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Affine combinations of adaptive filters

Renato Candido, Magno T. M. Silva, Vitor H. Nascimento
2008 2008 42nd Asilomar Conference on Signals, Systems and Computers  
We extend the analysis presented in [1] for the affine combination of two least mean-square (LMS) filters to allow for colored inputs and nonstationary environments.  ...  Through the analysis, we observe that the affine combination of two algorithms of the same family with close adaptation parameters (stepsizes or forgetting factors) provides a 3 dB gain in relation to  ...  Fig. 1 . 1 Affine combination of two transversal adaptive filters.  ... 
doi:10.1109/acssc.2008.5074399 fatcat:j2dnr43ponhzxla7pl3ier6w5e

A New Approach to Extract Fetal Electrocardiogram Using Affine Combination of Adaptive Filters [article]

Yu Xuan, Xiangyu Zhang, Shuyue Stella Li, Zihan Shen, Xin Xie, Leibny Paola Garcia, Roberto Togneri
2023 arXiv   pre-print
In this paper, we introduce a new method based on affine combinations of adaptive filters to extract FECG signals.  ...  The affine combination of multiple filters is able to precisely fit the reference signal, and thus obtain more accurate FECGs.  ...  METHODOLOGY Fig 2 shows the general scheme of an affine combination of two adaptive filters. Filter 1 and Filter 2 can be either LMS or RLS.  ... 
arXiv:2210.11658v4 fatcat:qvbfseisffcf3dfaox2fzm7blq

Comparison of convex combination and affine combination of adaptive filters

Alper T. Erdogan, Suleyman S. Kozat, Andrew C. Singer
2009 2009 IEEE International Conference on Acoustics, Speech and Signal Processing  
In the area of combination of adaptive filters, two main approaches, namely convex and affine combinations have been introduced.  ...  Index Termsadaptive filtering, combination of adaptive filters, projection to unit simplex minimize J c (ω c ) = σ 2 d − p T R −1 p + (ω c − ωo) T R(ω c − ωo) subject to 1 T ω a = 1 ω c ≥ 0.  ...  AFFINE AND CONVEX COMBINATION OF ADAPTIVE FILTERS Data Model We assume that there are m adaptive filtering branches with (zero mean) outputs y k (t), k = 1, . . . , m to be combined.  ... 
doi:10.1109/icassp.2009.4960277 dblp:conf/icassp/ErdoganKS09 fatcat:b22n75e5ljhddavlhywze5ybbm

Affine Combination of Two Adaptive Sparse Filters for Estimating Large Scale MIMO Channels [article]

Guan Gui, Li Xu
2014 arXiv   pre-print
First, problem formulation and standard affine combination of adaptive least mean square (LMS) algorithm are introduced.  ...  Then we proposed an effective affine combination method with two sparse LMS filters and designed an approximate optimum affine combiner according to stochastic gradient search method as well.  ...  Fig. 2 . 2 Affine combination of two adaptive filters for estimating large-scale MIMO channels. Fig  hx , , i  12 are independent.  ... 
arXiv:1407.6083v1 fatcat:7u6tf6jl5feuxfoyerw67difra

Two are Better Than One: Adaptive Sparse System Identification using Affine Combination of Two Sparse Adaptive Filters [article]

Guan Gui, Shinya Kumagai, Abolfazl Mehbodniya, Fumiyuki Adachi
2013 arXiv   pre-print
and standard affine combination of LMS filters.  ...  First, problem formulation and standard affine combination of LMS filters are introduced.  ...  ACKNOWLEDGMENT This work was supported by grant-in-aid for the Japan Society for the Pro motion of Science (JSPS) fellows grant number 24 02366.  ... 
arXiv:1311.1312v1 fatcat:ferj4ofzxzhuxn3f7s3luapulq

Reducing of EMSE Using Affine Combination of Adaptive Filters
English

2014 International Journal of Research and Applications  
We propose an adaptive affine combination of two adaptive filters in that combination select one is fast and one slow. In this paper we proposed LMS, NMLS and CMA algorithm technique.  ...  The resulting combination should profit than single filter technique.  ...  Fig. 2 . 2 Affine combination of two signals. Fig. 3 . 3 Ensemble average of n(n) adapted with the N-LMS algorithm. Fig1.  ... 
doi:10.17812/ijra.1.2(13)2014 fatcat:b7ktm2ztlbbghlfr76z376fk5q

Normalized Combinations of Proportionate Affine Projection Sign Subband Adaptive Filter

Tong An, Tao Zhang, Yanzhang Geng, Haiquan Jiao
2021 Scientific Programming  
The proportionate affine projection sign subband adaptive filter (PAP-SSAF) has a better performance than the affine projection sign subband adaptive filter (AP-SSAF) when we eliminate the echoes.  ...  In order to solve this problem, we propose a normalized combination of PAP-SSAF (NCPAP-SSAF) based on the normalized adaption schema.  ...  Acknowledgments is work was supported in part by the National Natural Science Foundation of China (61350009), and in part by the National Natural Science Foundation of China 61179045.  ... 
doi:10.1155/2021/8826868 doaj:1f42cc0cd048474fa6933bf8b03ff809 fatcat:fpx4prv67rhzxco4epm54jelue

An affine combination of adaptive filters for channels with different sparsity levels

