Determining the Attractor in a Nonlinear Process Controlled by Linear Decoupling

Keyword(s):  
Author(s):  
B.J. Cain ◽  
G.L. Woods ◽  
A. Syed ◽  
R. Herlein ◽  
Toshihiro Nomura

Abstract Time-Resolved Emission (TRE) is a popular technique for non-invasive acquisition of time-domain waveforms from active nodes through the backside of an integrated circuit. [1] State-of-the art TRE systems offer high bandwidths (> 5 GHz), excellent spatial resolution (0.25um), and complete visibility of all nodes on the chip. TRE waveforms are typically used for detecting incorrect signal levels, race conditions, and/or timing faults with resolution of a few ps. However, extracting the exact voltage behavior from a TRE waveform is usually difficult because dynamic photon emission is a highly nonlinear process. This has limited the perceived utility of TRE in diagnosing analog circuits. In this paper, we demonstrate extraction of voltage waveforms in passing and failing conditions from a small-swing, differential logic circuit. The voltage waveforms obtained were crucial in corroborating a theory for some failures inside an 0.18um ASIC.


Measurement ◽  
2021 ◽  
Vol 171 ◽  
pp. 108782
Author(s):  
Jiazhen Zhu ◽  
Hongbo Shi ◽  
Bing Song ◽  
Yang Tao ◽  
Shuai Tan ◽  
...  

2003 ◽  
Vol 17 (04) ◽  
pp. 153-158 ◽  
Author(s):  
HONG-YI FAN ◽  
HAI-LIANG LU

A new generalized Jaynes–Cummings model based on two-mode photon number-difference and operational phase is presented. The excitation of the atom is proportional to the net variation of the competion of two modes of photons in some nonlinear process. The corresponding Hamiltonian is diagonalized by virtue of the supersymmetric transform.


2021 ◽  
Vol 100 ◽  
pp. 1-10
Author(s):  
Mohammad Aminul Islam Khan ◽  
Syed Imtiaz ◽  
Faisal Khan

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