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Non-orthogonal communications play an important role in future communication architectures. In such scenarios, the received signal is corrupted by an interfering signal which is typically cyclostationary in continuous-time. If the period of…

Information Theory · Computer Science 2019-10-18 Nir Shlezinger , Emeka Abakasanga , Ron Dabora , Yonina C. Eldar

We study linear chance-constrained problems where the coefficients follow a Gaussian mixture distribution. We provide mixed-binary quadratic programs that give inner and outer approximations of the chance constraint based on piecewise…

Optimization and Control · Mathematics 2025-11-24 Shibshankar Dey , Sanjay Mehrotra , Anirudh Subramanyam

An example is given of a qubit quantum channel which requires four inputs to maximize the Holevo capacity. The example is one of a family of channels which are related to 3-state channels. The capacity of the product channel is studied and…

Quantum Physics · Physics 2007-05-23 Masahito Hayashi , Hiroshi Imai , Keiji Matsumoto , Mary Beth Ruskai , Toshiyuki Shimono

Through refined asymptotic analysis based on the normal approximation, we study how higher-order coding performance depends on the mean power as well as on finer statistics of the input power. We introduce a multifaceted power model in…

Information Theory · Computer Science 2026-05-13 Adeel Mahmood , Aaron B. Wagner

The arbitrarily varying channel (AVC) is a conservative way of modeling an unknown interference, and the corresponding capacity results are pessimistic. We reconsider the Gaussian AVC by relaxing the classical model and thereby weakening…

Information Theory · Computer Science 2012-09-14 Anand D. Sarwate , Michael Gastpar

We consider a continuous-time bandlimited additive white Gaussian noise channel with 1-bit output quantization. On such a channel the information is carried by the temporal distances of the zero-crossings of the transmit signal. The set of…

Information Theory · Computer Science 2017-09-25 Sandra Bender , Meik Dörpinghaus , Gerhard Fettweis

If moments of singular measures are passed as inputs to the entropy maximization procedure, the optimization algorithm might not terminate. The framework developed in our previous paper demonstrated how input moments of measures, on a broad…

Complex Variables · Mathematics 2020-05-08 Marko Budišić , Mihai Putinar

We investigate the capacity of bosonic quantum channels for the transmission of quantum information. Achievable rates are determined from measurable moments of the channel by showing that every channel can asymptotically simulate a Gaussian…

Quantum Physics · Physics 2009-11-13 Michael M. Wolf , David Perez-Garcia , Geza Giedke

This paper first focuses on deriving an alternative approach for proving an extremal entropy inequality (EEI), originally presented in [11]. The proposed approach does not rely on the channel enhancement technique, and has the advantage…

Information Theory · Computer Science 2012-11-21 Sangwoo Park , Erchin Serpedin , Khalid Qaraqe

In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system size goes to infinity. The conjecture is proven in this paper for…

Quantum Physics · Physics 2009-11-13 I. Csiszar , F. Hiai , D. Petz

Upper bounds on the capacity of vector Gaussian channels affected by fading are derived under peak amplitude constraints at the input. The focus is on constraint regions that can be decomposed in a Cartesian product of sub-regions. This…

Information Theory · Computer Science 2022-07-05 Antonino Favano , Marco Ferrari , Maurizio Magarini , Luca Barletta

In many wireless communication systems, radios are subject to a duty cycle constraint, that is, a radio only actively transmits signals over a fraction of the time. For example, it is desirable to have a small duty cycle in some low power…

Information Theory · Computer Science 2012-09-24 Lei Zhang , Hui Li , Dongning Guo

Optimal coding over the additive white Gaussian noise channel under the peak energy constraint is studied when there is noisy feedback over an orthogonal additive white Gaussian noise channel. As shown by Pinsker, under the peak energy…

Information Theory · Computer Science 2011-08-19 Yu Xiang , Young-Han Kim

This paper adds to the understanding of the capacity region of the Gaussian interference channel. To this end, the capacity region of the one-sided Gaussian interference channel is first fully characterized. This is accomplished by…

Information Theory · Computer Science 2015-09-22 Mojtaba Vaezi , H. Vincent Poor

This paper considers the derivative of the entropy rate of a hidden Markov process with respect to the observation probabilities. The main result is a compact formula for the derivative that can be evaluated easily using Monte Carlo…

Information Theory · Computer Science 2010-01-11 Henry D. Pfister

The asymptotic capacity at low input powers of an average-power limited or an average- and peak-power limited discrete-time Poisson channel is considered. For a Poisson channel whose dark current is zero or decays to zero linearly with its…

Information Theory · Computer Science 2008-10-21 Amos Lapidoth , Jeffrey H. Shapiro , Vinodh Venkatesan , Ligong Wang

For two-user interference channels, the capacity is known for the case where interference is stronger than the desired signal. Moreover, it is known that if the interference is above a certain level, it does not reduce the capacity at all.…

Information Theory · Computer Science 2012-06-21 Frederic Knabe , Aydin Sezgin

This work deals with the asymptotic distribution of both potentials and couplings of entropic regularized optimal transport for compactly supported probabilities in $\R^d$. We first provide the central limit theorem of the Sinkhorn…

Probability · Mathematics 2024-06-06 Alberto Gonzalez-Sanz , Jean-Michel Loubes , Jonathan Niles-Weed

Quantum capacity quantifies the amount of quantum information that can be transmitted by a quantum channel with an arbitrary small probability of error. Mathematically, the quantum capacity is given by an asymptotic formula involving the…

Quantum Physics · Physics 2025-12-30 Zhen Wu , Zhihao Ma , James Fullwood

An abstraction for multisensor communication termed the Gaussian Multiplex Channel is presented and analyzed. In this model, the sensor outputs can be added together in any combination through a network of switches, and the combinations can…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Daniel R. Fuhrmann , Muhammad Fahad