مدلسازي آزمايشي سيستم‌هاي دوبعدي با ساختار ARMA
الموضوعات :
مهدیه سادات سعدآبادی
1
,
مسعود شفیعی
2
,
مهدی کراری
3
1 - دانشگاه صنعتی امیرکبیر
2 - دانشگاه صنعتی امیرکبیر
3 - دانشگاه صنعتی امیرکبیر
الکلمات المفتاحية: تخمین پارامترتعیین مرتبه مدلسيستم‌هاي دوبعدیمدل ARMA دوبعدیمدل‌سازی آزمایشی,
ملخص المقالة :
در اين مقاله، مدلسازي آزمايشي سيستم‌هاي دوبعدي گسسته با ساختار ARMA مورد بررسي قرار گرفته است. در اين راستا، مسئله تعيين مرتبه مدل در سيستم‌هاي دوبعدي و تخمين پارامترهاي مدل دوبعدي مطرح مي‌شود. در اين مقاله نشان داده شده است كه اطلاعات مرتبه بخش‌هاي AR و MA در مدل ARMA دوبعدي، به‌طور ضمني در ماتريس همبستگی داده‌هاي خروجي، مخفي است. در الگوريتم تعيين مرتبه مطرح‌شده، مرتبه بخش‌هاي AR و MA در مدل ARMA دوبعدي به‌طور مستقل و قبل از تخمين پارامترهاي مدل تعيين مي‌شوند. مدل دوبعدي مورد استفاده، علّي، پايدار، تغييرناپذير با شيفت و با ناحيه پشتيباني ربع صفحه (QP) فرض مي‌شود. شبيه‌سازي‌هاي عددي، دقت بالا و عملکرد مطلوب روش مطرح‌شده را در مدلسازي سيستم‌هاي دوبعدي گسسته با ساختار ARMA دوبعدي نشان مي‌دهند.
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