Ferrer Contreras, M.; Gonzalez, A.; Diego Antón, MD.; Piñero Sipán, MG. (2012). Fast exact variable order affine projection algorithm. Signal Processing. 92(9):2308-2314. https://doi.org/10.1016/j.sigpro.2012.03.007
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/44996
Title:
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Fast exact variable order affine projection algorithm
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Author:
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Ferrer Contreras, Miguel
Gonzalez, Alberto
Diego Antón, María de
Piñero Sipán, María Gemma
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UPV Unit:
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Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
Universitat Politècnica de València. Instituto Universitario de Telecomunicación y Aplicaciones Multimedia - Institut Universitari de Telecomunicacions i Aplicacions Multimèdia
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Issued date:
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Abstract:
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Variable order affine projection algorithms have been recently presented to be used when not only the convergence speed of the algorithm has to be adjusted but also its computational cost and its final residual error. These ...[+]
Variable order affine projection algorithms have been recently presented to be used when not only the convergence speed of the algorithm has to be adjusted but also its computational cost and its final residual error. These kind of affine projection (AP) algorithms improve the standard AP algorithm performance at steady state by reducing the residual mean square error. Furthermore these algorithms optimize computational cost by dynamically adjusting their projection order to convergence speed requirements. The main cost of the standard AP algorithm is due to the matrix inversion that appears in the coefficient update equation. Most efforts to decrease the computational cost of these algorithms have focused on the optimization of this matrix inversion. This paper deals with optimization of the computational cost of variable order AP algorithms by recursive calculation of the inverse signal matrix. Thus, a fast exact variable order AP algorithm is proposed. Exact iterative expressions to calculate the inverse matrix when the algorithm projection order either increases or decreases are incorporated into a variable order AP algorithm leading to a reduced complexity implementation. The simulation results show the proposed algorithm performs similarly to the variable order AP algorithms and it has a lower computational complexity. © 2012 Elsevier B.V. All rights reserved.
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Subjects:
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Adaptive filters
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Affine projection algorithm
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Computational complexity
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Efficient matrix inversion
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Fast algorithm
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Affine projection algorithms
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AP algorithm
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Computational costs
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Convergence speed
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Fast algorithms
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Inverse matrix
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Matrix inversions
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Recursive calculations
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Reduced complexity
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Residual error
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Signal matrix
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Steady state
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Variable order
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Algorithms
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Audio systems
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Costs
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Inverse problems
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Matrix algebra
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Optimization
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Computational efficiency
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Signal Processing. (issn:
0165-1684
)
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DOI:
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10.1016/j.sigpro.2012.03.007
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.sigpro.2012.03.007
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Project ID:
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info:eu-repo/grantAgreement/GVA//ACOMP%2F2010%2F006/
info:eu-repo/grantAgreement/GVA//GV%2F2010%2F027/
info:eu-repo/grantAgreement/MICINN//TEC2009-13741/ES/Spatial Audio Systems Based On Massive Parallel Processing Of Multichannel Acoustic Signals With General Purpose-Graphics Processing Units (Gp-Gpu) And Multicores/ /
info:eu-repo/grantAgreement/GVA//PROMETEO09%2F2009%2F013/ES/Computacion de altas prestaciones sobre arquitecturas actuales en porblemas de procesado múltiple de señal/
info:eu-repo/grantAgreement/UPV//PAID-06-09/ES/PAID-06-09/ /
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Thanks:
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Partially supported by TEC2009-13741, PROMETEO 2009/0013, GV/ 2010/027, ACOMP/2010/006 and UPV PAID-06-09.
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Type:
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Artículo
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