Crest-Factor Minimization Using Nonlinear Chebyshev Approximation Methods

Patrick Guillaume, Johan Schoukens, Rik Pintelon, István Kollái

Research output: Contribution to journalArticle

170 Citations (Scopus)


Low crest-factor of excitation and response signals is desirable in transfer function measurements, since this allows the maximization of the signal-to-noise ratios (SNR's) for given allowable amplitude ranges of the signals. The paper presents a new crest-factor minimization algorithm for periodic signals with prescribed power spectrum. The algorithm is based on approximation of the nondifferentiable Chebyshev (minimax) norm by /,,-norms with increasing values of p, and the calculations are accelerated by using FFT's. Several signals related by linear systems can also be compressed simultaneously. The resulting crest-factors are significantly better than those provided by earlier methods. Moreover, it is shown that the peak value of a signal can be further decreased by allowing some extra energy at additional frequencies.

Original languageEnglish
Pages (from-to)982-989
Number of pages8
JournalIEEE Transactions on Instrumentation and Measurement
Issue number6
Publication statusPublished - Dec 1991


  • Crest-factor
  • multisine
  • optimal excitation

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering

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