A Logarithmic Total Least Squares Adaptive Filtering Algorithm for Impulsive Noise Suppression

Haiquan ZHAO; Lei LI

doi:10.11999/JEIT200344

Volume 43 Issue 2

Feb. 2021

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Haiquan ZHAO, Lei LI. A Logarithmic Total Least Squares Adaptive Filtering Algorithm for Impulsive Noise Suppression[J]. Journal of Electronics & Information Technology, 2021, 43(2): 284-288. doi: 10.11999/JEIT200344

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Haiquan ZHAO, Lei LI. A Logarithmic Total Least Squares Adaptive Filtering Algorithm for Impulsive Noise Suppression[J]. Journal of Electronics & Information Technology, 2021, 43(2): 284-288. doi: 10.11999/JEIT200344

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A Logarithmic Total Least Squares Adaptive Filtering Algorithm for Impulsive Noise Suppression

doi: 10.11999/JEIT200344

Haiquan ZHAO^,,
Lei LI

School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China

Funds: The National Natural Science Foundation of China (61871461, 61571374, 61433011), The Sichuan Science and Technology Program (19YYJC0681), The National Rail Transportation Electrification and Automation Engineering Technology Research Center Foundation (NEEC-2019-A02)

Received Date: 2020-04-30
Rev Recd Date: 2020-07-29

Available Online: 2020-08-22

Publish Date: 2021-02-23

Abstract

Abstract

In environments where both the input and output signals of the unknown system contain noise, classical adaptive filtering algorithms, such as the Least Mean Square (LMS) algorithm, will produce biased estimates. The Total Least Squares (TLS) method is devised to minimize the perturbation of errors in the input and output signals, which is an important method to solve such problems. However, when the signals are disturbed by impulsive noises, which exist in many practical applications, the performance of traditional adaptive filtering algorithms that only relies on the second-order statistics of the errors, including the TLS algorithm, will deteriorate seriously, so that it can not work properly. In order to solve this problem, based on the TLS method, this paper uses logarithmic function to improve the TLS algorithm, and proposes a Logarithmic Total Least Square (L-TLS) algorithm which can efficiently reduce the effects of impulsive noises. Finally, computer simulation experiments verify the effectiveness of the proposed algorithm.
- Adaptive filtering,
- Impulsive noises,
- Total Least Squares (TLS)

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References(14)

References

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