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We show that Reed-Muller codes achieve capacity under maximum a posteriori bit decoding for transmission over the binary erasure channel for all rates $0 < R < 1$. The proof is generic and applies to other codes with sufficient amount of…

信息论 · 计算机科学 2015-05-22 Shrinivas Kudekar , Marco Mondelli , Eren Şaşoğlu , Rüdiger Urbanke

The input-constrained binary erasure channel (BEC) with strictly causal feedback is studied. The channel input sequence must satisfy the $(0,k)$-runlength limited (RLL) constraint, i.e., no more than $k$ consecutive `$0$'s are allowed. The…

信息论 · 计算机科学 2017-12-08 Ori Peled , Oron Sabag , Haim H. Permuter

We study the capacity region of the two-user Binary Fading (or Erasure) Interference Channel where the transmitters have no knowledge of the channel state information. We develop new inner-bounds and outer-bounds for this problem. We…

信息论 · 计算机科学 2017-03-28 Alireza Vahid , Mohammad Ali Maddah-Ali , Amir Salman Avestimehr , Yan Zhu

The problem of mismatched decoding for discrete memoryless channels is addressed. A mismatched cognitive multiple-access channel is introduced, and an inner bound on its capacity region is derived using two alternative encoding methods:…

信息论 · 计算机科学 2013-05-03 Anelia Somekh-Baruch

Assuming iterative decoding for binary erasure channels (BECs), a novel tree-based technique for upper bounding the bit error rates (BERs) of arbitrary, finite low-density parity-check (LDPC) codes is provided and the resulting bound can be…

信息论 · 计算机科学 2007-07-13 Chih-Chun Wang , Sanjeev R. Kulkarni , H. Vincent Poor

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

信息论 · 计算机科学 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

In this paper, we present a novel way for solving the main problem of designing the capacity approaching irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC). The proposed method is much simpler, faster,…

信息论 · 计算机科学 2021-03-02 H. Tavakoli , M. Ahmadian Attari , M. R. Peyghami

This paper studies the capacities of input-driven finite-state channels, i.e., channels whose current state is a time-invariant deterministic function of the previous state and the current input. We lower bound the capacity of such a…

信息论 · 计算机科学 2020-02-12 V. Arvind Rameshwar , Navin Kashyap

The two-receiver broadcast packet erasure channel with feedback and memory is studied. Memory is modeled using a finite-state Markov chain representing a channel state. Outer and inner bounds on the capacity region are derived when the…

信息论 · 计算机科学 2014-11-11 Michael Heindlmaier , Navid Reyhanian , Shirin Saeedi Bidokhti

The two-user broadcast channel (BC) with receivers connected by bidirectional cooperation links of finite capacities, known as conferencing decoders, is considered. A novel capacity region outer bound is established based on multiple…

信息论 · 计算机科学 2025-08-12 Reza K. Farsani , Wei Yu

This paper shows that the logarithm of the epsilon-error capacity (average error probability) for n uses of a discrete memoryless channel is upper bounded by the normal approximation plus a third-order term that does not exceed 1/2 log n +…

信息论 · 计算机科学 2013-10-25 Marco Tomamichel , Vincent Y. F. Tan

For most discrete memoryless channels, there does not exist a linear code for the channel which uses all of the channel's input symbols. Therefore, linearity of the code for such channels is a very restrictive condition and there should be…

信息论 · 计算机科学 2011-02-17 Aria Ghasemian Sahebi , S. Sandeep Pradhan

We obtain a new upper bound on the capacity of a class of discrete memoryless relay channels. For this class of relay channels, the relay observes an i.i.d. sequence $T$, which is independent of the channel input $X$. The channel is…

信息论 · 计算机科学 2008-10-07 Ravi Tandon , Sennur Ulukus

We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

信息论 · 计算机科学 2014-06-16 A. Papadopoulos , L. Georgiadis

We generalize the random coding argument of stabilizer codes and derive a lower bound on the quantum capacity of an arbitrary discrete memoryless quantum channel. For the depolarizing channel, our lower bound coincides with that obtained by…

量子物理 · 物理学 2007-05-23 Ryutaroh Matsumoto , Tomohiko Uyematsu

In this paper, we derive outer bounds on the capacity region of two classes of the general two-user discrete memoryless broadcast channels with side-information at the transmitter. The first class comprises the classical broadcast channel…

信息论 · 计算机科学 2011-10-11 K. G. Nagananda , Chandra R Murthy , Shalinee Kishore

We use the idea of dependence balance to obtain a new outer bound for the capacity region of the discrete memoryless multiple access channel with noiseless feedback (MAC-FB). We consider a binary additive noisy MAC-FB whose feedback…

信息论 · 计算机科学 2016-11-17 Ravi Tandon , Sennur Ulukus

Degraded K-user broadcast channels (BC) are studied when receivers are facilitated with cache memories. Lower and upper bounds are derived on the capacity-memory tradeoff, i.e., on the largest rate of reliable communication over the BC as a…

信息论 · 计算机科学 2017-02-28 Shirin Saeedi Bidokhti , Michele Wigger , Aylin Yener

We study the problem of communicating over a discrete memoryless two-way channel using non-adaptive schemes, under a zero probability of error criterion. We derive single-letter inner and outer bounds for the zero-error capacity region,…

信息论 · 计算机科学 2021-09-13 Yujie Gu , Ofer Shayevitz

In this paper, the duality of erasures and defects will be investigated by comparing the binary erasure channel (BEC) and the binary defect channel (BDC). The duality holds for channel capacities, capacity achieving schemes, minimum…

信息论 · 计算机科学 2019-12-25 Yongjune Kim , B V K Vijaya Kumar