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Mrs. Gerber's Lemma lower bounds the entropy at the output of a binary symmetric channel in terms of the entropy of the input process. In this paper, we lower bound the output entropy via a different measure of input uncertainty, pertaining…

Information Theory · Computer Science 2015-06-02 Or Ordentlich , Ofer Shayevitz

In the transmission of digital data at a relatively high rate over a particular band limited channel, it is normally necessary to employ an equalizer at the receiver in order to correct the signal distortion introduced by the channel .ISI…

Information Theory · Computer Science 2014-03-18 Laith Awda Kadhim , Salih Mohammed , Osamah Saad

Adaptive signal processing systems, commonly utilized in applications such as active noise control and acoustic echo cancellation, often encompass nonlinearities due to hardware components such as loudspeakers, microphones, and amplifiers.…

Signal Processing · Electrical Eng. & Systems 2024-12-13 Seiji Miyoshi , Yua Yamaguchi

This paper focuses on the minimum mean squared error (MMSE) channel estimator for multiple-input multiple-output (MIMO) systems with one-bit quantization at the receiver side. Despite its optimality and significance in estimation theory,…

Information Theory · Computer Science 2025-01-23 Minhua Ding , Italo Atzeni , Antti Tölli , A. Lee Swindlehurst

We consider linear precoding and decoding in the downlink of a multiuser multiple-input, multiple-output (MIMO) system, wherein each user may receive more than one data stream. We propose several mean squared error (MSE) based criteria for…

Information Theory · Computer Science 2009-02-10 Adam J. Tenenbaum , Raviraj S. Adve

Purpose: Many useful image quality metrics for evaluating linear image reconstruction techniques do not apply to or are difficult to interpret for non-linear image reconstruction. The vast majority of metrics employed for evaluating…

Integrated sensing and communication is regarded as a key enabler for next-generation wireless networks. To optimize the transmitted waveform for both sensing and communication, various performance metrics must be considered. This work…

This paper formulates and studies a general distributed field reconstruction problem using a dense network of noisy one-bit randomized scalar quantizers in the presence of additive observation noise of unknown distribution. A constructive…

Information Theory · Computer Science 2009-11-13 Ye Wang , Prakash Ishwar , Venkatesh Saligrama

Aggressive frequency reuse in the return link (RL) of multibeam satellite communications (SatComs) is crucial towards the implementation of next generation, interactive satellite services. In this direction, multiuser detection has shown…

Information Theory · Computer Science 2012-11-27 Dimitrios Christopoulos , Jesus Arnau , Symeon Chatzinotas , Carlos Mosquera , Bjorn Ottersten

In this paper, the minimum mean square error (MMSE) channel estimation for intelligent reflecting surface (IRS) assisted wireless communication systems is investigated. In the considered setting, each row vector of the equivalent channel…

Information Theory · Computer Science 2021-04-06 Mangqing Guo , M. Cenk Gursoy

This paper proposes a novel Bayesian reciprocity calibration method that consistently ensures uplink and downlink channel reciprocity in repeater-assisted multiple-input multiple-output (MIMO) systems. The proposed algorithm is formulated…

Signal Processing · Electrical Eng. & Systems 2026-02-06 Shoma Hara , Takumi Takahashi , Hiroki Iimori , Hideki Ochiai , Erik G. Larsson

In this paper, we propose a minimum mean square error (MMSE) based transceiver design scheme for a downlink multiple-input multiple-output (MIMO) two-tier heterogeneous network with general linear equality per-cell power constraints. Three…

Information Theory · Computer Science 2018-04-20 Zhannan Li , Hangsong Yan , I-Tai Lu

Massive multi-user (MU) multiple-input multiple-output (MIMO) promises significant gains in spectral efficiency compared to traditional, small-scale MIMO technology. Linear equalization algorithms, such as zero forcing (ZF) or minimum…

Information Theory · Computer Science 2018-11-12 Charles Jeon , Kaipeng Li , Joseph R. Cavallaro , Christoph Studer

This paper considers probabilistic estimation of a low-rank matrix from non-linear element-wise measurements of its elements. We derive the corresponding approximate message passing (AMP) algorithm and its state evolution. Relying on…

Information Theory · Computer Science 2016-04-19 Thibault Lesieur , Florent Krzakala , Lenka Zdeborová

A formal mean square error expansion (MSE) is derived for Euler--Maruyama numerical solutions of stochastic differential equations (SDE). The error expansion is used to construct a pathwise a posteriori adaptive time stepping…

Numerical Analysis · Mathematics 2015-07-16 Håkon Hoel , Juho Häppölä , Raúl Tempone

A family of explicit modified Euler methods (MEMs) is constructed for long-time approximations of super-linear SODEs driven by multiplicative noise. The proposed schemes can preserve the same Lyapunov structure as the continuous problems.…

Numerical Analysis · Mathematics 2025-09-11 Zhihui Liu , Xiaojie Wang , Xiaoming Wu , Xiaoyan Zhang

Coping with distributional shifts is an important part of transfer learning methods in order to perform well in real-life tasks. However, most of the existing approaches in this area either focus on an ideal scenario in which the data does…

Machine Learning · Computer Science 2023-07-26 Luis Pedro Silvestrin , Shujian Yu , Mark Hoogendoorn

When recovering a sparse signal from noisy compressive linear measurements, the distribution of the signal's non-zero coefficients can have a profound effect on recovery mean-squared error (MSE). If this distribution was apriori known, then…

Information Theory · Computer Science 2015-06-05 Jeremy P. Vila , Philip Schniter

We present new fundamental results for the mean square error (MSE)-optimal conditional mean estimator (CME) in one-bit quantized systems for a Gaussian mixture model (GMM) distributed signal of interest, possibly corrupted by additive white…

Signal Processing · Electrical Eng. & Systems 2024-07-02 Benedikt Fesl , Wolfgang Utschick

This paper studies the problem of hybrid holographic beamforming for sum-rate maximization in a communication system assisted by a reconfigurable holographic surface. Existing methodologies predominantly rely on gradient-based or…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Chandan Kumar Sheemar , Wali Ullah Khan , George C. Alexandropoulos , Manzoor Ahmed , Symeon Chatzinotas