华东交通大学学报
華東交通大學學報
화동교통대학학보
JOURNAL OF EAST CHINA JIAOTONG UNIVERSITY
2013年
6期
62-66
,共5页
自适应滤波器%最小均方算法%压缩传感%稀疏信道%零吸引因子%L1范数
自適應濾波器%最小均方算法%壓縮傳感%稀疏信道%零吸引因子%L1範數
자괄응려파기%최소균방산법%압축전감%희소신도%령흡인인자%L1범수
adaptive filters%least mean square%compressive sensing%sparse impulse response%zero attractor%L1 norm
基于加权零吸引因子最小均方算法(RZA-LMS),提出了一种应用于系统辨识的新型自适应滤波算法(ARZA-LMS)。RZA-LMS通过在标准LMS算法迭代过程中添加零吸引因子,促进了滤波器小权系数的收敛,从而在辨识稀疏系统时,加快了算法的整体收敛速度。但是RZA-LMS算法中的零吸引因子,选择了固定的e,过于武断,降低了算法的鲁棒性。通过在参数e与误差信号e之间建立非线性关系,使零吸引因子在最小化MSE更具有灵活性,提出了一种改进的RZA-LMS,提高了对系统辨识的收敛速度和稳定性。最后,计算机仿真验证了新算法的性能明显优于原算法和若干现有稀疏系统辨识的方法。
基于加權零吸引因子最小均方算法(RZA-LMS),提齣瞭一種應用于繫統辨識的新型自適應濾波算法(ARZA-LMS)。RZA-LMS通過在標準LMS算法迭代過程中添加零吸引因子,促進瞭濾波器小權繫數的收斂,從而在辨識稀疏繫統時,加快瞭算法的整體收斂速度。但是RZA-LMS算法中的零吸引因子,選擇瞭固定的e,過于武斷,降低瞭算法的魯棒性。通過在參數e與誤差信號e之間建立非線性關繫,使零吸引因子在最小化MSE更具有靈活性,提齣瞭一種改進的RZA-LMS,提高瞭對繫統辨識的收斂速度和穩定性。最後,計算機倣真驗證瞭新算法的性能明顯優于原算法和若榦現有稀疏繫統辨識的方法。
기우가권령흡인인자최소균방산법(RZA-LMS),제출료일충응용우계통변식적신형자괄응려파산법(ARZA-LMS)。RZA-LMS통과재표준LMS산법질대과정중첨가령흡인인자,촉진료려파기소권계수적수렴,종이재변식희소계통시,가쾌료산법적정체수렴속도。단시RZA-LMS산법중적령흡인인자,선택료고정적e,과우무단,강저료산법적로봉성。통과재삼수e여오차신호e지간건립비선성관계,사령흡인인자재최소화MSE경구유령활성,제출료일충개진적RZA-LMS,제고료대계통변식적수렴속도화은정성。최후,계산궤방진험증료신산법적성능명현우우원산법화약간현유희소계통변식적방법。
Based on RZA-LMS,a novel adaptive algorithm is presented for sparse system identification. The RZA-LMS algorithm generates a zero attractor in the LMS iteration due to the penalty item on coefficients,and the zero attractor promotes sparsity in taps during the filtering process,therefore convergence can be acceler-ated when identifying sparse systems. For the parameter e of the e-law compression in the zero attractor is con-stant,the algorithm is not robust. The proposed approach adaptively establishes nonlinear relationship between the parameter e and the error signal e,which makes the algorithm more flexible in an attempt to minimize the MSE. Simulation results demonstrate the advantages of the proposed filter in both convergence rate and steady-state behaviors under sparsity assumptions on the true coefficient vector.