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We study message identification over the noisy permutation channel. For discrete memoryless channels (DMCs), the number of identifiable messages grows doubly exponentially, and the maximum second-order exponent is same as the Shannon…

Information Theory · Computer Science 2025-06-18 Abhishek Sarkar , Bikash Kumar Dey

This work is motivated by a quite general question: Under which circumstances are the capacities of information transmission systems continuous? The research is explicitly carried out on arbitrarily varying quantum channels (AVQCs). We give…

Quantum Physics · Physics 2015-06-18 H. Boche , J. Noetzel

In our previous work, we presented the \emph{Hypothesis Testing Lemma}, a key tool that establishes sufficient conditions for the existence of good deterministic identification (DI) codes for memoryless channels with finite output, but…

Information Theory · Computer Science 2025-07-25 Pau Colomer , Christian Deppe , Holger Boche , Andreas Winter

The capacity of a network in which a multiple access channel (MAC) generates interference to a single-user channel is studied. An achievable rate region based on superposition coding and joint decoding is established for the discrete case.…

Information Theory · Computer Science 2012-09-06 Fangfang Zhu , Xiaohu Shang , Biao Chen , H. Vincent Poor

We show that the Extrinsic Information about the coded bits of any good (capacity achieving) code operating over a wide class of discrete memoryless channels (DMC) is zero when channel capacity is below the code rate and positive constant…

Information Theory · Computer Science 2007-07-13 Michael Peleg , Amichai Sanderovich , Shlomo Shamai

We characterize the capacity region to within 2 bits/s/Hz and the symmetric capacity to within 1 bit/s/Hz for the two-user Gaussian interference channel (IC) with feedback. We develop achievable schemes and derive a new outer bound to…

Information Theory · Computer Science 2010-05-20 Changho Suh , David Tse

This paper concerns the capacity of the discrete noiseless channel introduced by Shannon. A sufficient condition is given for the capacity to be well-defined. For a general discrete noiseless channel allowing non-integer valued symbol…

Information Theory · Computer Science 2010-06-11 Georg Bocherer , Valdemar Cardoso da Rocha Junior , Cecilio Pimentel

This paper considers reliable communications over a multiple-input multiple-output (MIMO) Gaussian channel, where the channel matrix is within a bounded channel uncertainty region around a nominal channel matrix, i.e., an instance of the…

Information Theory · Computer Science 2013-06-05 Yin Sun , C. Emre Koksal , Ness B. Shroff

Communication systems are usually designed by assuming perfect channel state information (CSI). However, in many practical scenarios, only a noisy estimate of the channel is available, which may strongly differ from the true channel. This…

Information Theory · Computer Science 2009-06-10 Pablo Piantanida , Gerald Matz , Pierre Duhamel

Memoryless channels with deletion errors as defined by a stochastic channel matrix allowing for bit drop outs are considered in which transmitted bits are either independently deleted with probability $d$ or unchanged with probability…

Information Theory · Computer Science 2012-11-13 Mojtaba Rahmati , Tolga M. Duman

We consider the arbitrarily varying Gaussian relay channel with sender frequency division. We determine the random code capacity, and establish lower and upper bounds on the deterministic code capacity. It is observed that when the channel…

Information Theory · Computer Science 2018-06-01 Uzi Pereg , Yossef Steinberg

Calculating the capacity (with or without feedback) of channels with memory and continuous alphabets is a challenging task. It requires optimizing the directed information (DI) rate over all channel input distributions. The objective is a…

Information Theory · Computer Science 2020-05-19 Ziv Aharoni , Dor Tsur , Ziv Goldfeld , Haim Henry Permuter

Identification capacity has been established as a relevant performance metric for various goal-/task-oriented applications, where the receiver may be interested in only a particular message that represents an event or a task. For example,…

Information Theory · Computer Science 2025-08-27 Mohammad Javad Salariseddigh , Heinz Koeppl , Holger Boche , Vahid Jamali

We determine both the random code capacity region and the deterministic code capacity region of the arbitrarily varying multiple access channel (AVMAC) under input and state constraints. As in the single user case, the boundary of the…

Information Theory · Computer Science 2020-07-03 Uzi Pereg , Yossef Steinberg

Here we discuss message identification, a problem formalized by Rudolf Ahlswede and Gunter Dueck, over a classical-quantum multiple access channel with two classical senders and one quantum receiver. We show that the simultaneous…

Quantum Physics · Physics 2018-12-11 Holger Boche , Stephen Diadamo

Identification in quantum communication enables receivers to verify the presence of a message without decoding its entire content. While identification capacity has been explored for classical and finite-dimensional quantum channels, its…

Quantum Physics · Physics 2025-12-02 Zuhra Amiri , Janis Nötzel

We consider three capacity definitions for general channels with channel side information at the receiver, where the channel is modeled as a sequence of finite dimensional conditional distributions not necessarily stationary, ergodic, or…

Information Theory · Computer Science 2016-11-17 Michelle Effros , Andrea Goldsmith , Yifan Liang

In contrast to Shannon transmission codes, the size of identification (ID) codes for discrete memoryless channels (DMCs) experiences doubly exponential growth with the block length when randomized encoding is used. Additional enhancements…

Information Theory · Computer Science 2024-08-21 Yaning Zhao , Wafa Labidi , Holger Boche , Eduard Jorswieck , Christian Deppe

Motivated by deterministic identification via classical channels, where the encoder is not allowed to use randomization, we revisit the problem of identification via quantum channels but now with the additional restriction that the message…

Quantum Physics · Physics 2024-10-01 Pau Colomer , Christian Deppe , Holger Boche , Andreas Winter

In this paper the cognitive interference channel with a common message, a variation of the classical cognitive interference channel in which the cognitive message is decoded at both receivers, is studied. For this channel model new outer…

Information Theory · Computer Science 2012-08-21 Stefano Rini , Carolin Huppert