Simplified analysis of the LMS adaptive filter using a transfer function approximation

1987 ◽  
Vol 35 (7) ◽  
pp. 987-993 ◽  
Author(s):  
P. Clarkson ◽  
P. White
Keyword(s):  
Transfer Function ◽  
Adaptive Filter ◽  
Function Approximation ◽  
Simplified Analysis

An Adaptive Fir Filtering Based on Balanced Realization

2013 ◽  
Vol 753-755 ◽  
pp. 2566-2572
Author(s):  
Zheng Hong Deng ◽  
Jian Guo Dang ◽  
Ting Ting Li
Keyword(s):  
Transfer Function ◽  
State Space ◽  
Adaptive Filter ◽  
Finite Impulse Response ◽  
Balanced Realization ◽  
Filtering Algorithm ◽  
Filter Structure ◽  
Fir Filtering ◽  
Attractive Candidate ◽  
Adaptive Fir

Balanced realization is an attractive candidate to design state-space adaptive filter structure due to its least parameter sensitivity. In this paper, based on the balanced realization, an adaptive finite impulse response (FIR) filtering algorithm is proposed to minimize the output-error using the coefficients of the transfer function as the adaptive filter parameters. This algorithm is an internally balanced realization form and guarantees that the designed adaptive FIR filtering always minimizes the ratio of maximum-to-minimum eigenvalues of the Grammian matrices.

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