Design of 3-D Noncausal Filters with Small Roundoff Noiseand No Overflow Oscillations

  • Authors:

  • Chengshan Xiao;A. N. Venetsanopoulos;P. Agathoklis

  • Affiliations:

  • Wireless Networks, Nortel, Nepean, Ont. K2G 6J8, Canada;Department of Electrical & Computer Engineering, University of Toronto, Ontario, M5S 3G4, CANADA;Department of Electrical & Computer Engineering, University of Victoria, BC, V8W 3P6, Canada

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 1999

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Abstract

The contributionof this paper consists of two individual parts. First, an invertiblemapping technique is presented for 3-D digital system design,and it is applied to approximate 3-D noncausal filters in thespatial domain. Secondly, an algorithm is proposed for obtaininga structure for 3-D IIR filters with small roundoff noise andno overflow oscillations. The design of noncausal filters canbe carried out by three steps: 1), a given noncausalimpulse response is transformed into the first octant using theproposed 3-D invertible mapping technique; 2), thetransformed impulse response in the first octant is approximatedby balanced model reduction of 3-D separable denominator systems;3), the resultant 3-D IIR filter is transformedback to the original coordinates.