بررسی تأثیر کانال‌های فیدینگ صاف بر عملکرد حالت دائم شبکه‌های تطبیقی با مشارکت نفوذی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه ملایر - گروه مهندسی برق

2 دانشگاه تبریز - دانشکده مهندسی برق و کامپیوتر

چکیده

شبکه‌های تطبیقی نفوذی به عنوان روشی قدرتمند برای حل مسائل مربوط به تخمین توزیع‌شده شناخته می‌شوند. نتایج موجود بیان‌گر آن است که در صورت ایده‌آل بودن ارتباط بین گره‌های شبکه، الگوریتم‌های مبتنی بر شبکه تطبیقی نفوذی برای حل مسئله تخمین یک راه‌حل کاملاً کارآمد می‌باشند. بااین‌حال، فرض ایده‌آل بودن لینک‌های بین گره‌های شبکه در عمل چندان دقیق نیست. در این مقاله به بررسی تأثیر کانال‌های فیدینگ صاف بر روی عملکرد حالت دائمی شبکه‌های تطبیقی با مشارکت نفوذی می‌پردازیم. بدین منظور از روش موسوم به بقای انرژی استفاده کرده و رفتار حالت دائم شبکه را برحسب معیارهای MSD و EMSE به دست می‌آوریم. همچنین محدوده پایداری شبکه برحسب بازه ضریب گام را به دست می‌آوریم. روابط به‌دست‌آمده نشان می‌دهد که برخلاف شبکه ایده‌آل، با کاهش مقدار ضریب گام، مقدار نهایی خطا (خطای حالت دائم) افزایش می‌یابد. همچنین صحت روابط تئوری به‌دست‌آمده را با نتایج حاصل از شبیه‌سازی بررسی می‌نماییم.

کلیدواژه‌ها

عنوان مقاله [English]

On the Effects of Flat Fading Channels on the Steady-State Performance of Diffusion Adaptive Networks

نویسندگان [English]

  • Azam Khalili 1
  • Amir Rastegarnia 1
  • Vahid Vahidpour 1
  • Tohid Yousefi Rezaii 2
1 Department of Electrical Engineering, University of Malayer
2 Faculty of Electrical and Computer Engineering, University of Tabriz
چکیده [English]

Adaptive networks are known as powerful solution for distributed estimation problems. It is shown in available works that, under the ideal link condition, diffusion adaptive networks are efficient solutions for distributed estimation. However, ideal link is not a practical assumption for many applications. Thus, this paper aims to study the steady-state performance of diffusion adaptive networks with flat fading channels. Using the energy conservation argument, we derive closed-form expressions for EMSE and MSD metrics. We also derive the required bound (in terms of the step size parameter) for stability of diffusion adaptive network with fading links. Our analysis shows that in this condition, steady-state curves are not monotonic increasing functions of step size. We provide simulation results to support the analysis.

کلیدواژه‌ها [English]

  • Diffusion adaptive networks
  • distributed estimation
  • steady state
  • fading channel

مراجع

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