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Crest-factor minimization using nonlinear Chebyshev approximation methods

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4 Author(s)
Guillaume, P. ; Free Univ., Brussels, Belgium ; Schoukens, Johan ; Pintelon, R. ; Kollar, I.

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 (SNRs) for given allowable amplitude ranges of the signals. The authors present 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 lp-norms with increasing values of p, and the calculations are accelerated by using FFTs. Several signals related by linear systems can also be compressed simultaneously. The resulting crest-factors are significantly better than those provided by earlier methods. It is shown that the peak value of a signal can be further decreased by allowing some extra energy at additional frequencies

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Instrumentation and Measurement, IEEE Transactions on  (Volume:40 ,  Issue: 6 )