Apparatus and method for approximating the magnitude of a complex number
    1.
    发明公开
    Apparatus and method for approximating the magnitude of a complex number 失效
    装置和用于近似复数的大小的方法。

    公开(公告)号:EP0264256A2

    公开(公告)日:1988-04-20

    申请号:EP87309031.0

    申请日:1987-10-13

    申请人: RAYTHEON COMPANY

    IPC分类号: G06F15/347

    摘要: This vector magnitude approximating method uses logarithms of vector's orthogonal components to select multiplier scaling constants (K x ,K y ) and to minimize arithmetic-function and hardware complexity. The vector magnitude is approximated by multiplying (20,22) each component (X,Y) of a complex number representing the vector by selected scaling constants (K x ,K y ) and then by summing (24) the two resulting products (K x X,K y Y). The scaling constants (K x ,K y ) are selected by feeding each orthogonal component (X,Y) into one of two identical logic arrays (10,12) which determine the base-2 logarithm of the absolute value of each component. The resulting logarithm values are fed, in parallel, into a third logic array (14) which outputs an address to real and imaginary constant read-only memory generators (16,18) for providing respective scaling constant pairs (K x ,K y ) which are used in computing the approximate magnitude of the vector or complex number. The apparatus is particularly applicable to a high-throughput, pipelined, digital signal processing application such as radar.

    摘要翻译: 该载体大小近似方法使用矢量的分量正交,选择乘法器缩放常量(KX,KY),并尽量减少算术功能和硬件复杂度的对数。 矢量大小由乘法的逼近(20,22)表示通过按比例缩放选择常数(KX,KY)和矢量复数的每个分量(X,Y),然后通过求和(24)在两个所得产品(KXX,KYY )。 缩放常量(KX,KY)是通过将各正交分量(X,Y)中选出成两个相同的逻辑阵列中的一个(10,12)确定哪个矿每个分量的绝对值的基数为2的对数。 将所得的对数值被馈送,并联到第三逻辑阵列(14),其输出,以解决对实部和虚常数只读存储器发生器(16,18),用于提供respectivement比例常数对(KX,KY)哪些是 在计算向量或复数的近似大小使用。 该装置特别适用于高通量的,流水线,数字信号处理应用:如雷达。

    Apparatus and method for approximating the magnitude of a complex number
    2.
    发明公开
    Apparatus and method for approximating the magnitude of a complex number 失效
    装备装置和装置的方法以及用于对复合数复合数进行补偿的方法

    公开(公告)号:EP0264256A3

    公开(公告)日:1990-02-07

    申请号:EP87309031.0

    申请日:1987-10-13

    申请人: RAYTHEON COMPANY

    IPC分类号: G06F15/347

    摘要: This vector magnitude approximating method uses logarithms of vector's orthogonal components to select multiplier scaling constants (K x ,K y ) and to minimize arithmetic-function and hardware complexity. The vector magnitude is approximated by multiplying (20,22) each component (X,Y) of a complex number representing the vector by selected scaling constants (K x ,K y ) and then by summing (24) the two resulting products (K x X,K y Y). The scaling constants (K x ,K y ) are selected by feeding each orthogonal component (X,Y) into one of two identical logic arrays (10,12) which determine the base-2 logarithm of the absolute value of each component. The resulting logarithm values are fed, in parallel, into a third logic array (14) which outputs an address to real and imaginary constant read-only memory generators (16,18) for providing respective scaling constant pairs (K x ,K y ) which are used in computing the approximate magnitude of the vector or complex number. The apparatus is particularly applicable to a high-throughput, pipelined, digital signal processing application such as radar.