مدلسازي آزمايشي سيستم‌هاي دوبعدي با ساختار ARMA
محورهای موضوعی : مهندسی برق و کامپیوتر
مهدیه سادات سعدآبادی
1
,
مسعود شفیعی
2
,
مهدی کراری
3
1 - دانشگاه صنعتی امیرکبیر
2 - دانشگاه صنعتی امیرکبیر
3 - دانشگاه صنعتی امیرکبیر
کلید واژه: تخمین پارامترتعیین مرتبه مدلسيستم‌هاي دوبعدیمدل ARMA دوبعدیمدل‌سازی آزمایشی,
چکیده مقاله :
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.
In this paper, experimental modeling of two-dimensional discrete systems with ARMA structure is considered. Therefore two-dimensional model order selection and parameter estimation problems are proposed. This method shows that the information of AR and MA orders are implicitly contained in two different correlation matrices and the AR and MA orders of the 2-D ARMA model can be independently determined before parameter estimation. The two-dimensional model is assumed to be causal, stable, linear, and spatial shift-invariant with quarter plane (QP) support. Numerical Simulations are presented to show the good performance and effectiveness of the proposed method in two-dimensional discrete system with ARMA structure.
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