不定阶变步长仿射投影算法

Variable Step-size Affine Projection Algorithm with evolving order

摘要:

变步长仿射投影算法因结构简单、收敛速度快等优点而得到广泛重视。然而此算法由于计算量大，其应用受到一定限制。为了降低算法复杂度，利用变阶思想，在迭代过程中对投影阶数进行控制，文章提出一种新的变步长仿射投影算法——不定阶变步长仿射投影算法。该算法根据均方偏差的收敛条件，在迭代过程中不断减小投影阶数。仿真结果表明，该算法在减小计算量的同时还能保证很快的收敛速度和低的失调。

Abstract:

The variable step-size affine projection algorithm attracts wide attention for its advantages of simple frame, fast convergence rate and so on. However, the high complexity of this algorithm limits its application. To reduce its complexity，a new method is proposed which changes its step size based on evolving order. According to the condition of convergence on the Mean-Square Deviation, the algorithm decreases its order as iteration goes on. Simulation results show low complexity, fast convergence rate，and low misadjustment of the proposed algorithm.