Design of 3-D Noncausal Filters with Small Roundoff Noise and No Overflow Oscillations |
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Authors: | Xiao Chengshan Venetsanopoulos A. N. Agathoklis P. |
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Affiliation: | (1) Wireless Networks, Nortel, Nepean, Ont, K2G 6J8, Canada;(2) Department of Electrical & Computer Engineering, University of Toronto, Ontario, M5S 3G4, CANADA;(3) Department of Electrical & Computer Engineering, University of Victoria, BC, V8W 3P6, Canada |
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Abstract: | The contribution of this paper consists of two individual parts. First, an invertible mapping technique is presented for 3-D digital system design, and it is applied to approximate 3-D noncausal filters in the spatial domain. Secondly, an algorithm is proposed for obtaining a structure for 3-D IIR filters with small roundoff noise and no overflow oscillations. The design of noncausal filters can be carried out by three steps: 1), a given noncausal impulse response is transformed into the first octant using the proposed 3-D invertible mapping technique; 2), the transformed impulse response in the first octant is approximated by balanced model reduction of 3-D separable denominator systems;3), the resultant 3-D IIR filter is transformed back to the original coordinates. |
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Keywords: | 3-D IIR filters noncausal filters invertible mapping technique roundoff noise overflow oscillations |
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