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Download e-book for iPad: Advanced Symbolic Analysis for VLSI Systems: Methods and by Guoyong Shi, Sheldon X.-D. Tan, Esteban Tlelo Cuautle

By Guoyong Shi, Sheldon X.-D. Tan, Esteban Tlelo Cuautle (auth.)

ISBN-10: 1493911023

ISBN-13: 9781493911028

ISBN-10: 1493911031

ISBN-13: 9781493911035

This e-book presents accomplished insurance of the hot advances in symbolic research thoughts for layout automation of nanometer VLSI platforms. The presentation is equipped in elements of basics, simple implementation tools and functions for VLSI layout. themes emphasised comprise statistical timing and crosstalk research, statistical and parallel research, functionality certain research and behavioral modeling for analog built-in circuits. one of the contemporary advances, the Binary selection Diagram (BDD) dependent ways are studied extensive. The BDD-based hierarchical symbolic research methods, have primarily damaged the analog circuit dimension barrier.

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Additional resources for Advanced Symbolic Analysis for VLSI Systems: Methods and Applications

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The application of BDD to the problem of spanning tree enumeration was first proposed in [26, 204], where a graph-pair reduction method was proposed for symbolic analysis of analog networks. A graph comparison mechanism was also developed there for identifying the subgraph isomorphism for sharing. We shall expand on the details in a later chapter. 3 Benefits of Using BDD for Symbolic Analysis The advantages of using BDD for logic synthesis and verification have been reported in many places. In contrast, the benefits of using BDD for symbolic network analysis have some common parts and other parts different from logic BDDs.

4a is different from that shown in Fig. 4b, and they cannot be made identical without changing the variable order. 2 Canonicity of BDD 25 F = ab + cd F = ab + cd a

Standard balanced truncation methods, however, are known to be computationally too expensive for direct application to large integrated circuit problems, owing to the cubic polynomial complexity of solving two Lyapunov equations. In addition, it takes considerable knowledge of control theory and numerical procedures to implement balanced truncation in a stable way [102, 176]. Especially for nonstandard systems, additional decompositions and special treatments are required [91, 151, 220]. To remedy this problem, several gramian approximation methods have been proposed [110, 152, 263, 207, 266], where the approximated dominant subspace of a gramian can be obtained in a variety of efficient ways.

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Advanced Symbolic Analysis for VLSI Systems: Methods and Applications by Guoyong Shi, Sheldon X.-D. Tan, Esteban Tlelo Cuautle (auth.)

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