**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

**Abstract:**

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):**
doi.org/10.5281/zenodo.1073633

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