CAJ | 학술논문

为了解决传统集员滤波仿射投影（SM—AP）算法收敛速度与稳态失调和计量复杂度之间的矛盾，提出一种新的数据选择性仿射投影算法。此算法在传统SM—AP算法的基础上，引入可变阶数（也称数据重用因子），称为基于可变数据重用因子的集员滤波仿射投影（VDRF—SM—AP）算法。通过利用步长提供的信息，此算法可以自动地分配数据重用因子，实现了征初始阶段数据重用因子大，收敛后数据重用因子小的目标，从而既保证了收敛速度又降低了稳态失调。通过理论分析和仿真验证，新算法的整体复杂度比其他传统的SM-AP算法低很多，同时保留了传统的SM—AP算法的快速收敛特性，但是却能达到更小的稳态失调。
위료해결전통집원려파방사투영（SM—AP）산법수렴속도여은태실조화계량복잡도지간적모순，제출일충신적수거선택성방사투영산법。차산법재전통SM—AP산법적기출상，인입가변계수（야칭수거중용인자），칭위기우가변수거중용인자적집원려파방사투영（VDRF—SM—AP）산법。통과이용보장제공적신식，차산법가이자동지분배수거중용인자，실현료정초시계단수거중용인자대，수렴후수거중용인자소적목표，종이기보증료수렴속도우강저료은태실조。통과이론분석화방진험증，신산법적정체복잡도비기타전통적SM-AP산법저흔다，동시보류료전통적SM—AP산법적쾌속수렴특성，단시각능체도경소적은태실조。
To solve the confliction between convergence speed and steady-state misadjustment or computational complexity,a new data-selective affine projection （AP） algorithm is proposed. The algorithm which is called affine projection algorithm with variable order or data-reuse factor based on set-membership filtering （VDRF-SM-AP） generalizes the ideas of the conventional set-membership affine -projection （SM-AP） algorithm to include a variable data-reuse factor. By utilizing the information provided by step size,the data-reuse factor can be automatically adjusted. At the beginning of the algorithm a large data-reuse factor is achieved while a small one is achieved after the algorithm has converged. Simulations show that a significant reduction in the overall complexity can be obtained with the pro- posed algorithm as eompared with the conventional SM-AP algorithm. In addition,the proposed algorithm retains the fast convergence of the conventional SM-AP algorithm,but obtains the lower steady-state misadjustment.