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1 copyright – all rights reserved AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright – all rights reserved
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AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

Aug 07, 2018

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Page 1: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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AAT2: Rician Fading

By Prof. Gregory D. Durgin

Rician Wave Model

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Page 2: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Rician Derivation

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Rician PDF with Various K-factors

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Page 3: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Rician CDF with Various K-factors

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Geometry of Rayleigh/Rician PDFs

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Page 4: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Stephen Oswald Rice

§  1907-1986

§  Famous scientist and mathematician from Bell Labs

§  won the 1983 IEEE Alexander Graham Bell Medal "For his contributions to the fundamental understanding of communications systems and to the underlying mathematics, and for inspiring younger scientists and engineers. ”

§  Originally applied the Rician distribution to large-carrier AM detection problems in famous 1944 paper "Mathematical Analysis of Random Noise"

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Note on Bessel Functions

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Page 5: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Note on Bessel Functions

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Example of Rician Fading Problem

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Page 6: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Solution Using Rician CDFs

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Prob 5 dB dropis about 0.02from graph

Solution Using Rician CDFs

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Prob 5 dB dropis about 0.3from graph

Page 7: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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Rician Parameter Estimation

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Rician Parameter Estimation

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Page 8: AAT2: Rician Fading - Georgia Institute of Technologypropagation.ece.gatech.edu/ECE4370/notes/AAT2.pdf · AAT2: Rician Fading By Prof. Gregory D. Durgin Rician Wave Model copyright

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What Happens for 2 Big Specular Waves?

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