| Timed Boolean Functions: A Unified Formalism for Exact Timing Analysis 1994 Edition Contributor(s): Lam, William K. C. (Author), Brayton, Robert K. (Author) |
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ISBN: 0792394542 ISBN-13: 9780792394549 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: April 1994 Annotation: Timing research in high performance VLSI systems has advanced at a steady pace over the last few years. Tools, however, especially theoretical mechanisms, lag behind. Much of the present timing research relies heavily on timing diagrams, which although intuitive, are inadequate for analysis of large designs with many parameters. Further, timing diagrams offer only approximations, not exact solutions to many timing problems and provide little insight in the cases where temporal properties of a design interact intricately with the design's logical functionalities. Timed Boolean Functions presents a methodology for timing research which facilitates analysis and design of circuits and systems in a unified temporal and logical domain. The goal of the book is to present the central idea of representing logical and timing information in a common structure, TBFs, and to present a canonical form suitable for efficient manipulation. This methodology is then applied to practical applications to provide intuition and insight into the subject so that these general methods can be adapted to specific engineering problems and also to further the research necessary to enhance the understanding of the field. Timed Boolean Functions is written for professionals involved in timing research and digital designers who want to enhance their understanding of the timing aspects of high speed circuits. The prerequisites are a common background in logic design, computer algorithms, combinatorial optimization and a certain degree of mathematical sophistication. |
| Additional Information |
| BISAC Categories: - Computers | Logic Design - Technology & Engineering | Electrical - Technology & Engineering | Electronics - Circuits - General |
| Dewey: 621.395 |
| LCCN: 94008519 |
| Series: Kluwer International Series in Engineering & Computer Science |
| Physical Information: 0.69" H x 6.14" W x 9.21" (1.31 lbs) 273 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Timing research in high performance VLSI systems has advanced at a steady pace over the last few years, while tools, especially theoretical mechanisms, lag behind. Much present timing research relies heavily on timing diagrams, which, although intuitive, are inadequate for analysis of large designs with many parameters. Further, timing diagrams offer only approximations, not exact solutions, to many timing problems and provide little insight in the cases where temporal properties of a design interact intricately with the design's logical functionalities. This book presents a methodology for timing research which facilitates analy- sis and design of circuits and systems in a unified temporal and logical domain. In the first part, we introduce an algebraic representation formalism, Timed Boolean Functions (TBF's), which integrates both logical and timing informa- tion of digital circuits and systems into a single formalism. We also give a canonical form, TBF BDD's, for them, which can be used for efficient ma- nipulation. In the second part, we apply Timed Boolean Functions to three problems in timing research, for which exact solutions are obtained for the first time: 1. computing the exact delays of combinational circuits and the minimum cycle times of finite state machines, 2. analysis and synthesis of wavepipelining circuits, a high speed architecture for which precise timing relations between signals are essential for correct operations, 3. verification of circuit and system performance and coverage of delay faults by testing. |