CAJ | 학술논문

可变步长最小均方（Variable step-size LMS，VSS-LMS）算法的傅里叶分析器在稳态误差、收敛速度及追踪能力方面具有优异性能，对其进行全面的统计特性分析具有重要意义。本文基于误差服从高斯分布等假设在平均及均方意义下，推导出描述系统动态特性的差分方程组，完成系统的动态数学建模，进而对系统进行稳态性能分析，给出系统稳态误差关于参考信号频率、系统参数和附加噪声的表达式，为系统应用中的参数选取提供有效指导。仿真表明，本文建立的统计模型与仿真结果具有一致性，验证了分析的有效性。
가변보장최소균방（Variable step-size LMS，VSS-LMS）산법적부리협분석기재은태오차、수렴속도급추종능력방면구유우이성능，대기진행전면적통계특성분석구유중요의의。본문기우오차복종고사분포등가설재평균급균방의의하，추도출묘술계통동태특성적차분방정조，완성계통적동태수학건모，진이대계통진행은태성능분석，급출계통은태오차관우삼고신호빈솔、계통삼수화부가조성적표체식，위계통응용중적삼수선취제공유효지도。방진표명，본문건립적통계모형여방진결과구유일치성，험증료분석적유효성。
Fourier analyzer,based on variable step-size least mean square (LMS)algorithm,enjoys fast convergence,good tracking capability and small steady state errors.Thus,a thorough statistical analysis of the Fourier analyzer is of great significance. In this paper,differential equations governing the dynamic of the system are derived in the mean and mean square sense on the premise that the error signals obey Gauss distribution.Closed-form expressions indicating relationships of steady-state error,reference signal frequencies,system parameters and addictive noise are carried out for steady-state performance analysis,which can serve as the fundamental principle for system parameter selection.Numerous simulations confirm the validity of the analytical findings.