A new variable tap-length and step-size FxLMS algorithm

Dah Chung Chang, Fei Tao Chu

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The filtered-X least mean-square (FxLMS) algorithm is widely used for active noise control (ANC). A long tap-length is usually required for some FxLMS applications, and consequentially the convergence rate becomes very slow. In this letter, a new variable tap-length and step-size FxLMS algorithm is proposed, especially suited to a long tap-length filter. Taking into account the lowpass filter effect in the secondary path of ANC, the new algorithm is developed for the control filter with an unsymmetric and two-sided exponential decay envelop over its impulse response. Simulation results show that the new algorithm provides faster convergence and cancellation performance compared to previously proposed variable-step-size FxLMS algorithms.

Original languageEnglish
Article number6601623
Pages (from-to)1122-1125
Number of pages4
JournalIEEE Signal Processing Letters
Issue number11
StatePublished - 2013


  • Active noise control
  • FxLMS
  • secondary path
  • two-sided exponential decay envelop


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