Circuit Synthesis from Fibonacci Decision Diagrams

Author:

Stankovic Radomir S.1,Astola Jaakko2,Stankovic Milena1,Egiazarian Karen2

Affiliation:

1. Faculty of Electronics, Department of Computer Science, University of Niš, Beogradska 14, Niš 18 000, Serbia

2. International Center for Signal Processing, Tampere University of Technology, Tampere, Finland

Abstract

In decision diagrams (DDs) methods for circuit synthesis, it is possible to directly transfer a DD for a given function f into a network realizing f by the replacement of non-terminal nodes in the DD with the corresponding circuit modules.The chief bottleneck of mapping a DD into a network is the inherent feature that the depth of the network produced, is equal to the number of variables in f . For this reason, it is proposed a method for small depth circuit synthesis through reachability matrices describing connections among the nodes in the DD for f.In this paper, we first generalized DD methods for circuit design to Fibonacci interconnection topologies through the Fibonacci decision diagrams (FibDDs). Then, we extended the small depth circuit synthesis method to FibDDs. In this way, design methods through DDs are completely transferred from Boolean to Fibonacci topologies.

Publisher

Hindawi Limited

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Hardware and Architecture

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