The geometry of fusion inspired channel design

This paper is motivated by the problem of integrating multiple sources of measurements. We consider two multiple-input–multiple-output (MIMO) channels, a primary channel and a secondary channel, with dependent input signals. The primary channel carries the signal of interest, and the secondary chann...

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Vydané v:Signal processing Ročník 99; s. 136 - 146
Hlavní autori: Wang, Yuan, Wang, Haonan, Scharf, Louis L.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.06.2014
Elsevier
Predmet:
Algorithms
Applied sciences
Approximation
Channels
Computer simulation
Criteria
Detection, estimation, filtering, equalization, prediction
Embedded submanifold
Exact sciences and technology
Information fusion
Information theory
Information, signal and communications theory
Manifolds
Mathematical analysis
MIMO channel design
Mutual information
Optimization
Signal and communications theory
Signal, noise
Telecommunications and information theory
Two-channel system
Embedded submanifold
MIMO channel design
Mutual information
Information fusion
Two-channel system
Performance evaluation
MIMO system
Information integration
Input signal
Two channel system
Joint distribution
Optimization
Simulation
Optimal solution
Information processing
Analytical method
Signal processing
Data fusion
Euclidean space
Fast algorithm
Approximate solution
ISSN:0165-1684, 1872-7557
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Popis
Shrnutí:This paper is motivated by the problem of integrating multiple sources of measurements. We consider two multiple-input–multiple-output (MIMO) channels, a primary channel and a secondary channel, with dependent input signals. The primary channel carries the signal of interest, and the secondary channel carries a signal that shares a joint distribution with the primary signal. The problem of particular interest is designing the secondary channel matrix, when the primary channel matrix is fixed. We formulate the problem as an optimization problem, in which the optimal secondary channel matrix maximizes an information-based criterion. An analytical solution is provided in a special case. Two fast-to-compute algorithms, one extrinsic and the other intrinsic, are proposed to approximate the optimal solutions in general cases. In particular, the intrinsic algorithm exploits the geometry of the unit sphere, a manifold embedded in Euclidean space. The performances of the proposed algorithms are examined through a simulation study. A discussion of the choice of dimension for the secondary channel is given. •Orthogonal decomposition, generalized signal-to-noise-ratio matrix.•Factorization of the optimal channel matrix.•Mercury/waterfilling interpretation for power allocation.•Extrinsic and intrinsic gradient search algorithm.•Minimum dimension of the secondary measurement.
Bibliografia:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2013.12.015