Three-Dimensional Cone FIR Filters Design using the McClellan Transform

This paper discusses the design of three-dimensional (3D) FIR cone-shaped filters using the McClellan transform. The new approach proposes a closed-form analytical solution for the transform coefficients in design of this type of filers. A simultaneous determination of the 1D cut-off frequency of the prototype filter is also included in the method. Further, some discussion is addressed to the design of a scaled transform. The performance of the generated transformation function is presented, followed by several 3D magnitude responses obtained with the proposed method. The newly derived expressions are very attractive for real-time adaptive filter design.