西北工业大学学报
西北工業大學學報
서북공업대학학보
JOURNAL OF NORTHWESTERN POLYTECHNICAL UNIVERSITY
2015年
3期
484-488
,共5页
黄兴利%慕德俊%肖磊%焦利涛
黃興利%慕德俊%肖磊%焦利濤
황흥리%모덕준%초뢰%초리도
自适应滤波%仿射投影算法%均方误差%系统辨识
自適應濾波%倣射投影算法%均方誤差%繫統辨識
자괄응려파%방사투영산법%균방오차%계통변식
仿射投影算法利用多个输入向量估计自适应滤波器的迭代方向,获得了比较快的收敛速度。在不考虑系统测量噪声的条件下,参数迭代步长等于1,仿射投影算法获得了最快的收敛速度。在此条件下,研究了仿射投影算法收敛性的随机统计特性,分析了仿射投影算法权值误差和权值均方误差的递归迭代方程,获得了仿射投影算法稳定状态的误差。
倣射投影算法利用多箇輸入嚮量估計自適應濾波器的迭代方嚮,穫得瞭比較快的收斂速度。在不攷慮繫統測量譟聲的條件下,參數迭代步長等于1,倣射投影算法穫得瞭最快的收斂速度。在此條件下,研究瞭倣射投影算法收斂性的隨機統計特性,分析瞭倣射投影算法權值誤差和權值均方誤差的遞歸迭代方程,穫得瞭倣射投影算法穩定狀態的誤差。
방사투영산법이용다개수입향량고계자괄응려파기적질대방향,획득료비교쾌적수렴속도。재불고필계통측량조성적조건하,삼수질대보장등우1,방사투영산법획득료최쾌적수렴속도。재차조건하,연구료방사투영산법수렴성적수궤통계특성,분석료방사투영산법권치오차화권치균방오차적체귀질대방정,획득료방사투영산법은정상태적오차。
Using the multiple input vectors, the affine projection ( AP ) algorithm estimates the iteration direction of the adaptive filter. The AP algorithm obtains better convergence behavior. When the step?size equals to one, the AP algorithm realizes the fastest convergence under the measurement?noise free condition. In this condition, we analyze the statistical stochastic convergence behavior of the AP algorithm. The deterministic recursive equations are derived for the mean weight error and for the mean?square error ( MSE) . The stability of MSE is also obtained for the AP al?gorithm.