POWER SPECTRUM OF STOCHASTIC PULSE SEQUENCES WITH CORRELATION BETWEEN PULSE PARAMETERS
POWER SPECTRUM OF STOCHASTIC PULSE SEQUENCES WITH CORRELATION BETWEEN PULSE PARAMETERS
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DOI：
10.1103/physrev.188.319
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发表时间：
1969-01-01
期刊：
影响因子：
--
通讯作者：
HEIDEN, C
中科院分区：
文献类型：
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作者：
HEIDEN, C
脉冲序列的功率谱S (f)，属于马尔可夫过程的一类，是为一个组合分布γ (φ, τ, h)的一般情况计算的，该分布允许脉冲参数之间的耦合：振幅h，持续时间τ和脉冲前后的时间周期φ。关于超导体中的流输输噪声，详细考虑了两种特殊的耦合情况：(i)当τ h= const时，即所有脉冲都具有相同的时间积分，如果τ在小τ值处分布的级数展开以项∝τ m−1开始，则S (f)在高频处表现出与特定脉冲形状无关的渐近f−m依赖关系。（ii）与脉冲大小τ h成比例的弛豫时间，以及指数分布的弛豫时间，导致低频处的f 2行为渐近，实际上又与脉冲形状无关。
The power spectrum S (f) of pulse sequences, which belong to the class of Markov processes, is calculated for the general case of a combined distribution γ (ϑ, τ, h) that permits coupling between the pulse parameters: amplitude h, duration τ, and time period ϑ preceding or following a pulse. Two special cases of coupling are considered in detail with respect to fluxtransport noise in superconductors:(i) With τ h= const, ie, all pulses have the same time integral, S (f) exhibits at high frequencies an asymptotic f− m dependence regardless of the particular pulse shape, if the series expansion for the distribution of τ at small τ values starts with a term∝ τ m− 1.(ii) A relaxation time ϑ proportional to the pulse size τ h, and an exponential distribution for ϑ leads to an asymptotic f 2 behavior at low frequencies, again practically independent of the pulse shape.