High Performance Novel Square Root Architecture Using Ancient Indian Mathematics for High Speed Signal Processing  

作　　者：Arindam Banerjee Aniruddha Ghosh Mainuck Das 

机构地区：[1]Department of ECE, JIS College of Engineering, Kalyani, India

出　　处：《Advances in Pure Mathematics》2015年第8期428-441,共14页理论数学进展（英文）

摘　　要：Novel high speed energy efficient square root architecture has been reported in this paper. In this architecture, we have blended ancient Indian Vedic mathematics and Bakhshali mathematics to achieve a significant amount of accuracy in performing the square root operation. Basically, Vedic Duplex method and iterative division method reported in Bakhshali Manuscript have been utilized for that computation. The proposed technique has been compared with the well known Newton-Raphson’s (N-R) technique for square root computation. The algorithm has been implemented and tested using Modelsim simulator, and performance parameters such as the number of lookup tables, propagation delay and power consumption have been estimated using Xilinx ISE simulator. The functionality of the circuitry has been checked using Xilinx Virtex-5 FPGA board.Novel high speed energy efficient square root architecture has been reported in this paper. In this architecture, we have blended ancient Indian Vedic mathematics and Bakhshali mathematics to achieve a significant amount of accuracy in performing the square root operation. Basically, Vedic Duplex method and iterative division method reported in Bakhshali Manuscript have been utilized for that computation. The proposed technique has been compared with the well known Newton-Raphson’s (N-R) technique for square root computation. The algorithm has been implemented and tested using Modelsim simulator, and performance parameters such as the number of lookup tables, propagation delay and power consumption have been estimated using Xilinx ISE simulator. The functionality of the circuitry has been checked using Xilinx Virtex-5 FPGA board.

关 键 词：Vedic MATHEMATICS Bakhshali MATHEMATICS DUPLEX Yavadunam Sutra 

分 类 号：O1[理学—数学]