Search for dissertations about: "random matrix."

Showing result 21 - 25 of 123 swedish dissertations containing the words random matrix..

2. 21. Data driven modeling in the presence of time series structure: : Improved bounds and effective algorithms

   Author : Othmane Mazhar; Boualem Djehiche; Munther Dahleh; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Time series; Non-asymptotic estimation; Minimax; Change point detection; Hidden Markov model; State space model; Least square; Penalized Regression; Random covariance matrix; Concentration inequality; Chaining integral; Self-normalized martingale inequality; Cramér-Rao inequality; van Trees inequality; Matematisk statistik; Mathematical Statistics;

   Abstract : This thesis consists of five appended papers devoted to modeling tasks where the desired models are learned from data sets with an underlying time series structure. We develop a statistical methodology for providing efficient estimators and analyzing their non-asymptotic behavior. READ MORE

4. 22. Massive MIMO Systems with Hardware Imperfections

   Author : Nikolaos Kolomvakis; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; achievable rate; analogue-to-digital converter; Massive MIMO; channel estimation; in-phase and quadrature imbalance; random matrix theory;

   Abstract : Recent years have witnessed an unprecedented explosion in mobile data traffic, due to the expansion of numerous types of wireless devices. Moreover, each device needs a high throughput to support demanding applications such as real-time video, movie streaming and games. READ MORE

5. 23. On the Impact of Phase Noise in Communication Systems –- Performance Analysis and Algorithms

   Author : Rajet Krishnan; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Oscillator; phase noise; sum-product algorithm SPA ; random matrix theory; variational Bayesian method; massive MIMO; symbol error probability; maximum a posteriori MAP detection; constellations; extended Kalman filter EKF ; maximum likelihood ML detection; mutual information; multiple-input multiple-output MIMO ; factor graph; free probability.;

   Abstract : The mobile industry is preparing to scale up the network capacity by a factor of 1000x in order to cope with the staggering growth in mobile traffic. As a consequence, there is a tremendous pressure on the network infrastructure, where more cost-effective, flexible, high speed connectivity solutions are being sought for. READ MORE

6. 24. Large deviations of condition numbers of random matrices

   Author : Denise Uwamariya; Xiangfeng Yang; Martin Singull; Dietrich von Rosen; Filip Lindskog; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : Random matrix theory has found many applications in various fields such as physics, statistics, number theory and so on. One important approach of studying random matrices is based on their spectral properties. In this thesis, we investigate the limiting behaviors of condition numbers of suitable random matrices in terms of large deviations. READ MORE

7. 25. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence

   Author : Jolanta Maria Pielaszkiewicz; Dietrich von Rosen; Martin Singull; Maciej A. Nowak; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral distribution; R-transform; Stieltjes transform; Free probability; Freeness; Asymptotic freeness;

   Abstract : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). READ MORE