A Class of High Pass Filters Derived From Elliptic Differential Operators

محورهای موضوعی : 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.)

تاریخ دریافت : 1397/12/02 تاریخ پذیرش : 1398/03/11 تاریخ انتشار : 1399/01/13

کلید واژه: Elliptic ‎operators.‎, filters, differential operator, high pass filter, principal symbol,

چکیده مقاله :

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.