ZHI Yongfeng, LI Ru, LI Huxiong, “A New Affine Projection Algorithm and Its Statistical Behavior,” Chinese Journal of Electronics, vol. 22, no. 3, pp. 537-542, 2013,
 Citation: ZHI Yongfeng, LI Ru, LI Huxiong, “A New Affine Projection Algorithm and Its Statistical Behavior,” Chinese Journal of Electronics, vol. 22, no. 3, pp. 537-542, 2013,

# A New Affine Projection Algorithm and Its Statistical Behavior

Funds:  This work is supported by the National Natural Science Foundation of China (No.61201321), and the Basic Research Foundation of Northwestem Polytechnical University (No.JC20100217).
• Rev Recd Date: 2012-12-01
• Publish Date: 2013-06-15
• An Affine projection algorithm with Direction error (AP-DE) is presented by redefining the iteration error. Under a measurement-noise-free condition, the iteration error is directly caused by the direction vector. A statistical analysis model is used to analyze the AP-DE algorithm. Deterministic recursive equations for the mean weight error and for the Mean-square error (MSE) in iteration direction are derived. We also analyze the stability of MSE in iteration direction and the optimal step-size for the AP-DE algorithm. Simulation results are provided to corroborate the analytical theory.
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