2021
DOI: 10.4314/tjs.v47i5.8
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Determination of Cramer-Rao Lower Bound (CRLB) and Minimum Variance Unbiased Estimator of a DC Signal in AWGN Using Laplace Transform

Abstract: This paper presents an alternative approach for the determination of Cramer-Rao Lower Bound (CRLB) and Minimum Variance Unbiased Estimator (MVUE) using Laplace transformation. In this work, a DC signal in Additive White Gaussian Noise (AWGN) was considered. During the investigation, a number of experiments were conducted to analyze different possible outputs under different conditions, and then the patterns of the outcomes were studied. Finally closed-form expressions for the CRLB and MVUE were deduced employi… Show more

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“…It can be mathematically modeled using Eq. ( 1 ) 65 . Where P( ) is the probability density function for the noise ( ), Denotes the Pi, is the variance of the noise, is the base of the natural logarithm is approximately equal to 2.71828.…”
Section: Methodsmentioning
confidence: 99%
“…It can be mathematically modeled using Eq. ( 1 ) 65 . Where P( ) is the probability density function for the noise ( ), Denotes the Pi, is the variance of the noise, is the base of the natural logarithm is approximately equal to 2.71828.…”
Section: Methodsmentioning
confidence: 99%