Design of 3-D FIR Cone-Shaped Filters by McClellan Transformation and Least-Squares Contour Mapping

In this paper, the techniques of McClellan transformation and least-squares contour mapping are applied for the design of 3-D FIR cone-shaped filters directly. While it is difficult to find an unified set of constraints for the design of 3-D transformation sub filters with wide range of inclination degree θ, 0° <; θ <; 90° for example, two approaches are proposed and each of them can be used for cone-shaped filter design of a specified inclination range. Several examples will be presented to demonstrate the effectiveness of the proposed methods.