Journal ArticleDOI
Capacity of the discrete-time Gaussian channel with intersymbol interference
W. Hirt,J.L. Massey +1 more
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It is proved that, in the limit of increasing block length N, the capacity of the discrete-time Gaussian channel (DTGC) with ISI using a per block average-energy input constraint (N-block DTGC) is indeed also the capacity when using the per symbol average- energy constraint.Abstract:
The discrete-time Gaussian channel with intersymbol interference (ISI) where the inputs are subject to a per symbol average-energy constraint is considered. The capacity of this channel is derived by means of a hypothetical channel model called the N-circular Gaussian channel (NCGC), whose capacity is readily derived using the theory of the discrete Fourier transform. The results obtained for the NCGC are used further to prove that, in the limit of increasing block length N, the capacity of the discrete-time Gaussian channel (DTGC) with ISI using a per block average-energy input constraint (N-block DTGC) is indeed also the capacity when using the per symbol average-energy constraint. >read more
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Fading channels: information-theoretic and communications aspects
TL;DR: This paper describes the statistical models of fading channels which are frequently used in the analysis and design of communication systems, and focuses on the information theory of fading channel, by emphasizing capacity as the most important performance measure.
Journal ArticleDOI
Iterative water-filling for Gaussian vector multiple-access channels
TL;DR: An efficient numerical algorithm to compute the optimal input distribution that maximizes the sum capacity of a Gaussian multiple-access channel with vector inputs and a vector output is proposed.
Journal ArticleDOI
The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel
TL;DR: A model for time-varying communication single-access and multiple-access channels without feedback is presented and the rate of time variation of the channel is related to the loss in mutual information due to imperfect knowledge of the measured channel.
References
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Journal ArticleDOI
Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference
TL;DR: In this paper, a maximum likelihood sequence estimator for a digital pulse-amplitude-modulated sequence in the presence of finite intersymbol interference and white Gaussian noise is developed, which comprises a sampled linear filter, called a whitened matched filter, and a recursive nonlinear processor, called the Viterbi algorithm.
Journal ArticleDOI
On the asymptotic eigenvalue distribution of Toeplitz matrices
TL;DR: This tutorial paper proves the Szegio theorem for the special case of finite-order Toeplitz matrices, which is both simple and intuitive and contains the important concepts involved in the most general case.
Journal ArticleDOI
Partial-Response Signaling
Peter Kabal,Subbarayan Pasupathy +1 more
TL;DR: A PRS system model is introduced which enables the investigation of PRS schemes from the viewpoint of spectral properties such as bandwidth, nulls, and continuity of derivatives and it is shown that eye width, a performance measure that has not been used previously in comparing PRS systems, can be calculated analytically in many cases.
Journal ArticleDOI
Capacity of the Gaussian channel with memory: The multivariate case
L. H. Brandenburg,A.D. Wyner +1 more
TL;DR: A formula is derived for the capacity of a multi-input, multi-output linear channel with memory, and with additive Gaussian noise that shows that channel capacity and cable length are linearly related; for small signal-to-noise ratio, capacity and length are logarithmically related.
Journal ArticleDOI
Trellis Coding for Partial-Response Channels
Jack K. Wolf,G. Ungerboeck +1 more
TL;DR: This work considers trellis-coding techniques for improving the reliability of digital transmission over noisy partial-response channels by using convolutional codes designed for maximum free Hamming distance in conjunction with a precoder to obtain essentially equivalent codes.