Designs of two-dimensional linear phase FIR filters using fractional derivative constraints

Authors:
Chien-Cheng Tseng;Su-Ling Lee
Affiliations:
Department of Computer and Communication Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan;Department of Computer Science and Information Engineering, Chang Jung Christian University, Tainan, Taiwan
Venue:
Signal Processing
Year:
2013

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Abstract

In this paper, the designs of two-dimensional linear phase FIR filters using fractional derivative constraints are investigated. There are two kinds of designs to be studied. One is the quadrantally even symmetric linear phase filters, the other is the quadrantally odd symmetric linear phase filters. In these two designs, the filter coefficients are both determined by minimizing integral squares errors under the constraints that the ideal response and actual response have several same fractional derivatives at the prescribed frequency point. Some numerical examples are demonstrated to show that the proposed method has larger design flexibility than the conventional integer derivative constrained methods. Finally, the min-max design and peak-constrained design with fractional derivative constraints are also studied.