Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31100
Estimation of Attenuation and Phase Delay in Driving Voltage Waveform of an Ultra-High-Speed Image Sensor by Dimensional Analysis

Authors: V. T. S. Dao, T. G. Etoh, C. Vo Le, H. D. Nguyen, K. Takehara, T. Akino, K. Nishi


We present an explicit expression to estimate driving voltage attenuation through RC networks representation of an ultrahigh- speed image sensor. Elmore delay metric for a fundamental RC chain is employed as the first-order approximation. By application of dimensional analysis to SPICE simulation data, we found a simple expression that significantly improves the accuracy of the approximation. Estimation error of the resultant expression for uniform RC networks is less than 2%. Similarly, another simple closed-form model to estimate 50 % delay through fundamental RC networks is also derived with sufficient accuracy. The framework of this analysis can be extended to address delay or attenuation issues of other VLSI structures.

Keywords: Dimensional Analysis, Elmore model, RC network, Signal Attenuation, Ultra-High-Speed Image Sensor

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1133


[1] T. G. Etoh, D. Poggermann, A. Ruckelshausen, A. J. P. Theuwissen, G. Kreider, H. O. Folkerts, H. Mutoh, Y. Kondo, H. Maruno, K. Takubo, H. Soya, K. Takehara, T. Okinaka, Y. Takano, T. Reisinger, and C. Lohman, "A CCD image sensor of 1Mframes/s for continuous image capturing of 103 frames", Digest of Technical Papers, IEEE Int. Solid-State Circuits Conf., San Francisco, CA, pp. 46-47, 2002.
[2] T. G. Etoh, D. Poggermann, G. Kreider, H. Mutoh, A. J. P. Theuwissen, A. Ruckelshausen, Y. Kondo, H. Maruno, K. Takubo, H. Soya, K. Takehara, T. Okinaka, and Y. Takano, "An image sensor which captures 100 consecutive frames at 1,000,000 frame/s", IEEE Trans.Electron Dev., vol. 50, no. 1, Jan. 2003, pp. 144-151.
[3] T. G. Etoh, C. Vo Le, Y. Hashishin, N. Otsuka, K. Takehara, H. Ohtake, T. Hayashida, and H. Maruyama, "Evolution of ultra-high-speed CCD imagers", Plasma and Fusion Research, 2, S1021, 2007.
[4] P. Karimov, , C. Vo Le, K. Takehara, S. Yokoi, and T. G. Etoh, "Phototriggering system for an ultra high speed video microscopy", Review of scientific instruments, vol.78, 113702, Nov. 2007.
[5] W.C. Elmore, "The transient response of damped linear networks with particular regard to wide-band amplifiers," J. Appl. Phys., vol. 19, no. 1, Jan. 1948, pp. 55-63. 6
[6] S. Y. Kim and S. S. Wong, "Closed-form RC and RLC delay models considering input rise time," IEEE Trans.Circuits Syst.-I, Regular Papers, vol. 54, no. 9, Sep. 2007, pp. 2001-2010.
[7] L.T. Pillage and R.A. Rohrer, "Asymptotic waveform evaluation for timing analysis," IEEE Trans. Comput-Aided Des.Integr.Circuits Syst., vol. 9, no. 4, Apr. 1990, pp. 352-366.
[8] C. L. Ratzlaff, N. Gopal, and L. T. Pillage, "RICE: Rapid interconnect circuit evaluator," in Proc. IEEE/ACM Design Automation Conf., 1991, pp. 555-560.
[9] Y. I. Ismail and C. Amin, "Computation of Signal Threshold Crossing Times Directly from Higher Order Moments", IEEE Trans. Comput- Aided Des.Integr. Circuits Syst.,vol. 23, no. 8, Aug. 2004, pp. 1264-1276.
[10] D. E. Khalil, Y. Ismail, M. Khellah, T. Karnik, and V. De, "Analytical Model for the Propagation Delay of Through Silicon Vias", in Proc. 9th Int. Symp. Quality Electronic Design, 2008, pp. 553-556.
[11] J. Vlach, J. A. Barby, A. Vannelli, T. Talkhan, and C. J. Shi, "Group delay as an estimate of delay in logic," IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., vol.10, no. 7, July 1991, pp. 949-953.
[12] M. Celik and L. T. Pillegi., "Metrics and bound for phase delay and signal attenuation in RC(L) clock trees," IEEE Trans.Comput.-Aided Des. Integr. Circuits Syst., vol.18, no. 3, Mar. 1999, pp. 293-300.