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A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

We investigate the fundamental limits of reliable communication over multi-view channels, in which the channel output is comprised of a large number of independent noisy views of a transmitted symbol. We consider first the setting of…

Information Theory · Computer Science 2024-05-14 V. Arvind Rameshwar , Nir Weinberger

We consider the problem of determining the trade-off between the rate and the block-length of polar codes for a given block error probability when we use the successive cancellation decoder. We take the sum of the Bhattacharyya parameters…

Information Theory · Computer Science 2012-05-15 Ali Goli , S. Hamed Hassani , Rudiger Urbanke

In this paper, we consider the problem of variable-length coding over the class of memoryless binary asymmetric channels (BACs) with noiseless feedback, including the binary symmetric channel (BSC) as a special case. In 2012, Naghshvar et…

Information Theory · Computer Science 2021-12-01 Hengjie Yang , Minghao Pan , Amaael Antonini , Richard D. Wesel

Variable length communication over a compound channel with feedback is considered. Traditionally, capacity of a compound channel without feedback is defined as the maximum rate that is determined before the start of communication such that…

Information Theory · Computer Science 2011-06-30 Aditya Mahajan , Sekhar Tatikonda

In this paper, we study ultra-reliable and low-latency communication (URLLC) under fading using multiple frequency or time bins. We investigate an approach to find an upper-bound on the packet error rate when a finite-length code is used.…

Information Theory · Computer Science 2019-04-08 Jinho Choi

We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent…

Quantum Physics · Physics 2007-05-23 Alexander Barg

We consider the problem of modulation and estimation of a random parameter $U$ to be conveyed across a discrete memoryless channel. Upper and lower bounds are derived for the best achievable exponential decay rate of a general moment of the…

Information Theory · Computer Science 2016-11-17 Neri Merhav

We develop a novel framework for proving converse theorems for channel coding, which is based on the analysis technique of multicast transmission with an additional auxiliary receiver, which serves as a genie to the original receiver. The…

Information Theory · Computer Science 2022-09-02 Anelia Somekh-Baruch

Noncontrollable finite-state channels (FSCs) are FSCs in which the channel inputs have no influence on the channel states, i.e., the channel states evolve freely. Since single-letter formulae for the channel capacities are rarely available…

Information Theory · Computer Science 2016-11-18 Xiujie Huang , Aleksandar Kavcic , Xiao Ma

Existing fixed-length feedback communication schemes are either specialized to particular channels (Schalkwijk--Kailath, Horstein), or apply to general channels but either have high coding complexity (block feedback schemes) or are…

Information Theory · Computer Science 2016-09-08 Cheuk Ting Li , Abbas El Gamal

We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Muriel Medard , Lizhong Zheng

Cryptographic algorithms rely on the secrecy of their corresponding keys. On embedded systems with standard CMOS chips, where secure permanent memory such as flash is not available as a key storage, the secret key can be derived from…

In this paper, we consider the problem of sequential transmission over the binary symmetric channel (BSC) with full, noiseless feedback. Naghshvar et al. proposed a one-phase encoding scheme, for which we refer to as the small-enough…

Information Theory · Computer Science 2020-05-29 Hengjie Yang , Richard D. Wesel

We consider data transmission across discrete memoryless channels (DMCs) using variable-length codes with feedback. We consider the family of such codes whose rates are $\rho_N$ below the channel capacity $C$, where $\rho_N$ is a positive…

Information Theory · Computer Science 2018-05-17 Lan V. Truong , Vincent Y. F. Tan

The Poltyrev bound provides a very tight upper bound on the decoding error probability when using binary linear codes for transmission over the binary symmetric channel and the additive white Gaussian noise channel, making use of the code's…

Information Theory · Computer Science 2025-01-23 Tal Philosof , Ariel Doubchak , Amit Berman , Uri Erez

We consider capacity of discrete-time channels with feedback for the general case where the feedback is a time-invariant deterministic function of the output samples. Under the assumption that the channel states take values in a finite…

Information Theory · Computer Science 2009-09-29 Haim Permuter , Tsachy Weissman , Andrea Goldsmith

We characterize the fundamental limits of transmission of information over a Gaussian multiple access channel (MAC) with the use of variable-length feedback codes and under a non-vanishing error probability formalism. We develop new…

Information Theory · Computer Science 2018-01-10 Lan V. Truong , Vincent Y. F. Tan

We derive upper bounds on the rate of transmission of classical information over quantum channels by block codes with a given blocklength and error probability, for both entanglement-assisted and unassisted codes, in terms of a unifying…

Quantum Physics · Physics 2016-01-01 William Matthews , Stephanie Wehner

We propose a novel system identification technique, based on a least-mean square algorithm, allowing for the estimation of a linear channel by using an unknown-response measurement channel. The key of the technique is a memoryless nonlinear…

Signal Processing · Electrical Eng. & Systems 2021-10-18 Juan I. Bonetti , James Kunst , Damián A. Morero , Mario R. Hueda