65 research outputs found
Information transfer through disordered media by diffuse waves
We consider the information content h of a scalar multiple-scattered, diffuse
wave field and the information capacity C of a communication
channel that employs diffuse waves to transfer the information through a
disordered medium. Both h and C are shown to be directly related to the
mesoscopic correlations between the values of at different
positions in space, arising due to the coherent nature of the wave.
For the particular case of a communication channel between two identical linear
arrays of equally-spaced transmitters/receivers (receiver spacing a),
we show that the average capacity and obtain explicit analytic
expressions for in the limit of and ,
where , is the wavelength, and is the mean
free path. Modification of the above results in the case of finite but large n
and is discussed as well.Comment: REVTeX 4, 12 pages, 7 figure
Theory of Minimum Mean‐Square‐Error QAM Systems Employing Decision Feedback Equalization
Decision feedback equalization is presently of interest as a technique for reducing intersymbol interference in high‐rate PAM data communications systems. The basic principle is to cancel out intersymbol interference arising from previously decided data symbols at the receiver, leaving remaining intersymbol interference components to be handled by linear equalization. In this work we consider the application of decision feedback equalization to quadrature‐amplitude modulation (QAM) transmission, in which two independent information streams modulate quadrature carriers. Extending Salz's treatment in a companion paper of decision feedback for a baseband channel, we derive the form of the optimum receiver filters via a matrix Wiener‐Hopf analysis. We obtain explicit analytical expressions for minimum mean‐square error and optimum transmitting filters. The optimization is subject to a constraint on the transmitted signal power and assumes no prior decision errors. The class of QAM transmitter and receiver structures treated here is actually much larger than the class usually considered for QAM systems. However, our results for decision feedback equalization show that, for nonexcess bandwidth systems, optimum performance is achievable without taking advantage of the most general structure. If the transmitter is required to have the conventional QAM structure, study of the time continuous system that gives rise to the sampled data system considered here demonstrates that under quite general assumptions a nonexcess bandwidth system is optimum. Finally, the explicit description of the optimum transmitting matrix filter follows from an information‐theoretic “water‐pouring” algorithm in conjunction with the determination of the form of the points of maxima of a determinant extremal problem
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