A Variable Step-Size Shrinkage Set-Membership Affine Projection Algorithm for Noisy Input
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To solve the conflicting requirement of fast convergence and low steady-state misalignment, a variable step-size shrinkage set-membership affine projection algorithm is proposed, which is efficient for the correlated input signal and noisy input environments. The new variable step size is derived by minimizing the square of noise-free a posteriori error, and the shrinkage method is employed to estimate the second-order statistics of the noise-free a priori error vector. Moreover, the stability analysis of the algorithm is conducted. Simulations demonstrate the effectiveness of the proposed algorithm for various noisy input environments.
KeywordsNoisy input Affine projection algorithm Variable step size Shrinkage Echo cancelations
The authors would like to thank Dr. Lu Lu (Southwest Jiaotong University) for polishing the language. This work was partially supported by National Science Foundation of People’s Republic of China (Grants 61571374, 61271340, 61433011).
- 14.J. Cui, H. Shao, A robust set-membership affine projection algorithm based on outlier estimation method, in ISCC (2015), pp. 1–8Google Scholar
- 31.Y. Yu, H. Zhao, An improved variable step-size NLMS algorithm based on a Versiera function, in IEEE ICSPCC (2013), pp. 1–4Google Scholar
- 35.Z. Zheng, H. Zhao, Proportionate affine projection algorithm based on coefficient difference, in IEEE ICSPCC (2014), pp. 115–119Google Scholar