A Class of High Pass Filters Derived From Elliptic Differential Operators
الموضوعات : مجله بین المللی ریاضیات صنعتی
K. Dabighi
1
(Department of mathematic, Kerman Branch, Islamic Azad University, Kerman, Iran.)
A. Nazari
2
(Department of Mathematics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University, Kerman, Iran.)
S. Saryazdi
3
(Department of Electrical Engineering, Shahid Bahonar University, Kerman, Iran.)
V. Momenaei
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.
