constraints). In this sense it opens up some new and general solutions to the signal-design problem.
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M. D. Lechner,E. H. Nordmeier,K. Gehrkeirst known results on the optimality of the regular simplex signal structure when no restrictions are placed on the dimensionality of the signal space. We now develop these results for their own interests, as well as their applicability to the general problem with constraints on the dimensionality .
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M. D. Lechner,K. Gehrke,E. H. Nordmeieruires . − 1 degrees of freedom. We now extend Balakrishnan’s variational theory of the signal-design problem to provide optimal signal sets for the case where the dimensionality is restricted to be less than . − 1. In particular, we now reduce by 1 the allowed degrees of freedom from that required f
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978-1-4612-9150-3Springer-Verlag New York Inc. 1987
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