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In the transmission of digital data at a relatively high rate over a particular band limited channel, it is normally necessary to employ an equalizer at the receiver in order to correct the signal distortion introduced by the channel .ISI…

Information Theory · Computer Science 2014-03-18 Laith Awda Kadhim , Salih Mohammed , Osamah Saad

Channel decoding is a challenging task in communication channels exhibiting memory effects. In this work, we apply the recently proposed decoding paradigm of guessing random additive noise decoding (GRAND) to channels with memory, focusing…

Information Theory · Computer Science 2026-03-12 Zhuang Li , Wenyi Zhang

This is the second part of the two-part paper considering the communications under the bursty mixed noise composed of white Gaussian noise and colored non-Gaussian impulsive noise. In the first part, based on Gaussian distribution and…

Signal Processing · Electrical Eng. & Systems 2024-05-10 Tianfu Qi , Jun Wang , Zexue Zhao

In this paper, we investigate the use of recurrent neural network (RNN)-based detection of magnetic recording channels with inter-symbol interference (ISI). We refer to the proposed detection method, which is intended for recording channels…

Information Theory · Computer Science 2020-08-03 Simeng Zheng , Yi Liu , Paul H. Siegel

This paper considers the problem of channel coding over Gaussian intersymbol interference (ISI) channels with a given metric decoding rule. Specifically, it is assumed that the mismatched decoder has an incorrect assumption on the impulse…

Information Theory · Computer Science 2017-06-20 Wasim Huleihel , Salman Salamatian , Neri Merhav , Muriel Médard

Provable lower bounds are presented for the information rate I(X; X+S+N) where X is the symbol drawn from a fixed, finite-size alphabet, S a discrete-valued random variable (RV) and N a Gaussian RV. The information rate I(X; X+S+N) serves…

Information Theory · Computer Science 2011-10-04 Seongwook Jeong , Jaekyun Moon

A classical problem in digital communications is to evaluate the symbol error probability (SEP) and bit error probability (BEP) of a multidimensional constellation over an additive white Gaussian noise channel. In this paper, we revisit…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell , Fredrik Brännström

The deployment of massive MIMO systems has revived much of the interest in the study of the large-system performance of multiuser detection systems. In this paper, we prove a non-trivial upper bound on the bit-error rate (BER) of the MAP…

Information Theory · Computer Science 2019-03-12 Christos Thrampoulidis , Ilias Zadik , Yury Polyanskiy

Provable lower bounds are presented for the information rate I(X; X+S+N) where X is the symbol drawn independently and uniformly from a finite-size alphabet, S is a discrete-valued random variable (RV) and N is a Gaussian RV. It is well…

Information Theory · Computer Science 2011-10-05 Seongwook Jeong , Jaekyun Moon

Inter-symbol interference (ISI) with heteroscedastic, or state-dependent, noise is a defining feature of molecular communication via diffusion (MCvD). However, such noise variance dependency across ISI states has not been systematically…

Information Theory · Computer Science 2026-03-09 Erencem Ozbey , H. Birkan Yilmaz , Chan-Byoung Chae

We consider the problem of estimating an input signal from noisy measurements in both parallel scalar Gaussian channels and linear mixing systems. The performance of the estimation process is quantified by the $\ell_\infty$ norm error…

Information Theory · Computer Science 2013-04-23 Jin Tan , Dror Baron , Liyi Dai

We propose an approximation of maximum-likelihood detection in ISI channels based on linear programming or message passing. We convert the detection problem into a binary decoding problem, which can be easily combined with LDPC decoding. We…

Information Theory · Computer Science 2016-11-18 Mohammad H. Taghavi , Paul H. Siegel

Identification of latent binary sequences from a pool of noisy observations has a wide range of applications in both statistical learning and population genetics. Each observed sequence is the result of passing one of the latent…

Statistics Theory · Mathematics 2018-11-28 Khashayar Gatmiry , Seyed Abolfazl Motahari

In this paper, we provide a new approach to the analytical estimation of the bit-error rate (BER) for convolutional codes for Viterbi decoding in the binary symmetric channel (BSC). The expressions we obtained for lower and upper BER bounds…

Information Theory · Computer Science 2022-11-22 Anastasia Kurmukova , Fedor Ivanov , Victor Zyablov

This paper studies a class of stochastic and time-varying Gaussian intersymbol interference~(ISI) channels. The probability law for the~$i^{th}$ channel tap during time slot~$t$ is supported over an interval of centre $c_i$ and radius~$…

Information Theory · Computer Science 2022-08-16 Kamyar Moshksar

We consider a molecular communication system comprised of a transmitter, an absorbing receiver, and an interference source. Assuming amplitude modulation, we analyze the dependence of the bit error rate (BER) on the detection interval,…

Information Theory · Computer Science 2020-05-05 Trang Ngoc Cao , Nikola Zlatanov , Phee Lep Yeoh , Jamie S. Evans

Iterative message passing detection based on expectation propagation(EP) has demonstrated near-optimum performance in many signal processing and communication scenarios. The method remains feasible even for channel impulse responses (CIRs),…

Information Theory · Computer Science 2025-09-23 Jannis Clausius , Luca Schmid , Laurent Schmalen , Stephan ten Brink

In this paper, we propose a new upper bound on the error probability performance of maximum-likelihood (ML) detection. The proposed approach provides a much tighter upper bound when compared to the traditionally used union bound, especially…

Information Theory · Computer Science 2022-08-01 Tian Han , Rajitha Senanayake , Peter Smith , Jamie Evans

We consider a high-dimensional mean estimation problem over a binary hidden Markov model, which illuminates the interplay between memory in data, sample size, dimension, and signal strength in statistical inference. In this model, an…

Statistics Theory · Mathematics 2022-10-13 Yihan Zhang , Nir Weinberger

The joint detection uses Kalman filtering (KF) to estimate the prior probability of control outputs to assist channel decoding. In this paper, we regard the joint detection as maximum a posteriori (MAP) decoding and derive the lower and…

Information Theory · Computer Science 2026-01-13 Jinnan Piao , Dong Li , Zhibo Li , Ming Yang , Xueting Yu , Jincheng Dai
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