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    • 60. 发明授权
    • High-speed function approximation
    • 高速函数近似
    • US07366745B1
    • 2008-04-29
    • US10861184
    • 2004-06-03
    • Stuart F. ObermanMing Y. Siu
    • Stuart F. ObermanMing Y. Siu
    • G06F1/02
    • G06F7/544
    • Methods and apparatuses are presented for determining coefficients for a polynomial-based approximation of a function, by iteratively estimating a first coefficient, reducing the first coefficient to a lower precision to obtain a first limited-precision coefficient, analytically calculating a second coefficient by taking into account the first limited-precision coefficient, reducing the second coefficient to a lower precision to obtain a second limited-precision coefficient, iteratively estimating a third coefficient by taking into account at least one of the first limited-precision coefficient and the second limited-precision coefficient, and reducing the third coefficient to a lower precision to obtain a third limited-precision coefficient. In one embodiment of the invention, the polynomial-based approximation relates to a minimax approximation of the function approximated, and at least one of the steps for iteratively estimating the first coefficient and iteratively estimating the third coefficient involves use of a Remez exchange algorithm.
    • 提出方法和装置,用于通过迭代地估计第一系数来确定函数的基于多项式的近似的系数,将第一系数降低到较低的精度以获得第一有限精度系数,通过考虑计算第二系数来分析计算第二系数 考虑到第一有限精度系数,将第二系数降低到较低精度以获得第二有限精度系数,通过考虑第一有限精度系数和第二限制精度系数中的至少一个来迭代地估计第三系数 系数,并将第三系数降低到较低的精度,以获得第三有限精度系数。 在本发明的一个实施例中,基于多项式的近似涉及逼近的函数的最小近似,并且用于迭代地估计第一系数并迭代地估计第三系数的步骤中的至少一个涉及使用Remez交换算法。