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    METHOD AND APPARATUS FOR HIGH SPEED DETERMINATION OF J?th ROOTS AND RECIPROCALS OF J?th ROOTS
    3.
    发明公开
    METHOD AND APPARATUS FOR HIGH SPEED DETERMINATION OF J?th ROOTS AND RECIPROCALS OF J?th ROOTS 失效
    高速和方法J-TEN根系厘定IPMENT J-TEN根和倒数。

    公开(公告)号：EP0461214A1

    公开(公告)日：1991-12-18

    申请号：EP90917368.0

    申请日：1990-11-13

    申请人： MOTOROLA, INC.

    发明人： LINDSLEY, Brett, Louis

    IPC分类号： G06F7

    CPC分类号： G06F7/5525 ,  G06F2207/5521

    摘要： L'invention a pour objet un procédé et un système utilisant la ''Loi de Lindsley'', algorithme de convergence polynôme, adaptable même aux taux de convergence élevés, pour mettre en application une racine jème inverse plus efficace et, de ce fait, la racine jème elle-même, pour calculer des quantités désirées. L'invention met l'accent sur la multiplication (114, 116, 118, 120) au lieu de l'addition, en tant qu'opérateur itératif, de ce fait réduisant l'erreur à un taux relatif à une puissance d'un taux de convergence sélectionné.

    ROUNDING RECIPROCAL SQUARE ROOT RESULTS
    4.
    发明授权
    ROUNDING RECIPROCAL SQUARE ROOT RESULTS 有权

    公开(公告)号：EP3159788B1

    公开(公告)日：2018-08-29

    申请号：EP16194577.9

    申请日：2016-10-19

    申请人： Imagination Technologies Limited

    发明人： VAN BENTHEM, Casper ,  ELLIOTT, Sam

    IPC分类号： G06F7/499 ,  G06F7/552

    CPC分类号： G06F7/483 ,  G06F7/49947 ,  G06F7/49963 ,  G06F7/552 ,  G06F7/5525 ,  G06F2207/5521

    摘要： Methods and systems for determining whether an infinitely precise result of a reciprocal square root operation performed on an input floating point number is greater than a particular number in a first floating point precision. The method includes calculating the square of the particular number in a second lower floating point precision; calculating an error in the calculated square due to the second floating point precision; calculating a first delta value in the first floating point precision by calculating the square multiplied by the input floating point number less one; calculating a second delta value by calculating the error multiplied by the input floating point number plus the first delta value; and outputting an indication of whether the infinitely precise result of the reciprocal square root operation is greater than the particular number based on the second delta term. To be accompanied, when published, by FIG. 3 of the accompanying drawings.

    ROUNDING RECIPROCAL SQUARE ROOT RESULTS
    5.
    发明公开
    ROUNDING RECIPROCAL SQUARE ROOT RESULTS 有权
    圆形倒圆角方根结果

    公开(公告)号：EP3159788A1

    公开(公告)日：2017-04-26

    申请号：EP16194577.9

    申请日：2016-10-19

    申请人： Imagination Technologies Limited

    发明人： VAN BENTHEM, Casper ,  ELLIOTT, Sam

    IPC分类号： G06F7/499 ,  G06F7/552

    CPC分类号： G06F7/483 ,  G06F7/49947 ,  G06F7/49963 ,  G06F7/552 ,  G06F7/5525 ,  G06F2207/5521

    摘要： Methods and systems for determining whether an infinitely precise result of a reciprocal square root operation performed on an input floating point number is greater than a particular number in a first floating point precision. The method includes calculating the square of the particular number in a second lower floating point precision; calculating an error in the calculated square due to the second floating point precision; calculating a first delta value in the first floating point precision by calculating the square multiplied by the input floating point number less one; calculating a second delta value by calculating the error multiplied by the input floating point number plus the first delta value; and outputting an indication of whether the infinitely precise result of the reciprocal square root operation is greater than the particular number based on the second delta term.
    To be accompanied, when published, by FIG. 3 of the accompanying drawings.

