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一、引言在随机海浪的描述中,谱的概念是大家所熟悉的.以有限长度的波面记录进行谱估计,在海浪谱分析理论中处于重要地位.常规谱分析方法的重要限制之一,就是将海浪过程视为平稳随机过程,即海浪的统计性质不随时间改变.但是,在许多情况下,例如,由风暴引起的波场,有限风区波场,以及受折射、变浅和底部摩擦影响的浅水波场,则不能被视为平稳(或匀质)的.Tayfun等认为,将海浪过程视为平稳随机过程是由于非平稳随机过程谱的概念缺乏在物理上有意义、数学上有严格证明而提出的.严格说
I. INTRODUCTION The concept of spectrum is familiar to everyone in the description of random waves. Spectral estimation with wave-length recording of finite length plays an important role in the theory of wave spectrum analysis. One of the important limitations of conventional spectral analysis methods is that The wave process is considered as a stationary stochastic process where the statistical properties of the waves do not change over time, but in many cases, for example, wave fields due to storms, wave fields in the zone of limited wind, and the effects of refraction, shallowing and bottom friction Of the shallow water wave field can not be regarded as smooth (or homogeneous) .Tayfun so that the wave process as a smooth stochastic process is due to the concept of non-stationary stochastic process spectrum lack of physical significance, mathematically rigorous Prove and put forward. Strictly speaking