Title :
Time-Multiplexed Multiple-Constant Multiplication
Author :
Tummeltshammer, Peter ; Hoe, James C. ; Püschel, Markus
Author_Institution :
Univ. of Technol., Vienna
Abstract :
This paper studies area-efficient arithmetic circuits to multiply a fixed-point input value selectively by one of several preset fixed-point constants. We present an algorithm that generates a class of solutions to this time-multiplexed multiple-constant multiplication problem by ldquofusingrdquo single-constant multiplication circuits for the required constants. Our evaluation compares our solution against a baseline implementation style that employs a full multiplier and a lookup table for the constants. The evaluation shows that we gain a significant area advantage, at the price of increased latency, for problem sizes (in terms of the number of constants) up to a threshold dependent on the bit-widths of the input and the constants. Our evaluation further shows that our solution is better suited for standard-cell application-specific integrated circuits than prior works on reconfigurable multiplier blocks.
Keywords :
fixed point arithmetic; multiplying circuits; reconfigurable architectures; table lookup; arithmetic circuits; fixed-point constants; lookup table; multiplier; reconfigurable multiplier block; single-constant multiplication circuit fusing; standard-cell application-specific integrated circuits; time-multiplexed multiple-constant multiplication; Adders; Application specific integrated circuits; Costs; Delay; Field programmable gate arrays; Fixed-point arithmetic; Hardware; Iterative algorithms; Multiplexing; Table lookup; Addition chain; multiplierless; reconfigurable multiplier block (ReMB);
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2007.893549