    摘要翻译： 用于确定在输入浮点数上执行的倒数平方根操作的无限精确结果是否大于第一浮点精度中的特定数量的方法和系统。 该方法包括以第二较低浮点精度计算特定数量的平方; 计算由于第二浮点精度而导致的计算平方的误差; 通过计算乘以输入浮点数减去一的平方来计算第一浮点精度的第一增量值; 通过计算误差乘以输入浮点数加上第一增量值来计算第二增量值; 并基于第二增量项输出对倒数平方根运算的无限精确结果是否大于特定数的指示。 伴随着，当出版时，由图。 附图3。

    METHOD AND APPARATUS FOR HIGH SPEED DETERMINATION OF Jth ROOTS AND RECIPROCALS OF Jth ROOTS
    6.
    发明授权
    METHOD AND APPARATUS FOR HIGH SPEED DETERMINATION OF Jth ROOTS AND RECIPROCALS OF Jth ROOTS 失效
    高速和方法J-TEN根系厘定IPMENT J-TEN根及倒数

    公开(公告)号：EP0461214B1

    公开(公告)日：1997-08-06

    申请号：EP90917368.4

    申请日：1990-11-13

    申请人： MOTOROLA, INC.

    发明人： LINDSLEY, Brett, Louis

    IPC分类号： G06F7/38

    CPC分类号： G06F7/5525 ,  G06F2207/5521

    摘要： A method and apparatus is disclosed that utilizes ''Lindsley's Law'', a polynomial convergence algorithm, suitable even for high convergence rates, to implement more efficient reciprocal jth root, and hence, jth root itself, computations of desired inputs. The invention emphasizes multiplication (114, 116, 118, 120), instead of addition, as the iterative operator, thereby reducing error at a rate relative to a power of a selected convergence rate.

    Method and circuit for calculating the reciprocal of the amplitude of a vector
    7.
    发明公开
    Method and circuit for calculating the reciprocal of the amplitude of a vector 失效
    Verfahren und Schaltungsanordnung zur Berechnung des Kehrwerts der Amplitude eines Vektors。

    公开(公告)号：EP0603794A1

    公开(公告)日：1994-06-29

    申请号：EP93120528.0

    申请日：1993-12-20

    申请人： FUJITSU LIMITED

    发明人： Kaku, Takashi, Fujitsu Ltd., 1015 Kami-kodanaka ,  Miyazawa, Hideo, Fujitsu Ltd., 1015 Kami-kodanaka

    IPC分类号： G06F7/552 ,  G06F15/347

    CPC分类号： G06F7/5525 ,  G06F7/4806 ,  G06F7/552 ,  G06F17/10 ,  G06F2207/5521 ,  G06F2207/5525

    摘要： The method and circuit find the reciprocal value of an input vector signal. The level of the input vector signal (X + jY) is first reduced to (X + jY)/ 2 in an overflow-preventing circuit. A power calculating circuit squares and adds the components of the level-reduced input vector signal, thereby obtaining a power value (X² + Y²)/2 . An initial value of a tap value (K), which represents the reciprocal value to be found, is multiplied twice by a multiplying circuit, thereby obtaining K²(X + Y)²/2 . Further, a differential circuit obtains an error signal (ΔK) = 1/2 - K²(X² + Y²)/2 by subtraction from a reference value. An updating circuit updates the tap value (K) by adding to it the error signal (ΔK). A loop consisting of the multiplication of the tap value, differential operation, and updating of the tap value, is repeated until the error signal (ΔK) is reduced to less than or equal to a predetermined value. The tap value (K) thus obtained is the desired reciprocal value 1/√(X² + Y²) of the amplitude of the input vector signal. The method and circuit can be used for amplitude normalization in a modem, for example.

    摘要翻译： 方法和电路找到输入向量信号的倒数值。 在溢出防止电路中，输入矢量信号（X + jY）的电平首先降低到（X + jY）/ 2。 功率计算电路对电平降低输入矢量信号的分量进行平方并相加，从而获得功率值（X 2 + Y 2）/ 2。 通过乘法电路将代表要发现的倒数值的抽头值（K）的初始值相乘2次，从而获得K 2（X + Y）2/2。 此外，差分电路通过从参考值减法来获得误差信号（DELTA K）= 1/2-K 2（X 2 + Y 2）/ 2。 更新电路通过向其加上误差信号（DELTA K）来更新抽头值（K）。 重复由抽头值，微分运算和抽头值的更新组成的回路，直到误差信号（DELTA K）减小到小于或等于预定值。 由此获得的抽头值（K）是输入矢量信号幅度的期望的互逆值1 / 2ROOT（X 2 + Y 2）。 例如，该方法和电路可用于调制解调器中的幅度归一化。