Hyperbolic CORDIC-Based Architecture for Computing Logarithm and Its Implementation

Chen, HuiNanjing Univ, Sch Elect Sci & Engn, Nanjing 210093, Peoples R China. (author)

QC 20210127
We present a CORDIC (Coordinate Rotation Digital Computer)-based method to compute the logarithm function with base 2 and validate this method by software simulation and hardware implementation. Technically, we overcome the limitation of traditional hyperbolic CORDIC and transform it based on the idea of generalized hyperbolic CORDIC so that it can be used to compute $log_{2}x\;(x\;\epsilon \;[1,2))$ . The proposed method requires only simple shift-and-add operations and has a great tradeoff between precision (or speed) and area. In MATLAB, we provide different precisions corresponding to the iterations of the transformed CORDIC for user needs. Using a pipelined structure and setting the number of iterations to be 16 (the average relative error is $2.09\times 10<^>{-6}$ ), we implement an example hardware circuit. Synthesized under the SMIC 65nm CMOS technology, the circuit has an area of 24100 $\mu m<^>{2}$ and computation time of 11.1 ns, which can save 31.04x0025; area and improve 6.92x0025; computation speed averagely compared with existing methods.

TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik hsv//swe
ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering hsv//eng
Hardware
Software
Convergence
Computer architecture
Computational modeling
CMOS technology
Hyperbolic CORDIC
logarithm
shift-add operations
pipelined structure

Cheng, KaifengNanjing Univ, Sch Elect Sci & Engn, Nanjing 210093, Peoples R China. (author)
Lu, ZhonghaiKTH,Elektronik och inbyggda system(Swepub:kth)u1wqy6h0 (author)
Fu, YuxiangNanjing Univ, Sch Elect Sci & Engn, Nanjing 210093, Peoples R China. (author)
Li, LiNanjing Univ, Sch Elect Sci & Engn, Nanjing 210093, Peoples R China. (author)
Nanjing Univ, Sch Elect Sci & Engn, Nanjing 210093, Peoples R China.Elektronik och inbyggda system (creator_code:org_t)

In:IEEE Transactions on Circuits and Systems - II - Express Briefs: Institute of Electrical and Electronics Engineers (IEEE)67:11, s. 2652-26561549-77471558-3791

By the author/editor: Chen, Hui; Cheng, Kaifeng; Lu, Zhonghai; Fu, Yuxiang; Li, Li

About the subject

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