Convergence properties of an adaptive Fourier analyzer

Gyula Simon, Gábor Péceli

Research output: Contribution to journalArticle

13 Citations (Scopus)


A PLL-like adaptive Fourier analyzer (AFA) was proposed which has shown excellent performance in practical applications. The convergence analysis of this AFA is extremely difficult, and until now theoretical results have not been available. In this paper a modified version of the original AFA will be proposed. The new version preserves the effectiveness of the original AFA, and its convergence properties can be exactly analyzed. Sufficient conditions are presented for the exponential stability, and the absolutely monotone convergence, as a function of the harmonic content of the input signal. The speed of the convergence is also estimated, and the effect of the noise and of unmodeled periodic components are analyzed.

Original languageEnglish
Pages (from-to)223-227
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Issue number2
Publication statusPublished - Feb 1 1999


ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this