scholarly journals Affine Projection Algorithm Using Regressive Estimated Error

2011 ◽  
Vol 2011 ◽  
pp. 1-5 ◽  
Author(s):  
Shu Zhang ◽  
Yongfeng Zhi
Keyword(s):  
Convergence Rate ◽  
Adaptive Filtering ◽  
Projection Algorithm ◽  
Error Signal ◽  
Affine Projection ◽  
Affine Projection Algorithm ◽  
Fast Convergence Rate ◽  
Simulation Results ◽  
The Stability ◽  
Estimated Error

An affine projection algorithm using regressive estimated error (APA-REE) is presented in this paper. By redefining the iterated error of the affine projection algorithm (APA), a new algorithm is obtained, and it improves the adaptive filtering convergence rate. We analyze the iterated error signal and the stability for the APA-REE algorithm. The steady-state weights of the APA-REE algorithm are proved to be unbiased and consist. The simulation results show that the proposed algorithm has a fast convergence rate compared with the APA algorithm.

Study on UWB Channel Equalization with Adaptive Gain Affine Projection Algorithm

2012 ◽  
Vol 220-223 ◽  
pp. 2121-2128
Author(s):  
Yin Xue Li ◽  
Jun Zhang ◽  
Yong Feng Zhi
Keyword(s):  
Convergence Rate ◽  
Channel Equalization ◽  
Projection Algorithm ◽  
Technology Study ◽  
Time Hopping ◽  
Affine Projection ◽  
Affine Projection Algorithm ◽  
Simulation Results ◽  
Uwb Channel ◽  
Better Than

A new equalization technology study with adaptive affine projection algorithm, aiming at the inter symbol interferences in the UWB channels was presented specially for time-hopping UWB (TH-UWB) systems. The computational complexity and convergence rate of the APA-AG algorithm was compared with the traditional algorithms. The simulation results show that this method improves the convergence rate and has a good stability. And the equalizer with the affine projection algorithm using adaptive gain is better than the RLS equalizer and the LMS equalizer.

Set-membership affine projection algorithm based on the percentage change of the error signal and variable projection order

2022 ◽  
Vol 20 (3) ◽  
pp. 496-502
Author(s):  
Carlos Trejo ◽  
Xochitl Maya ◽  
Rene Martinez ◽  
Gabriel Sanchez ◽  
Hector Perez ◽  
...  
Keyword(s):  
Percentage Change ◽  
Projection Algorithm ◽  
Error Signal ◽  
Variable Projection ◽  
Affine Projection ◽  
Affine Projection Algorithm ◽  
Set Membership

AUDIO QUALITY IMPROVEMENT OF VEHICULAR HANDS-FREE COMMUNICATION USING VARIABLE STEP-SIZE AFFINE-PROJECTION ALGORITHM

2010 ◽  
Vol 08 (06) ◽  
pp. 875-894 ◽  
Author(s):  
JIAN-DA WU ◽  
SHIH-LIN LIN
Keyword(s):  
Adaptive Filtering ◽  
Sound Quality ◽  
Projection Algorithm ◽  
Variable Step Size ◽  
Step Size ◽  
Free Communication ◽  
Filtering Algorithm ◽  
Affine Projection ◽  
Affine Projection Algorithm ◽  
Variable Step

For a vehicular hands-free communication system, the sound quality of communication is usually degraded by noise which is known to be detrimental to system performance. In this paper, a novel adaptive filtering algorithm and an integrated system for acoustic echo and noise cancellation are presented. The proposed system includes adaptive noise cancellation, line enhancer, and echo cancellation which are based on a variable step-size affine-projection algorithm (VSS APA). The proposed VSS APA filtering algorithm is a combination of a variable step-size least-mean-square (VSS LMS) and an affine-projection algorithm (APA). The matrix of the APA allows more accurate, thorough input data and transforms the data into the structure of orthogonality, thus making the estimate of the weight vector faster and more accurate. To understand and verify the effectiveness of the proposed system, performance evaluation and comparison were conducted to compare the proposed algorithm and various traditional adaptive filtering algorithms in this application. The results demonstrated that the VSS APA has an effective performance and convergence in sound quality improvement of hands-free communication systems.

scholarly journals L1-Norm Penalized Bias Compensated Linear Constrained Affine Projection Algorithm

2020 ◽  
Vol 9 (3) ◽  
pp. 1809-1816
Keyword(s):  
Projection Algorithm ◽  
Linear Phase ◽  
L1 Norm ◽  
Estimation Performance ◽  
Input Noise ◽  
Affine Projection ◽  
Affine Projection Algorithm ◽  
Sparse System ◽  
Sparse System Identification ◽  
The Stability

This paper presents an l1-norm penalized bias compensated linear constrained affine projection (l1-BC-CAP) algorithm for sparse system identification having linear phase aspectin the presence of noisy colored input. The motivation behind the development of the proposed algorithm is formulated on the concept of reusing the previous projections of input signal in affine projection algorithm (APA) that makes it suitable for colored input. At First, l1-CAP algorithm is derived by adding zero attraction based on l1-norm into constrained affine projection (CAP) algorithm. Then, the proposed l1-BC-CAP algorithm is derived by addinga bias compensator into the filter coefficient update equation of l1-norm constrained affine projection (l1-CAP) algorithm to alleviate the adverse consequence of input noise on the estimation performance. Hence, the resulting l1-BC-CAP algorithm excels the estimation performance when applied to linear phase sparse system in the existence of noisy colored input. Further, this work also examines the stability concept of the proposed algorithm

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