Spline adaptive filtering algorithm based on Heaviside step function

Document Type

Article

Publication Date

7-1-2022

Abstract

To reduce the interference of impulsive noise when the spline adaptive filter (SAF) algorithm is used to identify nonlinear systems, this paper proposes a family of SAF algorithms using the Heaviside step function (HSF). The suitability of those cost functions proposed are investigated; those cost functions are design based on some HSF’s approximate functions. Then based on that, four SAF algorithms have been developed: SAF-HSF-sigmoid, SAF-HSF-erfc, SAF-HSF-atan, and SAF-HSF-tanh. Also, the bound of the learning rate has been derived for those proposed algorithms. The proposed SAF-HSF algorithms have been evaluated for nonlinear system identification and simulation studies to demonstrate their robustness.

Identifier

85123113885 (Scopus)

Publication Title

Signal Image and Video Processing

External Full Text Location

https://doi.org/10.1007/s11760-021-02085-z

e-ISSN

18631711

ISSN

18631703

First Page

1333

Last Page

1343

Issue

5

Volume

16

Grant

B2021-38

Fund Ref

National Natural Science Foundation of China

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