Maksim Butsenko, Tõnu Trump
2016 Telfor Journal  
We also demonstrate that affine combination results in faster convergence than a convex combination of two adaptive filters.  ...  In this paper we present an affine combination strategy for two adaptive filters.  ...  Fig. 7 . 7 Mixing parameter λ of convex and affine combination filters. Fig. 8 . 8 Learning curves of the affine combination filter with different γ-s.  ... 
doi:10.5937/telfor1601032b fatcat:6affcui7sncjhfeasfvrc7petu

Steady State Analysis of Convex Combination of Affine Projection Adaptive Filters

S. Radhika, Sivabalan Arumugam
2015 Research Journal of Applied Sciences Engineering and Technology  
For this purpose, we have used two affine projection adaptive filters with complementary nature (both in step size and projection order) as the component filters.  ...  The aim of the study is to propose an adaptive algorithm using convex combinational approach to have both fast convergence and less steady state error simultaneously.  ...  But none satisfies all the requirement of an adaptive filter.  ... 
doi:10.19026/rjaset.10.2554 fatcat:g2zf6z4ke5htdglb5mbqjyflie

Steady-State Performance of an Adaptive Combined MISO Filter Using the Multichannel Affine Projection Algorithm

Danilo Comminiello, Michele Scarpiniti, Luis Azpicueta-Ruiz, Aurelio Uncini
2018 Algorithms  
The combination of adaptive filters is an effective approach to improve filtering performance.  ...  In this paper, we investigate the performance of an adaptive combined scheme between two adaptive multiple-input single-output (MISO) filters, which can be easily extended to the case of multiple outputs  ...  In this paper, we focus on the combination of adaptive filters in the multichannel case.  ... 
doi:10.3390/a12010002 fatcat:ajymvzmeczflnghtfuy46y472q

An Affine Combination of Two LMS Adaptive Filters—Transient Mean-Square Analysis

N.J. Bershad, J.C.M. Bermudez, J.-Y. Tourneret
2008 IEEE Transactions on Signal Processing  
This paper studies the statistical behavior of an affine combination of the outputs of two least mean-square (LMS) adaptive filters that simultaneously adapt using the same white Gaussian inputs.  ...  The purpose of the combination is to obtain an LMS adaptive filter with fast convergence and small steady-state mean-square deviation (MSD).  ...  of the combined adaptive filter.  ... 
doi:10.1109/tsp.2007.911486 fatcat:bcovu4dig5dubg7arwaeycjbfi

Two Are Better Than One: Adaptive Sparse System Identification Using Affine Combination of Two Sparse Adaptive Filters

Guan Gui, Shinya Kumagai, Abolfazl Mehbodniya, Fumiyuki Adachi
2014 2014 IEEE 79th Vehicular Technology Conference (VTC Spring)  
and standard affine combination of LMS filters.  ...  First, problem formulation and standard affine combination of LMS filters are introduced.  ...  Koichi Adachi of Institute for Infocomm Research for his valuable comments and suggestions.  ... 
doi:10.1109/vtcspring.2014.7023132 dblp:conf/vtc/GuiKMA14 fatcat:qdh5kzlx6zdntid7jyrhutco3y

A MIXING VECTOR BASED AN AFFINE COMBINATION OF TWO ADAPTIVE FILTERS FOR SENSOR ARRAY BEAMFORMING

Songtao Lu, Jinping Sun, Guohua Wang, Yi-Long Lu
2012 Electromagnetic Waves  
In this paper, we propose a novel general affine combination structure of two adaptive filters for interference mitigation of antenna array.  ...  The proposed approach adaptively combines two individual filters by coefficient weights vector instead of one scale parameter and takes the constraint of affine combination into consideration rather than  ...  ACKNOWLEDGMENT This work was supported in part by the National Nature Science Foundation of China by Grant 60901056, and the "973" Program of China by Grant 2010CB731903.  ... 
doi:10.2528/pier11090204 fatcat:hmed5acp6rhbtolxll5gjfz4su

Stochastic analysis of an error power ratio scheme applied to the affine combination of two LMS adaptive filters

José Carlos M. Bermudez, Neil J. Bershad, Jean-Yves Tourneret
2011 Signal Processing  
The affine combination of two adaptive filters that simultaneously adapt on the same inputs has been actively investigated.  ...  In these structures, the filter outputs are linearly combined to yield a performance that is better than that of either filter.  ...  The analysis of the affine combination of adaptive filters has been further expanded in [10, 11] . Affine and convex combinations have been compared in [12] [13] [14] .  ... 
doi:10.1016/j.sigpro.2011.05.017 fatcat:rixc7q5ahjhprfjpqaskgjqdc4

Adaptive Affine Combination of Two IPNLMS Filters for Robust Sparse Echo Cancellation

Pogula Rakesh, T Kishore Kumar
unpublished
To overcome these limitations, a combination approach of two adaptive filters that combines the output of individual filters through a mixing parameter has been developed.  ...  We propose an adaptive affine combination of two IPNLMS filters as a robust solution to alleviate the convergence speed vs steady-state error tradeoff, and to efficiently increase IPNLMS robustness to  ...  PROPOSED ADAPTIVE AFFINE COMBINATION OF IPNLMS FILTERS Let us consider two adaptive filters (w1 and w2) combined in a manner as shown in Figure 2 . ) (n x is the input vector, common for both adaptive  ... 
fatcat:v2s4uhzfzfamzkupvghfeecjn4
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