Time-Division Multiplexing Realizations of Multiple-Output Functions Based on Shared Multi-Terminal Multiple-Valued Decision Diagrams

Hafiz Md. HASAN BABU  Tsutomu SASAO  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E82-D   No.5   pp.925-932
Publication Date: 1999/05/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8532
Type of Manuscript: Special Section PAPER (Special Issue on Multiple-Valued Logic and Its Applications)
Category: Logic Design
Keyword: 
multiple-valued decision diagram (MDD),  multiple-valued logic,  multiple-output function,  time-division multiplexing (TDM),  

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Summary: 
This paper considers methods to design multiple-output networks based on decision diagrams (DDs). TDM (time-division multiplexing) systems transmit several signals on a single line. These methods reduce: 1) hardware; 2) logic levels; and 3) pins. In the TDM realizations, we consider three types of DDs: shared binary decision digrams (SBDDs), shared multiple-valued decision diagrams (SMDDs), and shared multi-terminal multiple-valued decision diagrams (SMTMDDs). In the network, each non-terminal node of a DD is realized by a multiplexer (MUX). We propose heuristic algorithms to derive SMTMDDs from SBDDs. We compare the number of non-terminal nodes in SBDDs, SMDDs, and SMTMDDs. For nrm n, log n, and for many other benchmark functions, SMTMDD-based realizations are more economical than other ones, where nrm n is a (2n)-input (n1)-output function computing (X2+Y2)+0.5, log n is an n-input n-output function computing (2n1)log(x1)/nlog2, and a denotes the largest integer not greater than a.