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The η-μ Joint Phase-Envelope Distribution

Daniel Benevides da Costa, Michel Daoud Yacoub

Open publisher page 31 citations

Abstract

This paper derives a simple and closed-form expression for the phase-envelope joint distribution of the η-μ distribution, a general fading model that includes the Hoyt and the Nakagami-m models as special cases. In the same way, the marginal distribution of the phase is also obtained. These analytical expressions reduce in an exact manner to those of the particular cases comprised by the η-μ distribution. Some plots illustrate the behavior of the phase for several fading conditions.

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What this paper is about

This paper derives a simple and closed-form expression for the phase-envelope joint distribution of the η-μ distribution, a general fading model that includes the Hoyt and the Nakagami-m models as special cases. In the same way, the marginal distribution of the phase is also obtained. These analytical expressions reduce in an exact manner to those of the particular cases comprised by the η-μ distribution. Some plots illustrate the behavior of the phase for several fading conditions.

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OpenAlex reports 31 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper derives a simple and closed-form expression for the phase-envelope joint distribution of the η-μ distribution, a general fading model that includes the Hoyt and the Nakagami-m models as special cases. In the same way, the marginal distribution of the phase is also obtained. These analytical expressions reduce in an exact manner to those of the particular cases comprised by the η-μ distribution. Some plots illustrate the behavior of the phase for several fading conditions.

Key concepts: Fading, Nakagami distribution, Envelope (radar), Joint probability distribution, Fading distribution, Distribution (mathematics), Phase (matter), Joint (building)

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