2-D linear phase frequency sampling filters and 2-D linear phase frequency sampling filters with fourfold symmetry

Abstract

In this paper, a system function is developed for two dimensional (2-D) Type 2-2 frequency sampling filters that have real impulse responses and linear phase and for 2-D Type 2-2 frequency sampling filters that have real impulse responses, linear phase and fourfold symmetry. Under certain conditions, these frequency sampling filters can implement narrowband 2-D linear phase filters and narrowband 2-D linear phase filters with fourfold symmetry much more efficiently than direct convolution implementations.