NDLI: Design of Two-Dimensional Zero-Phase FIR Digital Filter by McClellan Transformation and Interval Global Optimization

Content Provider	IEEE Xplore Digital Library
Author	Yanming Wang Jiguang Yue Yongqing Su Hao Liu
Copyright Year	2004
Abstract	The McClellan transformation is widely used to design the 2-D FIR filters. It is an essential task to determine the transform coefficients so that the square errors are minimized. This issue can be viewed as a nonlinear optimization problem with constraint conditions. This brief proposed the interval analysis (IA) to solve this nonlinear optimization problem. There are two distinguishing features of the proposed method when compared with conventional methods, such as quadratic programming, eigenfilter approach or Lagrange multiplier method, etc. First, the transform parameters are obtained by minimizing the integral of the squared errors along the desired contour, instead of discrete sampling. Second, the IA guarantees that the constraint conditions could be always satisfied, thus ensuring the reliability of the optimization. A 2-D fan filter and a diamond-shaped filter are designed, which demonstrate the feasibility of the presented method; images are processed to verify the effectiveness of the designed 2-D fan filter.
Sponsorship	IEEE Circuits and Systems Society
Starting Page	167
Ending Page	171
Page Count	5
File Size	588531
File Format	PDF
ISSN	15497747
Volume Number	60
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite impulse response filter Transforms Optimization methods Algorithm design and analysis Design methodology 2-D FIR filter Interval analysis (IA) interval global optimization McClellan transformation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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