Ratio indicator characterization for waveform reconstruction with jittered data

Author

Hao, W.D. ; Jenq, Y.C. ; Wang, S.Y.

Author_Institution

Inst. of Astron. & Astrophys., Acad. Sinica, Taipei, Taiwan

Volume

2

fYear

2003

Firstpage

1048

Abstract

This paper aims to characterize the ratio indicator cited by Wei-Da Hao and Y. C. Jenq (1994). The ratio indicator enables the stochastic up and down method with the ability showing users the precision of the estimation. In this way, waveform reconstruction with jittered data can be conducted in a reliable way. By studying in detail the stochastic stationary model by R. K. Tsutakawa (1967), a computing intensive calculation for the 98% percentile of the stationary distribution is implemented. The result shows that the ratio indicator can be characterized as a function of the rate of the convergence of the stationary distribution, and the value of the ratio indicator converges to a constant. With this characterization, ratio indicator can be applied more rigorously to make highly precise measurement task implementable.

Keywords

estimation theory; jitter; signal reconstruction; stochastic processes; waveform analysis; convergence rate; jittered data; ratio indicator characterization; stationary distribution; waveform reconstruction; Circuits; Clocks; Random variables; Sampling methods; Signal sampling; Stochastic processes; Stochastic resonance; Time measurement; Timing jitter; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation and Measurement Technology Conference, 2003. IMTC '03. Proceedings of the 20th IEEE

ISSN

1091-5281

Print_ISBN

0-7803-7705-2

Type

conf

DOI

10.1109/IMTC.2003.1207912

Filename

1207912