Non-parametric detection of the number of signals: Hypothesis testing and random matrix theory

S Kritchman, B Nadler - IEEE Transactions on Signal …, 2009 - ieeexplore.ieee.org
Detection of the number of signals embedded in noise is a fundamental problem in signal
and array processing. This paper focuses on the non-parametric setting where no …

Optshrink: An algorithm for improved low-rank signal matrix denoising by optimal, data-driven singular value shrinkage

RR Nadakuditi - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
The truncated singular value decomposition of the measurement matrix is the optimal
solution to the representation problem of how to best approximate a noisy measurement …

Performance analysis of an improved MUSIC DoA estimator

P Vallet, X Mestre, P Loubaton - IEEE Transactions on Signal …, 2015 - ieeexplore.ieee.org
This paper addresses the statistical performance of subspace DoA estimation using a
sensor array, in the asymptotic regime where the number of samples and sensors both …

Determining the number of components in a factor model from limited noisy data

S Kritchman, B Nadler - Chemometrics and Intelligent Laboratory Systems, 2008 - Elsevier
Determining the number of components in a linear mixture model is a fundamental problem
in many scientific fields, including chemometrics and signal processing. In this paper we …

A nonlocal similarity learning-based tensor completion model with its application in intelligent transportation system

C Dai, Y Zhang, Z Zheng - IEEE Transactions on Intelligent …, 2023 - ieeexplore.ieee.org
Predicting the traffic flow has been one of the most important applications in intelligent
transportation system. However, the missing information in the traffic data will directly affect …

Nonparametric detection of signals by information theoretic criteria: Performance analysis and an improved estimator

B Nadler - IEEE Transactions on Signal Processing, 2010 - ieeexplore.ieee.org
Determining the number of sources from observed data is a fundamental problem in many
scientific fields. In this paper we consider the nonparametric setting, and focus on the …

Source enumeration via MDL criterion based on linear shrinkage estimation of noise subspace covariance matrix

L Huang, HC So - IEEE Transactions on Signal Processing, 2013 - ieeexplore.ieee.org
Numerous methodologies have been investigated for source enumeration in sample-
starving environments. For those having their root in the framework of random matrix theory …

Nested vector-sensor array processing via tensor modeling

K Han, A Nehorai - IEEE Transactions on Signal Processing, 2014 - ieeexplore.ieee.org
We propose a new class of nested vector-sensor arrays which is capable of significantly
increasing the degrees of freedom (DOF). This is not a simple extension of the nested scalar …

Detection of the number of signals by signal subspace matching

M Wax, A Adler - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
We present a novel and computationally simple solution to the problem of detecting the
number of signals, which is applicable to both white and colored noise, and to a very small …

Asymptotic power of sphericity tests for high-dimensional data

A Onatski, MJ Moreira, M Hallin - 2013 - projecteuclid.org
Asymptotic power of sphericity tests for high-dimensional data Page 1 The Annals of Statistics
2013, Vol. 41, No. 3, 1204–1231 DOI: 10.1214/13-AOS1100 © Institute of Mathematical …