A Class of High Pass Filters Derived From Elliptic Differential Operators
الموضوعات : مجله بین المللی ریاضیات صنعتیK. Dabighi 1 , A. Nazari 2 , S. Saryazdi 3 , V. Momenaei 4
1 - Department of mathematic, Kerman Branch, Islamic Azad University, Kerman, Iran.
2 - Department of Mathematics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University, Kerman, Iran.
3 - Department of Electrical Engineering, Shahid Bahonar University, Kerman, Iran.
4 - Department of Mathematic, Kerman Branch, Islamic Azad University, Kerman, Iran.
الکلمات المفتاحية: Elliptic operators., filters, differential operator, high pass filter, principal symbol,
ملخص المقالة :
In this study, we review the elliptic differential operators and filters, and due to a wide range of elliptic operators, focus on a batch of elliptic operators with constant coefficients second order and then generalizing them to a higher order. Finally by discretization of the elliptic operators, we express and prove two theorems and show that the obtained filters are the high pass.
