An augmented affine projection algorithm for the filtering of noncircular complex signals

Authors:
Yili Xia;Clive Cheong Took;Danilo P. Mandic
Affiliations:
Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK;Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK;Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2BT, UK
Venue:
Signal Processing
Year:
2010

Citing 16
Cited 3

Matrix analysis

Matrix analysis
Recurrent Neural Networks for Prediction: Learning Algorithms,Architectures and Stability

Recurrent Neural Networks for Prediction: Learning Algorithms,Architectures and Stability
Adaptive Filtering: Algorithms and Practical Implementation

Adaptive Filtering: Algorithms and Practical Implementation
Applications of complex augmented kernels to wind profile prediction

ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Widely-linear recursive least-squares algorithm for adaptive beamforming

ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Adaptive IIR filtering of noncircular complex signals

IEEE Transactions on Signal Processing
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models

Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models
A time-domain feedback analysis of filtered-error adaptive gradientalgorithms

IEEE Transactions on Signal Processing
ARMA Prediction of Widely Linear Systems by Using the Innovations Algorithm

IEEE Transactions on Signal Processing - Part II
A set of algorithms linking NLMS and block RLS algorithms

IEEE Transactions on Signal Processing
Advanced methods for I/Q imbalance compensation in communicationreceivers

IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes

IEEE Transactions on Signal Processing
Widely linear estimation with complex data

IEEE Transactions on Signal Processing
Data-aided and blind stochastic gradient algorithms for widely linear MMSE MAI suppression for DS-CDMA

IEEE Transactions on Signal Processing
Mean-square performance of a family of affine projection algorithms

IEEE Transactions on Signal Processing
The multivariate complex normal distribution-a generalization

IEEE Transactions on Information Theory

Linear and nonlinear filters based on the improper Karhunen-Loève expansion

Signal Processing
Linear and nonlinear smoothing algorithms for widely factorizable signals

Signal Processing
A class of quaternion valued affine projection algorithms

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

An augmented affine projection adaptive filtering algorithm (AAPA), utilising the full second order statistical information in the complex domain is proposed. This is achieved based on the widely linear model and the joint optimisation of the direct and conjugate data channel parameters. The analysis illustrates that the use of augmented complex statistics and widely linear modelling makes the AAPA suitable for the processing of both second order complex circular (proper) and noncircular (improper) signals. The derivation is supported by the analysis of convergence in the energy conservation setting. Simulations on both benchmark and real-world noncircular wind signals support the analysis.