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The Implementation of 32 bits Floating Trigonometric Transcendental sin&cos Function on FPGA based on the CORDIC Algorithm

Li Quan, Shiping Chen, FU Dianhua

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Abstract

本文在传统CORDIC算法的基础之上,通过增加迭代次数,对参数进行了优化筛选,提高了运算精度,使设计出的软核能够在精度要求较高的场合中运行,如实时语音、图像信号处理、滤波技术等.输出数据经过IEEE-754标准化处理,能够直接兼容大多数处理器,扩展了其应用范围.最终在Altera公司Nios Ⅱ处理器中通过增加自定义指令的方式完成了硬件实现.

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What this paper is about

本文在传统CORDIC算法的基础之上,通过增加迭代次数,对参数进行了优化筛选,提高了运算精度,使设计出的软核能够在精度要求较高的场合中运行,如实时语音、图像信号处理、滤波技术等.输出数据经过IEEE-754标准化处理,能够直接兼容大多数处理器,扩展了其应用范围.最终在Altera公司Nios Ⅱ处理器中通过增加自定义指令的方式完成了硬件实现.

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Available abstract

本文在传统CORDIC算法的基础之上,通过增加迭代次数,对参数进行了优化筛选,提高了运算精度,使设计出的软核能够在精度要求较高的场合中运行,如实时语音、图像信号处理、滤波技术等.输出数据经过IEEE-754标准化处理,能够直接兼容大多数处理器,扩展了其应用范围.最终在Altera公司Nios Ⅱ处理器中通过增加自定义指令的方式完成了硬件实现.

Key concepts: CORDIC, Transcendental function, Trigonometric functions, Transcendental number, Field-programmable gate array, Inverse trigonometric functions, Trigonometry, Arithmetic

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