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ICASSP
2011
IEEE
13 years 3 months ago
Complex random matrices and multiple-antenna spectrum sensing
In this paper, we study the eigenvalue-based spectrum sensing techniques for multiple-antenna cognitive radio networks. First, we study the extreme eigenvalue distributions of a c...
Tharmalingam Ratnarajah, Caijun Zhong, Ayse Kortun...
SIAMMAX
2010
92views more  SIAMMAX 2010»
13 years 6 months ago
Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
Abstract. In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) (2AT +Q+A)z = 0, where A, Q Cn
Chun-Hua Guo, Wen-Wei Lin
JCAM
2010
173views more  JCAM 2010»
13 years 6 months ago
A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method
The Sakurai-Sugiura projection method, which solves a generalized eigenvalue problem to find certain eigenvalues in a given domain, was reformulated by using the resolvent theory....
Tsutomu Ikegami, Tetsuya Sakurai, Umpei Nagashima
MOC
2000
83views more  MOC 2000»
13 years 11 months ago
A hierarchical method for obtaining eigenvalue enclosures
We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The metho...
E. B. Davies
ECCC
2000
117views more  ECCC 2000»
13 years 11 months ago
On Testing Expansion in Bounded-Degree Graphs
We consider testing graph expansion in the bounded-degree graph model. Specifically, we refer to algorithms for testing whether the graph has a second eigenvalue bounded above by a...
Oded Goldreich, Dana Ron
TSP
2008
76views more  TSP 2008»
13 years 11 months ago
Eigenvalue Beamforming Using a Multirank MVDR Beamformer and Subspace Selection
Abstract--We derive eigenvalue beamformers to resolve an unknown signal of interest whose spatial signature lies in a known subspace, but whose orientation in that subspace is othe...
Ali Pezeshki, B. D. Van Veen, Louis L. Scharf, H. ...
COMBINATORICS
2007
79views more  COMBINATORICS 2007»
13 years 11 months ago
On the Spectrum of the Derangement Graph
We derive several interesting formulae for the eigenvalues of the derangement graph and use them to settle affirmatively a conjecture of Ku regarding the least eigenvalue.
Paul Renteln
EJC
2010
13 years 11 months ago
The spread of the unicyclic graphs
Let G be a simple connected graph with n vertices and n edges which we call an unicyclic graph. In this paper, we first investigate the least eigenvalue n(G), then we present two ...
Yarong Wu, Jinlong Shu
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 11 months ago
Eigenvalue Results for Large Scale Random Vandermonde Matrices with Unit Complex Entries
Abstract--This paper centers on the limit eigenvalue distribution for random Vandermonde matrices with unit magnitude complex entries. The phases of the entries are chosen independ...
Gabriel H. Tucci, Philip A. Whiting
AMC
2010
126views more  AMC 2010»
13 years 11 months ago
On condition numbers of polynomial eigenvalue problems
In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix pertur...
Nikolaos Papathanasiou, Panayiotis Psarrakos