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A fast and efficient FPGA-based implementation for solving a system of linear interval equations

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2 Author(s)
Sudarsanam, A. ; Reconfigurable Comput. Group, Utah State Univ., Logan, UT, USA ; Dasu Aravind

This paper addresses the problem of solving a system of linear interval equations (an NP-hard problem), wherein the co-efficients on the LHS and the RHS are all represented using intervals. This problem is transformed into a global optimization problem and a modified branch and bound algorithm suited for an FPGA-based implementation is proposed. This algorithm is modified to extract parallelism and further speed-up is achieved by pipelining the implementation. The implementation was designed using Xilinx 1SE 6.1 and VHDL was the design entry language. A speed-up of 14 for a Xilinx Virtex 2P30 FPGA over a 1.5 GHz Intel Centrino processor based implementation was obtained.

Published in:

Field-Programmable Technology, 2005. Proceedings. 2005 IEEE International Conference on

Date of Conference:

11-14 Dec. 2005