论文标题

理论和实用的界限是偏斜时钟的初始值,用于时钟偏斜赔偿算法免疫到浮点精度损失

Theoretical and Practical Bounds on the Initial Value of Skew-Compensated Clock for Clock Skew Compensation Algorithm Immune to Floating-Point Precision Loss

论文作者

Kang, Seungyeop, Kim, Kyeong Soo

论文摘要

A clock skew compensation algorithm was recently proposed based on the extension of Bresenham's line drawing algorithm (Kim and Kang, IEEE Commun. Lett., vol. 26, no. 4, pp. 902--906, Apr. 2022), which takes into account the discrete nature of clocks in digital communication systems and mitigates the effect of limited floating-point precision on clock skew compensation.然而,它缺乏对偏斜时钟初始值范围的理论分析,这也是该算法的初始条件。在这封信中,我们基于对浮点操作的误差的系统分析,对偏斜时钟的初始值提供了实用和理论界限,这些分析取代了先前工作的定理1中的近似范围。

A clock skew compensation algorithm was recently proposed based on the extension of Bresenham's line drawing algorithm (Kim and Kang, IEEE Commun. Lett., vol. 26, no. 4, pp. 902--906, Apr. 2022), which takes into account the discrete nature of clocks in digital communication systems and mitigates the effect of limited floating-point precision on clock skew compensation. It lacks, however, a theoretical analysis of the range of the initial value of skew-compensated clock, which is also an initial condition for the proposed algorithm. In this letter, we provide practical as well as theoretical bounds on the initial value of skew-compensated clock based on a systematic analysis of the errors of floating-point operations, which replace the approximate bounds in Theorem 1 of the prior work.

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