Implementation structure of 3-D FIR digital filters based on the transformation method
ISCGAV'08 Proceedings of the 8th conference on Signal processing, computational geometry and artificial vision
3-D FIR cone-shaped filter design by a nest of Mcclellan transformations and its variable design
IEEE Transactions on Circuits and Systems Part I: Regular Papers
On the design of 2-D inverse and 2-D Wiener filters
CSECS '10 Proceedings of the 9th WSEAS international conference on Circuits, systems, electronics, control & signal processing
New general transformations for 2-D FIR and IIR filters' design
WSEAS Transactions on Circuits and Systems
Transformations for direct design of 2-D filters from appropriate 1-D functions
WSEAS Transactions on Circuits and Systems
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This paper presents an efficient technique for designing three-dimensional (3-D) finite-impusle-response (FIR) digital filters having cone-shaped magnitude response. The McClellan transformation method is used as basis of the design. The new approach proposes a closed form solution for the transform coefficients of the mapping function. A simultaneous determination of the 1-D cutoff frequency of the prototype filter is also considered. The newly obtained relations for the transform parameters are very simple and depend on the angle of inclination of the cone. Additionally, the analytical expressions for the impulse response coefficients of the transformation subfilter are also derived. The behavior of the transformation function is examined, followed by several detailed examples with different input specifications of designed 3-D cone filters.