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Volume 15 Issue 3
May  1993
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Xiao Chengshan, Feng Zhenming. OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE[J]. Journal of Electronics & Information Technology, 1993, 15(3): 225-234.
Citation: Xiao Chengshan, Feng Zhenming. OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE[J]. Journal of Electronics & Information Technology, 1993, 15(3): 225-234.

OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE

  • Received Date: 1992-03-05
  • Rev Recd Date: 1992-08-20
  • Publish Date: 1993-05-19
  • Two computationally efficient state-space structures for general 2-D digital systems described by Roesser s local state-space model are presented. Some properties of controllability and observability Gramians of the above two structures are derived. The overall roundoff noise model of 2-D digital systems implemented with fixed-point arithmetic is given. On the basis of the above theory, the low roundoff noise optimal state-space realizations of general 2-D digital systems are obtained. Finally, an example is given to demonstrate the differences of round- off noise arid computational efficiency between the above two structures.
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