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Individually Weighted Modified Logarithmic Hyperbolic Sine Curvelet Based Recursive FLN for Nonlinear System Identification

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Publicado en:Circuits, Systems, and Signal Processing vol. 44, no. 1 (Jan 2025), p. 306
Publicado:
Springer Nature B.V.
Materias:
Logarithms
Parameter identification
Adaptive systems
Conjugation
Convergence
Cost function
Exponential functions
Trigonometric functions
Recursive functions
Effectiveness
Parameter modification
System identification
Nonlinear systems
Hearing aids
Hyperbolic functions
Nonlinear filters
Nonlinearity
Adaptive algorithms
Sparsity
Communication
Identification
Optimization techniques
Manuscripts
Signal processing
Adaptation
Noise control
Algorithms
Acoustics
Simulation
Acceso en línea:Citation/Abstract
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Resumen:Lately, an adaptive exponential functional link network (AEFLN) involving exponential terms integrated with trigonometric functional expansion is being introduced as a linear-in-the-parameters nonlinear filter. However, they exhibit degraded efficacy in lieu of non-Gaussian or impulsive noise interference. Therefore, to enhance the nonlinear modelling capability, here is a modified logarithmic hyperbolic sine cost function in amalgamation with the adaptive recursive exponential functional link network. In conjugation with this, a sparsity constraint motivated by a curvelet-dependent notion is employed in the suggested approach. Therefore, this paper presents an individually weighted modified logarithmic hyperbolic sine curvelet-based recursive exponential FLN (IMLSC-REF) for robust sparse nonlinear system identification. An individually weighted adaptation gain is imparted to several coefficients corresponding to the nonlinear adaptive model for accelerating the convergence rate. The weight update rule and the maximum criteria for the convergence factor are being further derived. Exhaustive simulation studies profess the effectiveness of the introduced algorithm in case of varied nonlinearity and for identifying as well as modelling the physical path of the acoustic feedback phenomenon of a behind-the-ear (BTE) hearing aid.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-024-02839-3
Fuente:Science Database