A Variable Step Size Least Mean <i>p</i>-Power Adaptive Filtering Algorithm

WANG Biao; LI Hanqiong; GAO Shijie; ZHANG Mingliang; XU Chen

doi:10.11999/JEIT210073

Volume 44 Issue 2

Feb. 2022

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Article Navigation > Journal of Electronics & Information Technology > 2022 > 44(2): 661-667

WANG Biao, LI Hanqiong, GAO Shijie, ZHANG Mingliang, XU Chen. A Variable Step Size Least Mean p-Power Adaptive Filtering Algorithm[J]. Journal of Electronics & Information Technology, 2022, 44(2): 661-667. doi: 10.11999/JEIT210073

Citation:

WANG Biao, LI Hanqiong, GAO Shijie, ZHANG Mingliang, XU Chen. A Variable Step Size Least Mean p-Power Adaptive Filtering Algorithm[J]. Journal of Electronics & Information Technology, 2022, 44(2): 661-667. doi: 10.11999/JEIT210073

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A Variable Step Size Least Mean p-Power Adaptive Filtering Algorithm

doi: 10.11999/JEIT210073

School of Electronic and Information, Jiangsu University of Science and Technology, Zhenjiang 212100, China

Funds: The National Natural Science Foundation of China(52071164)

Received Date: 2021-05-25
Rev Recd Date: 2021-09-03

Available Online: 2021-09-17

Publish Date: 2022-02-25

Abstract

Abstract

Under $ \alpha $ stable distribution impulse noise environment, in order to solve the problem that the fixed step-size Least Mean p-Power(LMP) can not satisfy the fast convergence speed and low steady-state error at the same time, a Variable Step-Size LMP (VSS-LMP) adaptive filtering algorithm with robustness to impulse noise is proposed. The algorithm uses an improved modified Gaussian function to adjust the step size, and uses a moving average method to construct a variable step size function, which overcomes the problems of high steady-state error and poor anti-noise performance of the fixed-step algorithm. When the system is disturbed by impulse noise, the VSS-LMP algorithm can maintain a stable step size; When the system is gradually stable, it can generate a small step size to reduce the steady-state error. The simulation results of system identification show that the VSS-LMP algorithm has faster convergence speed and stronger system tracking ability compared with the fixed step size and variable step size algorithm under the condition of $ \alpha $ stable distributed impulse noise.
- Least Mean p-Power(LMP),
- Variable step size,
- α stable distribution,
- Modified Gaussian function

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References(19)

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