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With the evolution from 5G to 6G, ultra-reliable low-latency communication (URLLC) faces increasingly stringent performance requirements. Lower latency constraints demand shorter channel coding lengths, which can severely degrade decoding…

Information Theory · Computer Science 2025-08-07 Yaqi Li , Xiaohu You , Jiamin Li , Chen Ji , Bin Sheng

In this paper, the sphere bound (SB) is revisited within a general bounding framework based on nested Gallager regions. The equivalence is revealed between the SB proposed by Herzberg and Poltyrev and the SB proposed by Kasami et al.,…

Information Theory · Computer Science 2016-10-24 Ma Xiao , Liu Jia , Zhao Shancheng

We consider the decoding of bit interleaved coded modulation (BICM) applied to multiband OFDM for practical scenarios where only a noisy (possibly very bad) estimate of the channel is available at the receiver. First, a decoding metric…

Networking and Internet Architecture · Computer Science 2007-08-13 Sajad Sadough , Pablo Piantanida , Pierre Duhamel

We develop several lower bounds on the capacity of binary input symmetric output channels with synchronization errors which also suffer from other types of impairments such as substitutions, erasures, additive white Gaussian noise (AWGN)…

Information Theory · Computer Science 2012-03-30 Mojtaba Rahmati , Tolga M. Duman

This paper deals with the design of slow-time coded waveforms which jointly optimize the detection probability and the measurements accuracy for track maintenance in the presence of colored Gaussian interference. The output…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Tao Fan , Augusto Aubry , Vincenzo Carotenuto , Antonio De Maio , Xianxiang Yu , Guolong Cui

We propose a technique to design finite-length irregular low-density parity-check (LDPC) codes over the binary-input additive white Gaussian noise (AWGN) channel with good performance in both the waterfall and the error floor region. The…

Information Theory · Computer Science 2016-11-17 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

In this paper, we revisit the design of Raptor codes for binary input additive white Gaussian noise (BIAWGN) channels, where we are interested in very low signal to noise ratios (SNRs). A linear programming degree distribution optimization…

Information Theory · Computer Science 2018-07-13 Mahyar Shirvanimoghaddam , Sarah J. Johnson

We derive a lower and upper bound on the reliability function of discrete memoryless multiple-access channel (MAC) with noiseless feedback and variable-length codes (VLCs). For the upper-bound, we use proof techniques of Burnashev for the…

Information Theory · Computer Science 2018-07-02 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

This paper studies variable-length (VL) source coding of general sources with side-information. Novel one-shot coding theorems for coding with common side-information available at the encoder and the decoder and Slepian- Wolf (SW) coding…

Information Theory · Computer Science 2014-04-09 Shigeaki Kuzuoka , Shun Watanabe

For a stationary additive Gaussian-noise channel with a rational noise power spectrum of a finite-order $L$, we derive two new results for the feedback capacity under an average channel input power constraint. First, we show that a very…

Information Theory · Computer Science 2007-07-13 Shaohua Yang , Aleksandar Kavcic , Sekhar Tatikonda

We consider both channel coding and source coding, with perfect past feedback/feedforward, in the presence of side information. It is first observed that feedback does not increase the capacity of the Gel'fand-Pinsker channel, nor does…

Information Theory · Computer Science 2007-07-13 Neri Merhav , Tsachy Weissman

We consider an additive White Gaussian channel where the transmitter is powered by an energy harvesting source. For such a system, we provide a lower bound on the maximal code book at finite code lengths that improves upon previously known…

Information Theory · Computer Science 2016-01-27 K Gautam Shenoy , Vinod Sharma

We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. We first provide a proof of our recent conjecture on the…

Information Theory · Computer Science 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

Covert communication over an additive white Gaussian noise (AWGN) channel with finite block length is investigated in this paper. The attention is on the covert criterion, which has not been considered in finite block length circumstance.…

Information Theory · Computer Science 2023-05-29 Xinchun Yu , Shuangqin Wei , Yuan Luo

This paper addresses the prediction of error floors of low-density parity-check (LDPC) codes with variable nodes of constant degree in the additive white Gaussian noise (AWGN) channel. Specifically, we focus on the performance of the…

Information Theory · Computer Science 2013-06-11 Brian K. Butler , Paul H. Siegel

The minimum average signal-to-noise ratio (SNR) per bit required for error-free transmission over a fading channel is derived, and is shown to be equal to that of the additive white Gaussian noise (AWGN) channel, which is $-1.6$ dB.…

Information Theory · Computer Science 2017-11-29 K. Vasudevan

This paper is focused on the performance analysis of binary linear block codes (or ensembles) whose transmission takes place over independent and memoryless parallel channels. New upper bounds on the maximum-likelihood (ML) decoding error…

Information Theory · Computer Science 2007-07-13 I. Sason , I. Goldenberg

In this paper, we consider a discrete time linear quadratic Gaussian (LQG) control problem in which state information of the plant is encoded in a variable-length binary codeword at every time step, and a control input is determined based…

Optimization and Control · Mathematics 2016-11-15 Takashi Tanaka , Karl Henrik Johansson , Tobias Oechtering , Henrik Sandberg , Mikael Skoglund

We describe and analyze the joint source/channel coding properties of a class of sparse graphical codes based on compounding a low-density generator matrix (LDGM) code with a low-density parity check (LDPC) code. Our first pair of theorems…

Information Theory · Computer Science 2007-07-13 Martin J. Wainwright , Emin Martinian

The feedback capacity of the stationary Gaussian additive noise channel has been open, except for the case where the noise is white. Here we find the feedback capacity of the stationary first-order moving average additive Gaussian noise…

Information Theory · Computer Science 2007-07-16 Young-Han Kim