SOO-CHANG PEIShyu, Jong-JyJong-JyShyu2009-03-042018-07-062009-03-042018-07-06199501651684http://ntur.lib.ntu.edu.tw//handle/246246/142435https://www.scopus.com/inward/record.uri?eid=2-s2.0-0029327702&doi=10.1016%2f0165-1684%2895%2900012-3&partnerID=40&md5=4deaa8f4efc04b2189327773052eb844A new method for searching the coefficients of the McClellan transformation is proposed for designing 2-D FIR digital filters in this paper. It can design arbitrary shape transformation contours to map from 1-D prototypes to 2-D FIR filters very effectively. Certain conditions are composed such that the scaling problem of the transformation can be avoided. Also, a new generalized McClellan transformation is presented, so it can be applied to design 2-D filters with complex coefficients. Several examples including fan filters with arbitrary inclination, elliptically symmetric filters with arbitrary orientation, and full-plane complex filters are presented, which demonstrates the effectiveness of this method. © 1995.application/pdf525470 bytesapplication/pdfen-US2-D complex filter; 2-D FIR digital filter; Analytical least-squares approach; Fan-type filter; McClellan transformationComputational methods; Least squares approximations; Mathematical models; Mathematical transformations; Signal filtering and prediction; Arbitrary shape transformation contours; Contour mapping; McClellan transformation; Digital filtersjournal article10.1016/0165-1684(95)00012-32-s2.0-0029327702http://ntur.lib.ntu.edu.tw/bitstream/246246/142435/1/23.pdf