On the statistics of the Nakagami-m signal

This paper proposes a fading model that leads to a formal, but simple, method to obtain the exact formula of the Nakagami-m distribution for m=n/2, n a non-zero integer number. Based on such a model the joint distribution of the envelope and its time derivative is accomplished and exact formulas for...

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Bibliographic Details
Published inITS'98 Proceedings. SBT/IEEE International Telecommunications Symposium (Cat. No.98EX202) Vol. 2; pp. 377 - 382 vol.2
Main Authors Yacoub, M.D., Vargas B., J.E., De R. Guedes, L.G.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1998
Subjects
Curve fitting
Fading
Hafnium
Higher order statistics
Inspection
Land mobile radio
Nakagami distribution
Probability density function
Root mean square
Statistical distributions
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Summary:This paper proposes a fading model that leads to a formal, but simple, method to obtain the exact formula of the Nakagami-m distribution for m=n/2, n a non-zero integer number. Based on such a model the joint distribution of the envelope and its time derivative is accomplished and exact formulas for the level crossing rate (closed-form formula) and for the average fade duration are derived. Simulation curves and exact formulas are checked against each other and a perfect agreement between them is attained. Although derived for discrete values of m (m being an integer multiple of 1/2 ) there are no mathematical constraints for these expressions to be used for any real value m/spl ges/ 1/2.
ISBN:0780350308
9780780350304
DOI:10.1109/ITS.1998.718421