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In this paper, we consider the problem of recovering random graph signals with complex values. For general Bayesian estimation of complex-valued vectors, it is known that the widely-linear minimum mean-squared-error (WLMMSE) estimator can…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Alon Amar , Tirza Routtenberg

A lower bound on the minimum mean-squared error (MSE) in a Bayesian estimation problem is proposed in this paper. This bound utilizes a well-known connection to the deterministic estimation setting. Using the prior distribution, the bias…

Information Theory · Computer Science 2009-05-27 Zvika Ben-Haim , Yonina C. Eldar

This paper describes multichannel speech enhancement for improving automatic speech recognition (ASR) in noisy environments. Recently, the minimum variance distortionless response (MVDR) beamforming has widely been used because it works…

The classical unbiasedness condition utilized e.g. by the best linear unbiased estimator (BLUE) is very stringent. By softening the "global" unbiasedness condition and introducing component-wise conditional unbiasedness conditions instead,…

Statistics Theory · Mathematics 2014-12-05 Mario Huemer , Oliver Lang

We consider the problem of learning a dictionary matrix from a number of observed signals, which are assumed to be generated via a linear model with a common underlying dictionary. In particular, we derive lower bounds on the minimum…

Machine Learning · Statistics 2015-07-21 Alexander Jung , Yonina C. Eldar , Norbert Görtz

In this work, we derive a lower bound on the training-based achievable downlink (DL) sum rate (SR) of a multi-user multiple-input-single-output (MISO) system operating in frequency-division-duplex (FDD) mode. Assuming linear minimum mean…

Signal Processing · Electrical Eng. & Systems 2023-12-05 Donia Ben Amor , Michael Joham , Wolfgang Utschick

This paper deals with the implementation of Least Mean Square (LMS) algorithm in Decision Feedback Equalizer (DFE) for removal of Inter Symbol Interference (ISI) at the receiver. The channel disrupts the transmitted signal by spreading it…

Artificial Intelligence · Computer Science 2012-08-13 Mohammad Havaei , Nandivada Krishna Prasad , Velleshala Sudheer

We consider the problem of imaging sparse scenes from a few noisy data using an $l_1$-minimization approach. This problem can be cast as a linear system of the form $A \, \rho =b$, where $A$ is an $N\times K$ measurement matrix. We assume…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

The intelligibility and quality of speech from a mobile phone or public announcement system are often affected by background noise in the listening environment. By pre-processing the speech signal it is possible to improve the speech…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-21 Andreas Jonas Fuglsig , Jesper Jensen , Zheng-Hua Tan , Lars Søndergaard Bertelsen , Jens Christian Lindof , Jan Østergaard

In this article, a new category of soft-input soft-output (SISO) minimum-mean square error (MMSE) finite-impulse response (FIR) decision feedback equalizers (DFEs) with iteration-wise static filters (i.e. iteration variant) is investigated.…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Serdar Şahin , Antonio Maria Cipriano , Charly Poulliat , Marie-Laure Boucheret

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

The minimum weight perfect matching (MWPM) decoder is the standard decoding strategy for quantum surface codes. However, it suffers a harsh decrease in performance when subjected to biased or non-identical quantum noise. In this work, we…

Minimum-volume nonnegative matrix factorization (min-vol NMF) has been used successfully in many applications, such as hyperspectral imaging, chemical kinetics, spectroscopy, topic modeling, and audio source separation. However, its…

Machine Learning · Statistics 2025-11-07 Giovanni Barbarino , Nicolas Gillis , Subhayan Saha

We present a neural network based predictor which is derived by starting from the linear minimum mean squared error (LMMSE) predictor and by further making two key assumptions. With these assumptions, we first derive a weighted sum of LMMSE…

Information Theory · Computer Science 2019-11-19 Nurettin Turan , Wolfgang Utschick

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

Sparse system identification problems often exist in many applications, such as echo interference cancellation, sparse channel estimation, and adaptive beamforming. One of popular adaptive sparse system identification (ASSI) methods is…

Information Theory · Computer Science 2013-11-07 Guan Gui , Shinya Kumagai , Abolfazl Mehbodniya , Fumiyuki Adachi

This paper investigates the mean square error (MSE)-optimal conditional mean estimator (CME) in one-bit quantized systems in the context of channel estimation with jointly Gaussian inputs. We analyze the relationship of the generally…

Information Theory · Computer Science 2023-06-28 Benedikt Fesl , Michael Koller , Wolfgang Utschick

In this paper, we consider the mixed and componentwise condition numbers for a linear function of the solution to the linear least squares problem with equality constrains (LSE). We derive the explicit expressions of the mixed and…

Numerical Analysis · Mathematics 2016-12-13 Huai-An Diao

In this paper, we propose a sparse signal estimation algorithm that is suitable for many wireless communication systems, especially for the future millimeter wave and underwater communication systems. This algorithm is not only…

Information Theory · Computer Science 2018-07-20 Chongwen Huang , Lei Liu , Chau Yuen

A distributed adaptive algorithm for estimation of sparse unknown parameters in the presence of nonGaussian noise is proposed in this paper based on normalized least mean fourth (NLMF) criterion. At the first step, local adaptive NLMF…

Information Theory · Computer Science 2015-12-09 Mojtaba Hajiabadi
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