Gradient based variable forgetting factor RLS algorithm

Chi Fuk Henry SO, S. C. NG, S. H. LEUNG

Research output: Contribution to journalArticlespeer-review

39 Citations (Scopus)


An accurate new variable forgetting factor recursive least-square adaptive algorithm is derived. An improved mean square behaviour analysis is presented, which shows that the theoretical analysis and the simulation results are close to each other. The control of the forgetting factor is based on the dynamic equation of the gradient of mean square error. Compared with other variable forgetting factor algorithms, the new algorithm provides fast tracking and small mean square model error, and its performance will not be degraded much even in low signal-to-noise ratios. Copyright © 2003 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1163-1175
JournalSignal Processing
Issue number6
Early online dateFeb 2003
Publication statusPublished - Jun 2003


So, C. F., Ng, S. C., & Leung, S. H. (2003). Gradient based variable forgetting factor RLS algorithm. Signal Processing, 83(6), 1163-1175. doi: 10.1016/S0165-1684(03)00037-9


  • Adaptive filters
  • Variable forgetting factor
  • RLS algorithm


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