Theoretical Derivation of Effective Channel Capacity Expression for Beaulieu-Xie Shadowed Fading Channels

Abstract

This study presents the effective channel capacity (Ceff) analysis for a communication system in which the line between transmitter and receiver has a single path including Beaulieu-Xie shaded (BX-shadowed, BX-S) fading. In the study, the Ceff expression is theoretically derived, and the probability density function (PDF) of BX-S fading is used for the derivations. The accuracy of the Ceff expression is tried to be demonstrated with computer simulations, and various scenarios are examined with different parameter changes.

Keywords

• Communication system
• effective channel capacity
• Beaulieu-Xie shadowed fading channel

Beaulieu-Xie Gölgelemeli Sönümlü Kanallar İçin Efektif Kanal Kapasite İfadesinin Kuramsal Türetimi

Öz

Bu çalışma, alıcı-verici arasındaki hattın tek ve Beaulieu-Xie gölgelemeli (BX-shadowed, BX-S) sönümlenmeye sahip olduğu bir sistem için efektif kanal kapasitesi (effective channel capacity, Ceff) analizini sunmaktadır. Çalışmada Ceff ifadesi kuramsal olarak türetilmekte, türetimler için BX-S sönümlenmesine ait olasılık yoğunluk fonksiyonundan (probability density function, PDF) yararlanılmaktadır. Ceff ifadesinin doğruluğu bilgisayar benzetimleri ile gösterilmeye çalışılmakta, farklı parametre değişimleri ile çeşitli senaryolar incelenmektedir.

Anahtar Kelimeler

• Haberleşme sistemi
• efektif kanal kapasitesi
• Beaulieu-Xie gölgelemeli sönümlü kanal

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