Steady-State Solution of the Deficient Length Constrained FBLMS Algorithm

Author

Ming Wu ; Jun Yang ; Yong Xu ; Xiaojun Qiu

Author_Institution

Key Lab. of Noise & Vibration Res. & the State Key Lab. of Acoust., Inst. of Acoust., Beijing, China

Volume

60

Issue

12

fYear

2012

Firstpage

6681

Lastpage

6687

Abstract

In almost all analyses of the frequency-domain block least mean-square (FBLMS) algorithm, the length of the adaptive filter is assumed to be equal to that of the unknown system impulse response. However, in many practical situations, where the length of the system impulse response is extremely long, the adaptive filter usually works in an under-modeling situation. The analysis results for the sufficient length FBLMS algorithm are not applicable to the deficient length case. In this correspondence, the steady-state solution of the deficient length constrained FBLMS algorithm is analyzed. Simulations illustrate the accuracy of the theoretical results.

Keywords

adaptive filters; frequency-domain analysis; least mean squares methods; transient response; adaptive filter length; deficient length constrained FBLMS algorithm; frequency-domain block least mean-square algorithm; steady-state solution; under-modeling situation; unknown system impulse response; Algorithm design and analysis; Frequency domain analysis; Least squares approximation; Signal processing algorithms; Steady-state; Time domain analysis; Deficient length adaptive filter; FBLMS algorithm;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2012.2218239

Filename

6298980