مقاوم سازی الگوریتم شکل دهی پرتو

روش‌های هوشمند در صنعت برق

مقاله 3، دوره 5، شماره 17، خرداد 1393، صفحه 21-30   

نوع مقاله: مقاله پژوهشی

نویسندگان

سجاد دهقانی^{* 1}؛ ناصر پرهیزگار²

¹دانشگاه آزاد اسلامی واحد علوم و تحقیقات فارس

²دانشکده مهندسی برق- واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران

چکیده

عملکرد الگوریتم‌های شکل‌دهی پرتو در شرایط عدم قطعیت در بردار هدایت و یا در ماتریس کوواریانس داده، به شدت خراب می‌شوند. در این مقاله یک روش جدید برای مقاوم سازی الگوریتم شکل‌دهی پرتو وفقی حداقل واریانس ارائه می‌شود که هم نسبت به عدم قطعیت در بردار هدایت و هم نسبت به عدم قطعیت در ماتریس کوواریانس داده مقاوم می‌باشد. این روش شامل حداقل‌سازی یک مسأله بهینه سازی با تابع هزینه مرتبه دوم و قید غیر محدب است. در این مقاله نشان داده خواهد شد که مسأله بهینه سازی غیر محدب به یک مسأله محدب تبدیل شده و بردار وزن شکل دهنده پرتو مقاوم سازی شده به دست می‌آید.

کلیدواژه‌ها

مقاوم سازی؛ عدم قطعیت؛ شکل دهنده پرتو حداقل واریانس با پاسخ بدون اعوجاج؛ Convex Optimization

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