论文部分内容阅读
本文讨论了有误差的连分式。给出并证明了五个与误差值有关的公式。在给定误差条件下,用此连分式能将多位小数或有理分数化为一个分数M/N,其中M和N具有最小数值。 在原子频率标准的频率合成器中,通常由一个均匀的直流磁场(C场)产生谱线的Zeeman分离,因此可利用近似频率合成法。用本文所述的有误差的连分式可使所需的硬件最少。文中给出了几种原子频率标准的合成器电路方案。
This article discusses the fractional continued fractions. Five formulas related to the error value are given and proved. With this given fractional error, the fractional or rational fraction can be fractionized into a fractional M / N, where M and N have the smallest value. In a frequency synthesizer with an atomic frequency standard, the Zeeman separation of the lines is usually generated by a uniform DC magnetic field (C-field), so approximation frequency synthesis can be used. With the error described in this article can be required to minimize the hardware. In this paper, several atomic frequency standard synthesizer circuit scheme is given.