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In this letter, we propose a Gaussian mixture model (GMM)-based channel estimator which is learned on imperfect training data, i.e., the training data are solely comprised of noisy and sparsely allocated pilot observations. In a practical…

Signal Processing · Electrical Eng. & Systems 2023-02-14 Benedikt Fesl , Nurettin Turan , Michael Joham , Wolfgang Utschick

In this work, we use real-world data in order to evaluate and validate a machine learning (ML)-based algorithm for physical layer functionalities. Specifically, we apply a recently introduced Gaussian mixture model (GMM)-based algorithm in…

Information Theory · Computer Science 2022-07-29 Nurettin Turan , Benedikt Fesl , Moritz Grundei , Michael Koller , Wolfgang Utschick

This paper investigates a channel estimator based on Gaussian mixture models (GMMs) in the context of linear inverse problems with additive Gaussian noise. We fit a GMM to given channel samples to obtain an analytic probability density…

Signal Processing · Electrical Eng. & Systems 2022-09-14 Michael Koller , Benedikt Fesl , Nurettin Turan , Wolfgang Utschick

This work introduces a novel class of channel estimators tailored for coarse quantization systems. The proposed estimators are founded on conditionally Gaussian latent generative models, specifically Gaussian mixture models (GMMs), mixture…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Benedikt Fesl , Nurettin Turan , Benedikt Böck , Wolfgang Utschick

This paper investigates a channel estimator based on Gaussian mixture models (GMMs). We fit a GMM to given channel samples to obtain an analytic probability density function (PDF) which approximates the true channel PDF. Then, a conditional…

Information Theory · Computer Science 2021-11-23 Michael Koller , Benedikt Fesl , Nurettin Turan , Wolfgang Utschick

Channel estimation in quantized systems is challenging, particularly in low-resolution systems. In this work, we propose to leverage a Gaussian mixture model (GMM) as generative prior, capturing the channel distribution of the propagation…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Benedikt Fesl , Aziz Banna , Wolfgang Utschick

A novel Gaussian mixture model (GMM) aided sparse Bayesian learning (SBL) framework is proposed for channel state information (CSI) estimation in orthogonal time-frequency space (OTFS) modulated systems. The key attribute of the proposed…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Surbhi Gehlot , Suraj Srivastava , Sandeep Kumar Yadav , Lajos Hanzo

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

We present a method for estimating conditionally Gaussian random vectors with random covariance matrices, which uses techniques from the field of machine learning. Such models are typical in communication systems, where the covariance…

Information Theory · Computer Science 2018-02-07 David Neumann , Thomas Wiese , Wolfgang Utschick

In this work, we utilize a Gaussian mixture model (GMM) to capture the underlying probability density function (PDF) of the channel trajectories of moving mobile terminals (MTs) within the coverage area of a base station (BS) in an offline…

Signal Processing · Electrical Eng. & Systems 2024-02-14 Nurettin Turan , Benedikt Böck , Kai Jie Chan , Benedikt Fesl , Friedrich Burmeister , Michael Joham , Gerhard Fettweis , Wolfgang Utschick

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

In this work, we propose to utilize Gaussian mixture models (GMMs) to design pilots for downlink (DL) channel estimation in frequency division duplex (FDD) systems. The GMM captures prior information during training that is leveraged to…

Signal Processing · Electrical Eng. & Systems 2024-03-27 Nurettin Turan , Benedikt Fesl , Benedikt Böck , Michael Joham , Wolfgang Utschick

We present an approach for efficiently training Gaussian Mixture Model (GMM) by Stochastic Gradient Descent (SGD) with non-stationary, high-dimensional streaming data. Our training scheme does not require data-driven parameter…

Machine Learning · Computer Science 2021-07-05 Alexander Gepperth , Benedikt Pfülb

We propose a versatile feedback scheme for both single- and multi-user multiple-input multiple-output (MIMO) frequency division duplex (FDD) systems. Particularly, we propose utilizing a Gaussian mixture model (GMM) with a reduced number of…

Information Theory · Computer Science 2023-11-29 Nurettin Turan , Benedikt Fesl , Michael Koller , Michael Joham , Wolfgang Utschick

In this work, we study a family of wireless channel simulation models called geometry-based stochastic channel models (GBSCMs). Compared to more complex ray-tracing simulation models, GBSCMs do not require an extensive characterization of…

Information Theory · Computer Science 2018-06-12 Paul Ferrand

We investigate a Gaussian mixture model (GMM) with component means constrained in a pre-selected subspace. Applications to classification and clustering are explored. An EM-type estimation algorithm is derived. We prove that the subspace…

Machine Learning · Statistics 2015-08-27 Mu Qiao , Jia Li

This work focuses on optimizing the hybrid quantum noise model to improve the capacity of Gaussian quantum channels using Machine Learning (ML) generated clusters. The work specifically leverages Gaussian Mixture Model (GMM) and the…

Signal Processing · Electrical Eng. & Systems 2025-01-24 Mouli Chakraborty , Anshu Mukherjee , Ioannis Krikidis , Avishek Nag , Subhash Chandra

Recently, a versatile limited feedback scheme based on a Gaussian mixture model (GMM) was proposed for frequency division duplex (FDD) systems. This scheme provides high flexibility regarding various system parameters and is applicable to…

Information Theory · Computer Science 2023-11-29 Nurettin Turan , Benedikt Fesl , Wolfgang Utschick

In this work we propose an approximate Minimum Mean-Square Error (MMSE) filter for linear dynamic systems with Gaussian Mixture noise. The proposed estimator tracks each component of the Gaussian Mixture (GM) posterior with an individual…

Systems and Control · Computer Science 2015-06-26 Leila Pishdad , Fabrice Labeau
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