子網(wǎng)絡(luò)抽取定理和多端反饋網(wǎng)絡(luò)的拓?fù)涔?/h2>
TOPOLOGICAL FORMULAS FOR SUBNETWORK-EXTRAC- TION THEOREMS AND MULTITERMINAL FEEDBACK NETWORKS
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摘要: 本文提出了混合圖關(guān)于二點(diǎn)對和超邊分解的變形圖的概念,應(yīng)用它們和有向超圖理論導(dǎo)出了參數(shù)抽取定理和子網(wǎng)絡(luò)抽取定理的拓?fù)涔?進(jìn)而導(dǎo)出了多端反饋有源網(wǎng)絡(luò)的拓?fù)涔?。公式中反饋?zhàn)泳W(wǎng)絡(luò)與基本子網(wǎng)絡(luò)的參數(shù)是分開的,便于看出反饋參數(shù)的影響;而且由于把一個(gè)網(wǎng)絡(luò)分解成二個(gè)較小的子網(wǎng)絡(luò),可以降低計(jì)算的時(shí)間復(fù)雜度和空間復(fù)雜度。
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關(guān)鍵詞:
- 網(wǎng)絡(luò)理論; 圖論; 有向超圖; 超邊分解; 變形圖
Abstract: The concepts of modified graphs of a composite graph with respect to two vertex-pairs and a hyperedge-decomposition are introduced. By using these concepts and the directed hypergraph theory, the topological formulae for the parameter-extraction theorem and subnetwork-extraction theorems are derived, then the topological formulae for multiterminal feedback networks are presented. In these formulae the parameters of the feedback subnetwork are separated from that of the fundamental subnetwork, so that it is convenient to find out the effect of the feedback parameters. Furthermore, since one network is decomposed into two smaller subnetworks, the computing time complexity and space complexity can be reduced. -
黃汝激, 電子學(xué)報(bào), 1987年, 第3期, 第60-69頁.[2]G. E. Alderson and P. M. Lin, IEEE Trans. on CT. CT-20 (1973),48-56.[3]W. K. Chen, Active Network and Feedback Amplifier Theory, New York, McGtaw-Hill, 1980.[4]黃汝激, 電子科學(xué)學(xué)刊, 9(1987), 244-255.[5]黃汝激, 電子科學(xué)學(xué)刊, 7(1985), 254-266.[6]黃汝激,電子學(xué)報(bào),1987年,第1期, 第1-9頁.[7]黃汝激,電子學(xué)報(bào),1987年, 第5期, 第8-14頁. -
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