Based on the maximunl-entropy (ME) principle, a new power spectral estimator for random waves is derived in the form of S(ω)=a/8H^2^-(2π)^(d+2)exp[-b(2π/ω)^n],1)y solving a variational problem subject ...Based on the maximunl-entropy (ME) principle, a new power spectral estimator for random waves is derived in the form of S(ω)=a/8H^2^-(2π)^(d+2)exp[-b(2π/ω)^n],1)y solving a variational problem subject to some quite general constraints. This robust method is comprehensive enough to describe the wave spectra even in extreme wave conditions and is superior to periodogranl method that is not suit'able to process comparatively short or intensively unsteady signals for its tremendous boundary effect and some inherent defects of FKF. Fortunately, the newly derived method for spectral estimation works fairly well, even though the sample data sets are very short and unsteady, and the reliability and efficiency of this spectral estimator have been preliminarily proved.展开更多
基金This research was financially supported by the National Natural Science Foundation of China(Grant No.50479028)a Research Fundfor Doctoral Programs of Higher Education of China(Grant No.20060423009)
文摘Based on the maximunl-entropy (ME) principle, a new power spectral estimator for random waves is derived in the form of S(ω)=a/8H^2^-(2π)^(d+2)exp[-b(2π/ω)^n],1)y solving a variational problem subject to some quite general constraints. This robust method is comprehensive enough to describe the wave spectra even in extreme wave conditions and is superior to periodogranl method that is not suit'able to process comparatively short or intensively unsteady signals for its tremendous boundary effect and some inherent defects of FKF. Fortunately, the newly derived method for spectral estimation works fairly well, even though the sample data sets are very short and unsteady, and the reliability and efficiency of this spectral estimator have been preliminarily proved.