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A fixed-point implementation of the expanded hyperbolic CORDIC algorithm

机译:扩展双曲CORDIC算法的定点实现

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The original hyperbolic CORDIC (Coordinate Rotation Digital Computer) algorithm (Walther, 1971) imposes a limitation to the inputs' domain which renders the algorithm useless for certain applications in which a greater range of the function is needed. To address this problem, Hu et al. (1991) have proposed an interesting scheme which increments the iterations of the original hyperbolic CORDIC algorithm and allows an efficient mapping of the algorithm onto hardware. A fixed-point implementation of the hyperbolic CORDIC algorithm with the expansion scheme proposed by Hu et al. (1991) is presented. Three architectures are proposed: a low cost iterative version, a fully pipelined version, and a bit serial iterative version. The architectures were described in VHDL, and to test the architecture, it was targeted to a Stratix FPGA. Various standard numerical formats for the inputs are analyzed for each hyperbolic function directly obtained: Sinh, Cosh, Tanh-1 and exp. For each numerical format and for each hyperbolic function an error analysis is performed.
机译:原始的双曲线CORDIC(坐标旋转数字计算机)算法(Walther,1971)对输入域施加了限制,这使得该算法在某些需要更大功能范围的应用中无用。为了解决这个问题,Hu等。 (1991)提出了一种有趣的方案,该方案增加了原始双曲线CORDIC算法的迭代次数,并允许将该算法有效地映射到硬件上。 Hu等人提出的扩展方案采用了双曲型CORDIC算法的定点实现。 (1991)提出。提出了三种体系结构:低成本的迭代版本,完整的流水线版本和位串行迭代版本。在VHDL中描述了这些架构,并且为了测试该架构,它以Stratix FPGA为目标。针对直接获得的每个双曲函数,分析了输入的各种标准数值格式:Sinh,Cosh,Tanh-1和exp。对于每个数字格式和每个双曲函数,都将执行错误分析。

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