迭代變步長LMS算法及性能分析
doi: 10.11999/JEIT141501
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1.
(解放軍軍械工程學(xué)院 石家莊 050003) ②(電子科技大學(xué)通信抗干擾技術(shù)國家級重點實驗室 成都 611731)
國家自然科學(xué)基金(U1035002/L05, 61001087, 61101034, 61271164)和國家科技重大專項(2014ZX03003001-002, 2012ZX03003010-003, 2011ZX03001-006-01)
Iteration-based Variable Step-size LMS Algorithm and Its Performance Analysis
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1.
(Ordnance Engineering College of PLA, Shijiazhuang 050003, China)
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2.
(National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu 611731, China)
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摘要: 針對固定步長LMS(Least Mean Square)算法(FXSSLMS)不能同時滿足快速收斂和小穩(wěn)態(tài)失調(diào)誤差的問題,該文提出了迭代變步長LMS算法(IVSSLMS)。與已有的變步長LMS算法(VSSLMS)不同,該算法的步長因子不再是由輸出誤差信號控制,而是建立了與迭代時間的改進Logistic函數(shù)非線性關(guān)系,克服了定步長算法收斂慢及已有變步長算法抗噪聲干擾能力差的問題。最后從理論上分析了算法的性能,給出了其參數(shù)取值方法。理論分析和仿真均表明,所提算法能夠在快速收斂情況下獲得小的穩(wěn)態(tài)失調(diào)誤差,在有色噪聲干擾下穩(wěn)態(tài)失調(diào)誤差比已有算法降低了約7 dB。
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關(guān)鍵詞:
- 信號處理 /
- 變步長LMS算法 /
- 穩(wěn)態(tài)失調(diào)誤差 /
- Logistic函數(shù)
Abstract: The Iteration-based Variable Step-Size LMS (IVSSLMS) algorithm is proposed to overcome the compromise between the convergence speed and the steady-state misadjustment error, which cannot be handled in Fixed Step-Size LMS algorithm (FXSSLMS). This algorithm is different from other Variable Step-Size LMS (VSSLMS) algorithms, since its step-size is not controlled by the error signal but the iteration time. In the other words, a modified Logistic-function nonlinear relationship is constructed between the iteration time and the step-size to conquer the slow convergence speed of the FXSSLMS and interference of the current VSSLMS. Finally, the performance and parameters settings of the proposed algorithm are analyzed. The theoretical analysis and simulations verify that the proposed algorithm has not only faster convergence speed but also smaller misadjustment error. The misadjustment error of this algorithm, with color noise interfering, is 7 dB less than existing methods. -
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