Efficient approximation of symbolic expressions for analog behavioral modeling and analysis (2004)
| Venue: | IEEE Trans. Computer-Aided Design Integr. Circuits Syst |
| Citations: | 1 - 1 self |
BibTeX
@ARTICLE{Tan04efficientapproximation,
author = {Sheldon X. -d. Tan and C. -j. Richard Shi and Senior Member},
title = {Efficient approximation of symbolic expressions for analog behavioral modeling and analysis},
journal = {IEEE Trans. Computer-Aided Design Integr. Circuits Syst},
year = {2004},
volume = {23},
pages = {907--918}
}
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Abstract
Abstract — Efficient algorithms are presented to generate approximate expressions for transfer functions and characteristics of large linear analog circuits. The algorithms are based on a compact determinant decision diagram (DDD) representation of exact transfer functions and characteristics. Several theoretical properties of DDDs are characterized, and three algorithms, namely, based on dynamic programming, based on consecutive k-shortest path based, and based on incremental k-shortest path, are presented in this paper. We show theoretically that all three algorithms have time complexity linearly proportional to |DDD|, the number of vertices of a DDD, and that the incremental kshortest path based algorithm is fastest and the most flexible one. Experimental results confirm that the proposed algorithms are the most efficient ones reported so far, and are capable of generating thousands of dominant terms for typical analog blocks in CPU seconds on a modern computer workstation. Index Terms — analog symbolic analysis, circuit simulation, determinant decision diagrams, matrix determinant, behavioral modeling I.
Keyphrases
analog behavioral modeling symbolic expression efficient approximation time complexity several theoretical property approximate expression circuit simulation consecutive k-shortest path behavioral modeling typical analog block efficient one index term flexible one transfer function symbolic analysis incremental k-shortest path modern computer workstation large linear analog circuit dominant term dynamic programming compact determinant decision diagram exact transfer function matrix determinant cpu second determinant decision diagram experimental result abstract efficient algorithm
