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Efficient design of SVD-based 2-D digital filters using specification symmetry and order-selecting criterion

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3 Author(s)
Tian-Bo Deng ; Dept. of Inf. Sci. Fac. of Sci., Toho Univ., Chiba, Japan ; Saito, E. ; Okamoto, E.

Two-dimensional (2-D) digital filters are widely useful in image processing and other 2-D digital signal processing fields, but designing 2-D filters is much more difficult than designing one-dimensional (1-D) ones. This paper provides a new insight into the existing singular value decomposition (SVD)-based design approach in the sense that the SVD-based design can be performed more efficiently by exploiting the symmetry of the given 2-D magnitude specifications. By using the specification symmetry, only half of the 1-D digital filters (subfilters) need to be designed, which significantly simplifies the design process and reduces the computer storage required for 1-D subfilter coefficients. Another novel point of this paper is that an objective criterion is proposed for selecting appropriate subfilter orders in order to reduce the hardware implementation cost. A design example is given to illustrate the effectiveness of the SVD-based design approach by exploiting specification symmetry and new order-selecting criterion.

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:50 ,  Issue: 2 )