Research Initiation: Stationary Stochastic Models For Flicker Noise Based on Internal-Valued Probability

研究启动：基于内值概率的闪烁噪声平稳随机模型

• 批准号: 8809325
• 负责人: Adrian Papamarcou
• 金额: $ 5.94万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-01 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8809325&HistoricalAwards=false
• 关键词: Research; Initiation; Stationary; Stochastic; Models

The development of alternative statistical models for flicker (1/f) noise in a framework broader than that of numerical probability. Such models are needed for flicker noise phenomena that occur in stable, time-invariant systems, yet exhibit power spectra that are not attributable to stationary processes in the usual sense of the term. Our experience with the area of interval-valued probability leads us to speculate that the sought models may be found there, and we put forward systematic procedures for searching that area. This is one of the rare instances in which the usual concept of numerical probability fails to yield satisfactory models, and an alternative concept seems more promising.

闪烁（1/f）的替代统计模型的开发 噪声在一个框架更广泛的比数字概率。 等 需要模型用于在稳定， 时不变系统，但表现出功率谱， 在通常意义上的平稳过程。 我们在区间值概率领域的经验使我们 推测寻找的模型可能会在那里找到，我们把它放在 系统地搜索该地区。 这是 在罕见的情况下，通常的数字概率概念 无法产生令人满意的模型，另一种概念似乎 更有前途。