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Optimal Communication Systems with Noiseless Feedback for a Binary Source and Band-Limited White Gaussian Channel

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1 Author(s)
Korn, I. ; Israel Inst. of Technology Haifa, Israel

A communication system with noiseless feedback, noisy forward band-limited channel, and binary source is investigated. Each binary symbol m±is represented by a sequence of signals s\pm(y_{k})\varpi (t-k_{\tau }) , the amplitude of which is a function of the a posteriori likelihood ratio Yk. In a sequential receiver a decision is made whenever the likelihood ratio reaches one of two levels Y±; in a nonsequential receiver a decision is assumed after a fixed number of signals is sent. The problem is to design signals s_{\pm}(Y_{k}) , so that given a probability of error and average power the transmission rate is maximized. The problem is solved for both sequential and nonsequential receivers, provided the peak power exceeds some value which is a function of the average power.

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Communication Technology, IEEE Transactions on  (Volume:18 ,  Issue: 1 )