Low-Latency Hardware Implementation of High-Precision Hyperbolic Functions Sinh<i>x</i> and Cosh<i>x</i> Based on Improved CORDIC Algorithm

CORDIC algorithm is used for low-cost hardware implementation to calculate transcendental functions. This paper proposes a low-latency high-precision architecture for the computation of hyperbolic functions sinh<i>x</i> and cosh<i>x</i> based on an improved CORDIC algorithm,...

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Bibliographic Details
Main Authors: Wenjia Fu, Jincheng Xia, Xu Lin, Ming Liu, Mingjiang Wang
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/20/2533
Description
Summary:CORDIC algorithm is used for low-cost hardware implementation to calculate transcendental functions. This paper proposes a low-latency high-precision architecture for the computation of hyperbolic functions sinh<i>x</i> and cosh<i>x</i> based on an improved CORDIC algorithm, that is, the QH-CORDIC. The principle, structure, and range of convergence of the QH-CORDIC are discussed, and the hardware circuit architecture of functions sinh<i>x</i> and cosh<i>x</i> using the QH-CORDIC is plotted in this paper. The proposed architecture is implemented using an FPGA device, showing that it has 75% and 50% latency overhead over the two latest prior works. In the synthesis using TSMC 65 nm standard cell library, ASIC implementation results show that the proposed architecture is also superior to the two latest prior works in terms of total time (latency × period), ATP (area × total time), total energy (power × total time), energy efficiency (total energy/efficient bits), and area efficiency (efficient bits/area/total time). Comparison of related works indicates that it is much more favorable for the proposed architecture to perform high-precision floating-point computations on functions sinh<i>x</i> and cosh<i>x</i> than the LUT method, stochastic computing, and other CORDIC algorithms.
ISSN:2079-9292