计算机应用与软件
計算機應用與軟件
계산궤응용여연건
COMPUTER APPLICATIONS AND SOFTWARE
2014年
2期
279-282
,共4页
黄晓可%刘洛琨%汪涛%郭虹
黃曉可%劉洛琨%汪濤%郭虹
황효가%류락곤%왕도%곽홍
CORDIC%算法%免扩展%指数函数%对数函数
CORDIC%算法%免擴展%指數函數%對數函數
CORDIC%산법%면확전%지수함수%대수함수
CORDIC algorithm%Scaling-free%Exponential function%Logarithmic function
提出一种改进的SF-CORDIC（Scaling-free-Coordinate Rotation DIgital Computer）算法用于实现指数函数和对数函数的硬件计算。在双曲坐标系下，算法通过适当选取麦克劳林展开式的近似阶数，可完全省去扩展因子的计算，并利用重复基本迭代和数据预处理以扩展收敛域和计算范围。同时给出算法在双曲坐标系下旋转模式和向量模式的迭代结构。仿真实验表明，在相同精度要求下该算法相比常规CORDIC算法可减少12％面积开销。
提齣一種改進的SF-CORDIC（Scaling-free-Coordinate Rotation DIgital Computer）算法用于實現指數函數和對數函數的硬件計算。在雙麯坐標繫下，算法通過適噹選取麥剋勞林展開式的近似階數，可完全省去擴展因子的計算，併利用重複基本迭代和數據預處理以擴展收斂域和計算範圍。同時給齣算法在雙麯坐標繫下鏇轉模式和嚮量模式的迭代結構。倣真實驗錶明，在相同精度要求下該算法相比常規CORDIC算法可減少12％麵積開銷。
제출일충개진적SF-CORDIC（Scaling-free-Coordinate Rotation DIgital Computer）산법용우실현지수함수화대수함수적경건계산。재쌍곡좌표계하，산법통과괄당선취맥극로림전개식적근사계수，가완전성거확전인자적계산，병이용중복기본질대화수거예처리이확전수렴역화계산범위。동시급출산법재쌍곡좌표계하선전모식화향량모식적질대결구。방진실험표명，재상동정도요구하해산법상비상규CORDIC산법가감소12％면적개소。
An enhanced scaling-free CORDIC algorithm is proposed for implementing the hardware computation of exponential and logarith-mic functions.By proper selection of the approximated order of Maclaurin series the algorithm can completely eliminates the scale-factor com-putation,and uses repeated basic iteration and data pre-processing to extend the domain of convergence and computation scope.Meanwhile, both the rotation mode and vectoring mode of the proposed algorithm in hyperbolic coordinate system is presented.Simulation experiments demonstrate that 12% area consumption is able to be reduced comparing with the conventional CORDIC for same computation accuracy re-quirement.
