Index Generation Functions (Synthesis Lectures on Digital Circuits & Systems)

Sasao, Tsutomu

Springer International Publishing AG（2019/10発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 165 p.
• 言語 ENG
• 商品コード 9783031799105

Full Description

Index generation functions are binary-input integer valued functions. They represent functions of content addressable memories (CAMs). Applications include: IP address tables; terminal controllers; URL lists; computer virus scanning circuits; memory patch circuits; list of English words; code converters; and pattern matching circuits. This book shows memory-based realization of index generation functions. It shows: 1. methods to implement index generation functions by look-up table (LUT) cascades and index generation units (IGU), 2. methods to reduce the number of variables using linear transformations, and 3. methods to estimate the sizes of memories, with many illustrations, tables, examples, exercises, and their solutions.

Contents

Preface.- Acknowledgments.- Introduction.- Applications.- Definitions and Basic Properties.- Index Generation Functions and Their Realizations.- Minimization of Primitive Variables.- Linear Transformations of Input Variables.- Iterative Reduction of Compound Variables.- Irreducible Index Generation Function.- SAT-Based Method to Find Linear Transformations.- Statistical Approach.- Realization Using Four IGUs.- References on Index Generation Functions.- Conclusions.- Bibliography.- Author's Biography.- Index.