Title
A Complexity-Reduced ML Parametric Signal Reconstruction Method
Abstract
The problem of component estimation from a multicomponent signal in additive white Gaussian noise is considered. A parametric ML approach, where all components are represented as a multiplication of a polynomial amplitude and polynomial phase term, is used. The formulated optimization problem is solved via nonlinear iterative techniques and the amplitude and phase parameters for all components are reconstructed. The initial amplitude and the phase parameters are obtained via time-frequency techniques. An alternative method, which iterates amplitude and phase parameters separately, is proposed. The proposed method reduces the computational complexity and convergence time significantly. Furthermore, by using the proposed method together with Expectation Maximization (EM) approach, better reconstruction error level is obtained at low SNR. Though the proposed method reduces the computations significantly, it does not guarantee global optimum. As is known, these types of non-linear optimization algorithms converge to local minimum and do not guarantee global optimum. The global optimum is initialization dependent.
Year
DOI
Venue
2011
10.1155/2011/875132
EURASIP J. Adv. Sig. Proc.
Keywords
Field
DocType
signal reconstruction
Polynomial,Expectation–maximization algorithm,Algorithm,Parametric statistics,Artificial intelligence,Initialization,Additive white Gaussian noise,Optimization problem,Machine learning,Signal reconstruction,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
2011
1
1687-6180
Citations 
PageRank 
References 
1
0.37
11
Authors
4
Name
Order
Citations
PageRank
Zeynel Deprem111.38
Kemal Leblebicioglu2229.82
Orhan Arikan318039.45
A. Enis Çetin4871118.56