A Random Nonstationary Pulse Train Model

• 作者: Leon Cohen
• 来源期刊: 北京理工大学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 228-237
• 页数: 10页
• 语种: 英文
• DOI: 10.15918/j.jbit1004-0579.2021.055

摘要

A simple and mathematically tractable model of a nonstationary process is developed. The process is the sum of waves where the parameters of the waves are random. Explicit expres-sions for the mean and autocorrelation function at each position as a function of time are obtained. In the case of infinite time, the model evolves into a stationary process. The time-frequency distri-bution at each position is also obtained. An explicit example is given where the initial waves are Gaussian. The case where there is dispersion in the propagation is also discussed.