Dirac delta function of matrix argument

L Zhang - International Journal of Theoretical Physics, 2021 - Springer
Dirac delta function of matrix argument is employed frequently in the development of diverse
fields such as Random Matrix Theory, Quantum Information Theory, etc. The purpose of the …

Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type

G Akemann, N Aygün, TR Würfel - Journal of Mathematical Physics, 2024 - pubs.aip.org
We generalise well-known integrals of Ingham-Siegel and Fisher-Hartwig type over the
unitary group U (N) with respect to Haar measure, for finite N and including fixed external …

Fully PolSAR image classification using machine learning techniques and reaction-diffusion systems

L Gomez, L Alvarez, L Mazorra, AC Frery - Neurocomputing, 2017 - Elsevier
In this paper, we study the problem of supervised Fully PolSAR (polarimetric synthetic
aperture radar) image classification. We estimate a complex Wishart model distribution for …

Distributed massive MIMO systems with non-reciprocal channels: Impacts and robust beamforming

A Minasian, S Shahbazpanahi… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Hardware calibration is essential to restore the uplink/downlink channel reciprocity for multi-
user massive multiple-input multiple-output (MIMO) systems operating in a time division …

On the exact and approximate eigenvalue distribution for sum of Wishart matrices

GF Pivaro, S Kumar, G Fraidenraich… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The sum of Wishart matrices has an important role in multiple-input multiple-output (MIMO)
multiple access channel (MAC) and MIMO relay channel. In this paper, we present a new …

Expected Values of Scalar-Valued Functions of a Complex Wishart Matrix

DK Nagar, A Roldán-Correa, S Nadarajah - Mathematics, 2023 - mdpi.com
The complex Wishart distribution has ample applications in science and engineering. In this
paper, we give explicit expressions for E (tr (W h)) g (tr (W j)) i and E (tr (W− h)) g (tr (W− j)) i …

Spherical functions approach to sums of random Hermitian matrices

ABJ Kuijlaars, P Román - International Mathematics Research …, 2019 - academic.oup.com
We present an approach to sums of random Hermitian matrices via the theory of spherical
functions for the Gelfand pair. It is inspired by a similar approach of Kieburg and Kösters for …

Spectral statistics for the difference of two Wishart matrices

S Kumar, SS Charan - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
In this work, we consider the weighted difference of two independent complex Wishart
matrices and derive the joint probability density function of the corresponding eigenvalues in …

On RRH placement for multi-user distributed massive MIMO systems

A Minasian, RS Adve, S Shahbazpanahi… - IEEE …, 2018 - ieeexplore.ieee.org
In a distributed massive multiple-input multiple-output (DM-MIMO) system, a large number of
antennas are distributed across multiple remote radio heads (RRHs) within the coverage …

Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances

G Akemann, T Checinski… - Journal of Physics A …, 2016 - iopscience.iop.org
We compute the spectral statistics of the sum H of two independent complex Wishart
matrices, each of which is correlated with a different covariance matrix. Random matrix …