By Guoyong Shi, Sheldon X.-D. Tan, Esteban Tlelo Cuautle (auth.)
This publication presents complete assurance of the new advances in symbolic research thoughts for layout automation of nanometer VLSI platforms. The presentation is geared up in components of basics, easy 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 choice Diagram (BDD) established techniques are studied extensive. The BDD-based hierarchical symbolic research ways, have basically damaged the analog circuit measurement barrier.
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Additional resources for Advanced Symbolic Analysis for VLSI Systems: Methods and Applications
Of course, the above statement only outlines the basic idea of applying BDD for generating a symbolic representation of determinant expansion. More details regarding how to find a reasonably good variable order and how to find shareable determinants are to be introduced in a later chapter dedicated to the DDD method for symbolic network analysis. A detailed implementation strategy for “finding equal determinants” would have several variants. Also, we can establish an optimal order for a special class of matrices that are full matrices.
If a match is found, the existing address of the object is returned for BDD connection; otherwise, the new object is saved to the hash table for future lookup. The BDD sharing by using this principle is illustrated in Fig. 13. Implementing BDD by using the technique of identifying triples was first proposed by Akers in  in 1978. Later in 1990 Brace et al.  further extended this technique by introducing the ITE-based logic operation and the associated triple-based BDD construction techniques.
As a matter of fact, for determinants this approach is indeed feasible and a BDD can be created to store the expansion process symbolically. , remainder) operation of det(A) by removing the terms multiplied by the factor ai,j . The expression in the 32 3 Binary Decision Diagram for Symbolic Analysis right-hand side of (10) is bisectional in that the first term has the factor ai,j while the second does not. This is understood as a binary decision made on the matrix entry ai,j , which is analogous to the Shannon expansion made on a logic variable.