ZHI Yongfeng, SI Lei, SHI Fuqian, DAI Dameng. Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error[J]. Chinese Journal of Electronics, 2017, 26(2): 351-357. doi: 10.1049/cje.2016.06.020
 Citation: ZHI Yongfeng, SI Lei, SHI Fuqian, DAI Dameng. Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error[J]. Chinese Journal of Electronics, 2017, 26(2): 351-357.

# Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error

##### doi: 10.1049/cje.2016.06.020
Funds:  This work is supported by National Natural Science Foundation of China (No.61201321, No.61471300, No.61501331), Natural Science Basic Research Plan in Shaanxi Province of China (No.2014JQ8356), Fundamental Research Funds for the Central Universities (No.3102014JCQ01063), and Zhejiang Provincial Natural Science Foundation of China (No.LZ14F010002).
• Rev Recd Date: 2015-09-14
• Publish Date: 2017-03-10
• A new statistical analysis model is proposed to analyze the Affine projection algorithm with direction error (AP-DE). Four assumptions are made, which are based on the direction vector for the AP-DE algorithm. Under these assumptions, deterministic recursive equations for the weight error and for the mean-square error are derived. We also analyze the steady-state behavior of the AP-DE algorithm. Simulation results are provided to corroborate the analytical results.
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