Shyu, Jong-JyJong-JyShyuSOO-CHANG PEIFu, Kuo-ChangKuo-ChangFu2009-03-042018-07-062009-03-042018-07-06199401651684http://ntur.lib.ntu.edu.tw//handle/246246/142419The Lagrange multiplier approach has been widely used to design maximally flat, real coefficients FIR digital filters and differentiators. This paper extends this approach to design arbitrary complex coefficient FIR digital filters with arbitrary frequency response or derivative constraints. The method can easily be extended to design arbitrary two-dimensional complex FIR digital filters with arbitrary frequency response or derivative constraints, too. Several examples are presented to demonstrate the effectiveness of the approach. © 1994.application/pdf555752 bytesapplication/pdfen-UScomplex FIR digital filter; Lagrange multiplier approach; one-sided differentiator; two-dimensional FIR filterConstraint theory; Eigenvalues and eigenfunctions; Frequency response; Large scale systems; Least squares approximations; Multiplying circuits; Complex coefficient; Complex far infrared digital filters; Derivative constraints; Lagrange multiplier approach; One sided differentiator; Two dimensional far infrared filter; Digital filtersjournal article10.1016/0165-1684(94)90040-Xhttp://ntur.lib.ntu.edu.tw/bitstream/246246/142419/1/07.pdf