【摘要】 通过确立半积分算子的概念，得到了精密时钟噪声中全部5种噪声分量与白噪声的时域联系，并建立了精密时钟噪声的与幂律谱模型完全等价的半积分半微分算子模型，从而为分析和处理包含5种噪声分量的精密时钟噪声提供了新的、更有效的数学手段。更多还原

【Abstract】 It is known that precise-clock noise process can be described as the sum of five independent noise parts according to the power-law model presented by J. A. Barnes et al. in1971. For lack of knowledge about the time-domain relation between each noise part andwhite noise, it is difficult to clearly describe these noise parts (especially flicking noiseparts)in time-domain. In order to discover the property of each noise part, the author defined a half-integrating operator. With this new a half-integrating operator, the author obtheir own layers. This new time-domain model of precise-clock noise is equivalent to power-law model, but it can be used as a very useful mathmetical tool to simulate, analyse,seperate (according to noise part) the noise process of precise-clock. As one of applications of this new time-domain model,the author deduced the autocorrelations of all fivenoise parts by using of their relations with white noise.更多还原