Title
Adaptive Newton algorithms for blind equalization using the generalized constant modulus criterion
Abstract
Two Newton-type algorithms using the generalized complex modulus (GCM) criterion for blind equalization and carrier phase recovery are proposed. First the partial Hessian and full Hessian of the real GCM loss function with complex valued arguments are calculated by second-order differential. Then an adaptive pseudo Newton learning algorithm and a full Newton learning algorithm are designed. By using the matrix inversion lemma, both Newton algorithms can be implemented with a computational complexity of O(L2) efficiently, where L is the length of equalizer. Simulation results demonstrate that the two Newton algorithms can achieve automatic carrier phase recovery and exhibit fast convergence rates.
Year
DOI
Venue
2009
10.1109/ICASSP.2009.4960206
ICASSP
Keywords
Field
DocType
generalized constant modulus criterion,full hessian,partial hessian,full newton,generalized complex modulus,carrier phase recovery,newton algorithm,automatic carrier phase recovery,blind equalization,adaptive pseudo,adaptive newton algorithm,real gcm loss function,steady state,algorithm design and analysis,automation,computational complexity,newton method,convergence rate,convergence,adaptive signal processing,computational modeling,matrix inversion lemma,loss function,stochastic processes,data mining
Convergence (routing),Mathematical optimization,Algorithm design,Hessian matrix,Algorithm,Woodbury matrix identity,Adaptive filter,Blind equalization,Mathematics,Computational complexity theory,Newton's method
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
wenjun zeng12029220.14
Xi-Lin Li254734.85
Xianda Zhang380968.13