Author:

Keywords:

crest-factor, multisine, optimal excitation, peak factor minimization, signals, Science & Technology, Technology, Engineering, Electrical & Electronic, Instruments & Instrumentation, Engineering, CREST-FACTOR, MULTISINE, OPTIMAL EXCITATION, PEAK FACTOR MINIMIZATION, SIGNALS, 0299 Other Physical Sciences, 0906 Electrical and Electronic Engineering, Electrical & Electronic Engineering, 4006 Communications engineering, 4008 Electrical engineering, 4009 Electronics, sensors and digital hardware

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 l(p)-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.