Application of symmetry results in 3-D digital filter design

The authors present a systematic way of designing a three-dimensional (3-D) filter, using the symmetries in the given specifications. A step-by-step procedure for optimization-based design is given. To illustrate the advantage of this procedure, two filter design examples are presented. The first example is the design of a 3-D spherically symmetric low-pass filter. The second is the design of a conic filter, similar to a fan filter in two dimensions. The examples show a significant reduction in CPU time.<
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