Title
Ilp-Based Bitwidth-Aware Subexpression Sharing For Area Minimization In Multiple Constant Multiplication
Abstract
The notion of multiple constant multiplication (MCM) is extensively adopted in digital signal processing (DSP) applications such as finite impulse filter (FIR) designs. A set of adders is utilized to replace regular multipliers for the multiplications between input data and constant filter coefficients. Though many algorithms have been proposed to reduce the total number of adders in an MCM block for area minimization, they do not consider the actual bitwidth of each adder, which may not estimate the hardware cost well enough. Therefore, in this article we propose a bitwidth-aware MCM optimization algorithm that focuses on minimizing the total number of adder bits rather than the adder count. It first builds a subexpression graph based on the given coefficients, derives a set of constraints for adder bitwidth minimization, and then optimally solves the problem through integer linear programming (ILP). Experimental results show that the proposed algorithm can effectively reduce the required adder bit count and outperforms the existing state-of-the-art techniques.
Year
DOI
Venue
2014
10.1587/transfun.E97.A.931
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
finite impulse response (FIR) filter, multiple constant multiplication (MCM), bitwidth, integer linear programming (ILP)
Discrete mathematics,Multiplication,Minification,Mathematics
Journal
Volume
Issue
ISSN
E97A
4
0916-8508
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Bu-Ching Lin141.47
Juinn-Dar Huang227027.42
Jing-Yang Jou368188.55