Open AccessDerivation of Probability Distribution Function for Noisy Signal
Author(s) -
Zahraa Ch. Oleiwi,
Noori F. Al-Mayahi,
Donya Jasim Sabib,
Nagham Kamil Hadi
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1294/3/032028
Subject(s) - multiplicative noise , additive white gaussian noise , gaussian noise , probability density function , multiplicative function , mathematics , noise (video) , estimator , gaussian , white noise , signal (programming language) , statistics , algorithm , computer science , mathematical analysis , signal transfer function , physics , artificial intelligence , telecommunications , analog signal , transmission (telecommunications) , quantum mechanics , image (mathematics) , programming language
The work in this paper produces mathematically derivation for Probability density function (PDF) of proposed noisy signal model. Two types of noise are considered: zero mean Gaussian multiplicative noise and phase noise. Cramer-Rao bound (CRB) expression of frequency estimator for single tone sinusoidal signal under zero mean Gaussian multiplicative noise and additive Gaussian noise (AWGN) are derived. The obtained simulation results support investigating mathematical and comparative study.