Performance of a wireless communication system based on rectangular quadrature amplitude modulation and L-branch MRC schemes over Fisher-Snedecor F fading channels

Abstract

In this study, average symbol error rate (ASER) of a wireless communication system which employs L-branch maximum ratio combining (MRC) at receiver and uses rectangular quadrature amplitude modulation (RQAM) as a transmission scheme is analyzed under Fisher-Snedecor F fading conditions. The analysis is conducted based on probability density function of total instantaneous signal-to-noise ratio (SNR) at L-branch MRC receiver. A closed-form approximate solution is presented for the ASER of the considered system by utilizing an approximate expression of Gaussian Q function. Then, asymptotic ASER of the system is derived. The ASER is illustrated for different configurations by varying fading parameter (m), shadowing parameter (ms), number of branches (L) and modulation level. In addition, it is also shown that analytical results of the derived approximate expression are close to the ones obtained by the numerical computation of the ASER integral. It is observed that the asymptotic results are in well agreement with other results at high SNR region.

Keywords

• Fisher-Snedecor F fading
• Maximum ratio combining
• Average symbol error rate

Dik açılı dördün genlik modülasyonu ve L-kollu MRC tekniğine dayalı bir kablosuz haberleşme sisteminin Fisher-Snedecor F sönümlü kanallardaki performansı

Öz

Bu çalışmada, iletim yöntemi olarak dik açılı dördün genlik modülasyonunu kullanan L kollu en yüksek oranlı birleştirme alıcısına sahip bir kablosuz haberleşme sisteminin Fisher-Snedecor F sönümlenme koşulları altındaki ortalama sembol hata oranı analiz edilmiştir. Analiz, L kollu en yüksek oranlı birleştirme tekniğine dayalı alıcıdaki toplam anlık işaret-gürültü oranının olasılık yoğunluk fonksiyonuna dayanarak yapılmıştır. Ele alınan sistemin ortalama sembol hata oranı için Gauss Q fonksiyonunun yaklaşık bir ifadesi kullanılarak kapalı formda yaklaşık bir çözüm sunulmuştur. Daha sonra ise sistemin asimptotik ortalama sembol hata oranı türetilmiştir. Sönümlenme parametresi (m), gölgeleme parametresi (ms), kol sayısı (L) ve modülasyon seviyesi değiştirilerek ortalama sembol hata oranı farklı konfigürasyonlar için gösterilmiştir. Buna ek olarak, türetilen yaklaşık ifadenin analitik sonuçları ile ortalama sembol hata oranı integralinin nümerik hesaplanması ile elde edilen sonuçların yakın uyum içinde olduğu da gösterilmiştir. Asimptotik sonuçların ise yüksek işaret-gürültü oranı bölgesinde diğer sonuçlar ile çok iyi uyum gösterdiği gözlenmiştir.

Anahtar Kelimeler

• Fisher-Snedecor F sönümlenmesi
• En yüksek oranlı birleştirme
• Ortalama sembol hata oranı

Kaynakça

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