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STABILITY OF 2-D DISCRETE SYSTEMS DESCRIBED BY THE FORNASINI-MARCHESINI SECOND MODEL
Hinamoto, Takao 대한전자공학회 1996 APCCAS:Asia Pacific Conference on Circuits And Sys Vol.1 No.1
Based on the Fornasini-Marchesini second local state-space (LSS) model, criteria that sufficiently guarantee the asymptotic stability of 2-D discrete systems are given. A sufficient condition for a 2-D nonlinear discrete system to be free of overflow oscillations is then shown in the case when a 2-D discrete system is employed by saturation arithmetic. Finally, an upper bound on parameter variations which guarantees the asymptotic stability of a perturbed 2-D discrete system is considered. It is shown that the upper bound stated in this paper is less conservative than the existing ones.
Design of Multidimensional Separable-Denominator Digital Filters in the Spatial Domain
Hinamoto, Takao,Doi, Akimitsu 대한전자공학회 1996 APCCAS:Asia Pacific Conference on Circuits And Sys Vol.1 No.1
Based on a concept of minimal decomposition and balanced realization, a novel technique is developed for designing multidimensional (M-D) separable-denominator digital filters in the spatial domain. This is done by decomposing a desired M-D FIR filter into M parts and by representing it by a cascade connection of M 1-D filters. The minimal decomposition treated here can be viewed as an extension of that in 2-D separable-denominator case in some sense. However, the proposed technique differs from the existing one even in 2-D case and is simpler. The amount of calculation required here is relatively small and the stability of the filter is always guaranteed.
Masayoshi Nakamoto,Takao Hinamoto,Shuichi Ohno 대한전자공학회 2009 ITC-CSCC :International Technical Conference on Ci Vol.2009 No.7
In this paper, we propose a new FIR filter structure which consists of the shift operation circuits and single multiplier. Though the approximate accuracy for the required frequency response is not better than that of the general FIR filters, the processing speed is higher because most calculation is the shift operation in this structure. The error caused by the change of filter coefficients distributes in the stop-band, so the sharp cutoff characteristic can be retained. Of course, the stability and linear phase characteristic of the filter is also preserved. Also, we show the algorithms for designing the proposed FIR filters. For designing the single multiplier, the Lagrange multiplier method is used, and for optimization of the shift operation circuits, we propose the branch and bound based algorithm. Finally, we show the effectiveness of the proposed method by using the numerical example.