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A Foundation in Digital Communication
The book emphasizes the geometric view, opening with the inner product, the matched filter for its computation, Parseval's theorem, the sampling theorem as an orthonormal expansion, the isometry between passband signals and their baseband representation, and the spectral-efficiency optimality of Quadrature Amplitude Modulation (QAM). Subsequent chapters address noise, with a comprehensive study of hypothesis testing, Gaussian stochastic processes, the sufficiency of the matched filter outputs, and some coding theory. New is a treatment of white noise without generalized functions and a rigorous presentation of the power spectral density without artificial random jitters and random phases in the analysis of QAM.
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