Crest-factor minimization using nonlinear Chebyshev approximation methods (1991)
| Venue: | IEEE Trans. on Inst. and Meas |
| Citations: | 14 - 2 self |
BibTeX
@ARTICLE{Guillaume91crest-factorminimization,
author = {Patrick Guillaume and Johan Schoukens and Rik Pintelon and Istvin Kollar},
title = {Crest-factor minimization using nonlinear Chebyshev approximation methods},
journal = {IEEE Trans. on Inst. and Meas},
year = {1991},
pages = {982--989}
}
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Abstract
Abstract-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 Z,,-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. Keywords-Crest-factor, multisine, optimal excitation. I.
