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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Xiao, C., Venetsanopoulos, A.N. & Agathoklis, P. Design of 3-D Noncausal Filters with Small Roundoff Noise and No Overflow Oscillations. Multidimensional Systems and Signal Processing 10, 331–343 (1999). https://doi.org/10.1023/A:1008477210229
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DOI: https://doi.org/10.1023/A:1008477210229