Fixed-Point Acceleration of Square Root and Logarithm Using Quadratic Regression for HTK Kernel Modules

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Title:	Fixed-Point Acceleration of Square Root and Logarithm Using Quadratic Regression for HTK Kernel Modules
Authors:	Chou, Chih-Hung Lin, Po-Chuan Wang, Jhing-Fa 林博川 (東方設計學院電子與資訊系)
Contributors:	東方設計學院電子與資訊系
Date:	2011-12-13
Issue Date:	2015-07-14 14:27:44 (UTC+8)
Publisher:	Shenzhen, China
Abstract:	This paper proposes a low-computation algorithm for logarithm and square-root in fixed-point domain. The algorithm only needs 3 ~ 6 coefficients to do inner-product of vectors which have three elements. Each computation only needs three fixed-point multiplications and two fixed-point additions to accomplish logarithm and square-root operations. According to the experimental results, the relative error is less than 0.075% and 0.6% for square-root and logarithm operation, respectively. Comparing with the CORDIC algorithm, the proposed algorithm can provide the same precision and save 4 ~ 7 times additions, 33 ~ 40% lookup table operations, and 33% ~ 40% memory requirements, that indicates that the proposed algorithm is more efficient and appropriate for IC design.
Relation:	The fourth international conference on genetic and evolutionary computing conference program, pp.602-605
Appears in Collections:	[Department of Electronics Engineering and Computer Science] conference

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