Error analyse of generalized Gaussian noise for alternate Rician fading

Abstract

In this study, error probability analysis of a single-input single-output system with generalized Gaussian noise over alternative Rician fading channels is presented. The proposed analytical study is based on the probability density function approach. In addition to the proposed analytical expressions, asymptotic analysis is also presented, as in mathematical studies in the literature. In this way, the behavior of the considered system model in medium and high average signal to noise ratio conditions is shown. In the error performance studies, the effects of different modulation types, shadowing parameter values, Rician factor values, and noise types are observed. Finally, the accuracy of the analytical studies performed was confirmed by comparing it with the exact numerical simulation results.

Keywords

• Alternate Rician fading
• Generalized Gaussian noise
• Error probability analysis

Alternatif Rician sönümlenmesi için genelleştirilmiş Gauss gürültüsünün hata analizi

Öz

Bu çalışmada bir tek-giriş tek-çıkışlı sistemin alternatif Rician sönümlenmesi durumunda genelleştirilmiş Gauss gürültüsü ile birlikte hata olasılığı analizi sunulmaktadır. Yapılan analizlerde olasılık yoğunluk fonksiyonu temelli yaklaşım kullanılmıştır. Önerilen analitik ifadelere ek olarak, literatürdeki matematiksel çalışmalardaki gibi asimptotik analiz de sunulmuştur. Bu sayede ele alınan sistem modelinin orta ve yüksek ortalama işaret gürültü oranı şartlarındaki davranışları gösterilmiştir. Yapılan performans çalışmalarında farklı modülasyon türlerinin, gölgeleme parametre değerlerinin, Rician faktörü değerlerinin ve gürültü tiplerinin etkileri gözlemlenmiştir. Son olarak, yapılan analitik çalışmaların doğruluğu tam nümerik simülasyon sonuçları ile kıyaslanarak onaylanmıştır.

Anahtar Kelimeler

• Alternatif Rician sönümlenmesi
• genelleştirilmiş Gauss gürültüsü
• hata olasılığı analizi

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