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The problem of estimating an arbitrary random vector from its observation corrupted by additive white Gaussian noise, where the cost function is taken to be the Minimum Mean $p$-th Error (MMPE), is considered. The classical Minimum Mean…

Information Theory · Computer Science 2016-07-07 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai

We consider channel estimation for an uplink massive multiple-input multiple-output (MIMO) system where the base station (BS) uses an array with low-resolution (1-2 bit) analog-to-digital converters and a spatial Sigma-Delta…

Signal Processing · Electrical Eng. & Systems 2021-07-15 Shilpa Rao , Gonzalo Seco-Granados , Hessam Pirzadeh , Josef A. Nossek , A. Lee Swindlehurst

In this paper, we propose a coordinated pilot design method to minimize the channel estimation mean squared error (MSE) in 1-bit analog-to-digital converters (ADCs) massive multiple-input multiple-output (MIMO). Under the assumption that…

Signal Processing · Electrical Eng. & Systems 2025-11-14 Hyeongtak Yun , Juntaek Han , Kaiming Shen , Jeonghun Park

In this paper, the problem of training optimization for estimating a multiple-input multiple-output (MIMO) flat fading channel in the presence of spatially and temporally correlated Gaussian noise is studied in an application-oriented…

Massive MIMO communication systems, by virtue of utilizing very large number of antennas, have a potential to yield higher spectral and energy efficiency in comparison with the conventional MIMO systems. In this paper, we consider uplink…

Information Theory · Computer Science 2015-07-30 Alam Zaib , Mudassir Masood , Anum Ali , Weiyu Xu , Tareq Y. Al-Naffouri

This paper is concerned with channel estimation in MIMO systems with few-bit ADCs. In these systems, a linear minimum mean-squared error (MMSE) channel estimator obtained in closed-form is not an optimal solution. We first consider a deep…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Duy H. N. Nguyen

Cognitive radios have been proposed as agile technologies to boost the spectrum utilization. This paper tackles the problem of channel estimation and its impact on downlink transmissions in an underlay cognitive radio scenario. We consider…

Information Theory · Computer Science 2015-05-11 Maha Alodeh , Symeon Chatzinotas , Bjorn Ottersten

The integration of reconfigurable intelligent surfaces (RIS) with extremely large multiple-input multiple-output (MIMO) arrays at the base station has emerged as a key enabler for enhancing wireless network performance. However, this setup…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Ahmad Dkhan , Simon Tarboush , Hadi Sarieddeen , Tareq Y. Al-Naffouri

Low-resolution quantization is essential to reduce implementation cost and power consumption in massive multiple-input multiple-output (MIMO) systems for 5G and 6G. While most existing studies assume perfect channel state information (CSI),…

Signal Processing · Electrical Eng. & Systems 2025-12-18 Reza Mohammadkhani , Azad Azizzadeh , Seyed Vahab Al-Din Makki , John Thompson , Maziar Nekovee

This paper investigates the robust wideband channel estimation problem in the millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems. In such a scenario, the beam squint effect that the array response vectors vary…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Li Ge , Lin Chen , Xue Jiang , Weifeng Zhu , Qibo Qin , Xingzhao Liu

The minimum mean square error of the estimation of a non Gaussian signal where observed from an additive white Gaussian noise channel's output, is analyzed. First, a quite general time-continuous channel model is assumed for which the…

Information Theory · Computer Science 2010-02-04 Jacob Binia

Channel estimation problem is one of the key technical issues in time-variant multiple-input single-output (MSIO) communication systems. To estimate the MISO channel, least mean square (LMS) algorithm is applied to adaptive channel…

Information Theory · Computer Science 2013-02-07 Guan Gui , Wei Peng , Abolfazl Mehbodniya , Fumiyuki Adachi

We analyze the problem of estimating a signal from multiple measurements on a $\mbox{group action channel}$ that linearly transforms a signal by a random group action followed by a fixed projection and additive Gaussian noise. This channel…

Information Theory · Computer Science 2018-01-16 Emmanuel Abbe , João M. Pereira , Amit Singer

As the array dimension of massive MIMO systems increases to unprecedented levels, two problems occur. First, the spatial stationarity assumption along the antenna elements is no longer valid. Second, the large array size results in an…

Information Theory · Computer Science 2024-01-25 Tianyu Yang , Johannes Maly , Sjoerd Dirksen , Giuseppe Caire

Large-scale MIMO systems with a massive number N of individually controlled antennas pose significant challenges for minimum mean square error (MMSE) channel estimation, based on uplink pilots. The major ones arise from the computational…

Information Theory · Computer Science 2024-10-07 Giacomo Bacci , Antonio Alberto D'Amico , Luca Sanguinetti

Building upon the statistical formulation for parameter estimation (PE) in the presence of correlated noise proposed by Cireddu et al., we present the initial study to incorporate the effects of correlated noise into the analyses of various…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Isaac C. F. Wong , Peter T. H. Pang , Milan Wils , Francesco Cireddu , Walter Del Pozzo , Tjonnie G. F. Li

In continuation to a recent work on the statistical--mechanical analysis of minimum mean square error (MMSE) estimation in Gaussian noise via its relation to the mutual information (the I-MMSE relation), here we propose a simple and more…

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

We present the analysis of a single-carrier massive MIMO system for the frequency selective Gaussian multi-user channel, in both uplink and downlink directions. We develop expressions for the achievable sum rate when there is spatial…

Information Theory · Computer Science 2019-10-10 Nader Beigiparast , Gokhan M. Guvensen , Ender Ayanoglu

This paper considers a sequential sensor scheduling and remote estimation problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process and makes a…

Optimization and Control · Mathematics 2016-10-19 Xiaobin Gao , Emrah Akyol , Tamer Basar

This paper focuses on channel estimation for mmWave MIMO systems with 1-bit spatial sigma-delta analog-to-digital converters (ADCs). The channel estimation performance with 1-bit spatial sigma-delta ADCs depends on the quantization noise…

Signal Processing · Electrical Eng. & Systems 2020-10-26 R. S. Prasobh Sankar , Sundeep Prabhakar Chepuri