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Volume 15 Issue 3
May  1993
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Yang Li-Min, Su Wei-Min, Gu Hong, Geng Run-Tong, Shao Xin. Application of State-space Method to Velocity and Range Profile Estimation of Moving Target for Ultra-wide Band Radar[J]. Journal of Electronics & Information Technology, 2012, 34(5): 1051-1056. doi: 10.3724/SP.J.1146.2011.00986
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.
  • B. G. Mertzios, IEEE Trans. on CAS, CAS-32(1985)2, 201-204.[2]W. S. Lu et al., IEEE Trans. on CAS. CAS-32(1985)10, 1080-1081.[3]T. Lin et al., IEEE Trans. on CAS, CAS-33(1986)7, 724-730.[4]W. S. Lu et al., IEEE Trans. on CAS, CAS-33(1986)10, 965-973.[5]S. J. Varoufakis et al., IEEE Trans. on CAS, CAS-34(1987)3, 289-292.[6]G. E. Antoniou et al., IEEE Trans. on CAS, CAS-35(1988)8, 1055-1058.[7]S. Y. Kung et al., Proc. IEEE, 65(1977)6, 945-961.[8]张宏科等, 电子学报, 18 (1990) 6, 107-109.[9]A. Kawakami, IEEE Trans. on CAS, CAS-37(1990)3, 425-432.[10]T. Hinamoto et al., IEEE Trans. on CAS, CAS-35(1988)5, 609-610.[11]T. Lin et al., IEEE Trans. on CAS, CAS-35(1988)5, 610-611.[12]W. S. Lu et a1., IEEE Trans. on CAS, CAS-35(1988)5, 611-612.[13]M. Kawamata et al., Minimization of sensitivity of 2-D state-space digital filters and its realization to 2-D balanced realizations, Proc. 1987 IEEE on ISCAS, Philadelphia, PA, May[14]87, pp. 710-713.[15]肖承山等, 二阶数字簿波器的近最佳实现,全国NN-SP会议论文集,南京,1991年,第287-290页.[16]肖承山, 伏态空间数字滤波器高效率低噪声的优化实现, 信号处理, 将发表在1993年第3期上.
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