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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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楼主: antithetic
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Detection and Communication in Colored Noisetive noise is still gaussian but is no longer assumed to have flat spectral density for all frequencies. Instead, the zero-mean noise is assumed to have covariance function ..(., τ), which is well behaved and strictly positive-definite. Such noises are often called ., or ..
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Introductionpace communications a major constraint is the limitation of transmitter power available on the spacecraft. Or, equivalently, for a given transmitter size, and hence power, we are interested in maximizing the possible range of the spacecraft while still maintaining telemetry transmission to the earth
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Problem Statement for Coherent Channels.1. The information or data usually comes from several analog sources which are sampled, digitalized, and arranged in the form of sequences of binary digits, although in general the digitalized symbols could be elements from a .-ary alphabet. The encoder maps sequences of digits of length . one to o
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General Theoryariational 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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Optimality for Coherent Systems When Dimensionality Is not Specified: Regular Simplex Codingirst 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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Optimality for Coherent Systems When the Dimensionality Is Restricted to , ≤ , − 2uires . − 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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Optimality for Coherent Systems When the Dimensionality Is Restricted to , ≤ , − ,, Where , ≤ ,/2lity, is unrestricted, in which case the solution is the regular simplex signal structure (requiring . − 1 dimensions); (2) where the dimensionality is restricted to be such that it is less than that required for the regular simplex, . ≤ . − 2, in which case the solution consists of two lower-dimens
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