2009 IEEE International Conference on
Systems, Man, and Cybernetics |
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Abstract
Forward Krawtchouk moment transform (FKMT) needs
more computations when a straightforward method of computation is
chosen. Hence, this paper proposes a simple recursive method to reduce
the number of computations using a Clenshaw¡¯s recurrence formula.
Further, it is also shown that the number of computations can still be
reduced by using the symmetry property of weighted Krawtchouk
polynomials that are used to define FKMT. The proposed approach is
verified with theoretical calculations as well as CPU time required for
computation of FKMT of 1D and 2D points. The obtained recursive
structure is simple and modular, Hence, it is suitable for parallel VLSI
implementation.