一般二維數(shù)字系統(tǒng)的低噪聲優(yōu)化實(shí)現(xiàn)
OPTIMAL STATE-SPACE REALIZATIONS OF GENERAL 2-D DIGITAL SYSTEMS WITH LOW ROUNDOFF NOISE
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摘要: 本文給出了一般二維數(shù)字系統(tǒng)的兩種高效率狀態(tài)空間結(jié)構(gòu);導(dǎo)出了這兩種結(jié)構(gòu)的能控性和能觀性格拉姆矩陣的有關(guān)性質(zhì);建立了二維數(shù)字系統(tǒng)定點(diǎn)運(yùn)算的全局噪聲模型;據(jù)此獲得了一般二維數(shù)字系統(tǒng)低噪聲、高效率的優(yōu)化實(shí)現(xiàn),文中舉例說明了本文的兩種結(jié)構(gòu)的噪聲性能和計(jì)算效率各不相同。Abstract: 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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