Global Optimization of Common Subexpressions ... - ACM Digital Library
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Global Optimization of Common Subexpressions ... - ACM Digital Library
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2A-1 Global Optimization of Common Subexpressions for Multiplierless Synthesis of Multiple Constant Multiplications Yuen-Hong Alvin Ho, Chi-Un Lei, Hing-Kit Kwan and Ngai Wong Department of Electrical and Electronic Engineering The University of Hong Kong, Pokfulam Road, Hong Kong Email: {alvin, kwanhk, yliu, nwong}@eee.hku.hk Abstract— In the context of multiple constant multiplication (MCM) design, we propose a novel common subexpression elimination (CSE) algorithm that models the optimal synthesis of coefficients into a 0-1 mixed-integer linear programming (MILP) problem. A time delay constraint is included for synthesis. We also propose coefficient decompositions that combine all minimal signed digit (MSD) representations and the shifted sum (difference) of coefficients. In the examples we demonstrate, the proposed solution space further reduces the number of adders/subtractors in the MCM synthesis.
