Cramer-Rao Lower Bound for Performance Analysis of Leak Detection

2019 ◽  
Vol 145 (6) ◽  
pp. 04019018 ◽  
Author(s):  
Alireza Keramat ◽  
Mohamed S. Ghidaoui ◽  
Xun Wang ◽  
Moez Louati
Keyword(s):  
Performance Analysis ◽  
Lower Bound ◽  
Leak Detection ◽  
Cramer Rao Lower Bound

Exact Cram’er–Rao Lower Bound for Interferometric Phase Estimator

2014 ◽  
Vol 1004-1005 ◽  
pp. 1419-1426
Author(s):  
Zhi Jie Mao ◽  
Zhi Jun Yan ◽  
Hong Wei Li ◽  
Jin Meng
Keyword(s):  
Monte Carlo ◽  
Performance Analysis ◽  
Lower Bound ◽  
Monte Carlo Simulations ◽  
Phase Estimation ◽  
Interferometric Phase ◽  
Estimation Problems ◽  
General Phase ◽  
Cramer Rao Lower Bound ◽  
Close Form

We are concerned with the problem of interferometric phase estimation using multiple baselines. Simple close-form efficient expressions for computing the Cramer-Rao lower bound (CRLB) for general phase estimation problems is derived. Performance analysis of the interferometric phase estimation is carried out based on Monte Carlo simulations and CRLB calculation. We show that by utilizing the Cramer-Rao lower bound we are able to determine the combination of baselines that will enable us to achieve the most accurate estimating performance.

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