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.

scholarly journals A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Luís Simão Ferreira
Keyword(s):  
Monte Carlo ◽  
Lower Bound ◽  
Monte Carlo Simulations ◽  
Entropy Production ◽  
Quantitative Estimate ◽  
Final Section ◽  
Spectral Gap ◽  
Empirical Estimate ◽  
Interacting Particles

<p style='text-indent:20px;'>In this paper, we proceed as suggested in the final section of [<xref ref-type="bibr" rid="b2">2</xref>] and prove a lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles. This bound turns out to be around <inline-formula><tex-math id="M1">\begin{document}$ 0.02 $\end{document}</tex-math></inline-formula>, which is already physically meaningful, and we perform Monte Carlo simulations to provide a better empirical estimate for this value via entropy production inequalities. This finishes a complete quantitative estimate of the spectral gap of the Kac process.</p>

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

scholarly journals An Inclusive Performance Analysis of Single-branch Single-relay AF Transmission in a Mixed Rayleigh-Nakagami-m Fading Environment

2019 ◽  
Vol 3 ◽  
pp. 39-48
Author(s):  
Slimane Benmahmoud
Keyword(s):  
Monte Carlo ◽  
Performance Analysis ◽  
Monte Carlo Simulations ◽  
Ergodic Capacity ◽  
Upper Bounds ◽  
Amplify And Forward ◽  
Single Relay ◽  
Analytical Expressions ◽  
Af Relaying ◽  
Single Branch

In this paper, the end-to-end performance of a single-branch two-hop amplify-and-forward (AF) relaying network in a mixed Rayleigh-Nakagami-m fading environment, is investigated. Four different fading scenarios and three standard relay configurations for each scenario are considered. Exact analytical expressions for the outage probability and tight upper bounds for the ergodic capacity are derived. Results of Monte Carlo simulations are provided to verify the accuracy of the analytical results.

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