Non-recursive discrete filter
    1.
    发明授权
    Non-recursive discrete filter 失效
    非递归离散滤波器

    公开(公告)号:US4125866A

    公开(公告)日:1978-11-14

    申请号:US807168

    申请日:1977-06-16

    IPC分类号: H03H17/06 G06F15/34

    CPC分类号: H03H17/06

    摘要: A non-recursive discrete filter for simultaneously realizing for example two band-pass filter characteristics starting from a given lowpass transfer characteristic, wherein one bandpass filter has an in-phase transfer characteristic and the other filter the quadrature transfer characteristic of this in-phase filter. The central frequency of these filters is f.sub.o and the output sampling frequency is f.sub.s = 8f.sub.o. This discrete filter comprises multiplying means in which input signal samples x(n) are modified by an associated filter coefficient a(i) for generating modified input signal samples z(n,i) = a(i)x(n-i). The coefficients a(i) are the same for both transfer characteristics and are given by: ##EQU1## WHEREIN H.sub.1 (I) REPRESENTS THE DISCRETE IMPULSE RESPONSE OF THE LOWPASS FILTER.To realize the in-phase transfer characteristic the samples z(n,i) are thereafter multiplied by a factor sgn[cos (.pi.i/4)] and the products thus obtained are accumulated.This results in the output signal sample ##EQU2## To realize the quadrature transfer characteristic the samples z(n,i) are thereafter multiplied by a factor sgn[sin(.pi.i/4)] and the products thus obtained are accumulated. This results in the output signal sample ##EQU3##

    摘要翻译: 一种非递归离散滤波器,用于从给定的低通传输特性开始同时实现两个带通滤波器特性,其中一个带通滤波器具有同相传输特性,另一个滤波器具有该同相滤波器的正交传输特性 。 这些滤波器的中心频率为fo,输出采样频率为fs = 8fo。 该离散滤波器包括乘法装置,其中输入信号采样x(n)由用于产生经修改的输入信号样本z(n,i)= a(i)x(n-1))的相关联的滤波器系数a(i)修改。 对于两个传送特性,系数a(i)相同,并由下式给出:对于cos(pi i / 4),a(i)= h 1(i)| cos(pi i / 4) = 1(i)| sin(pi i / 4)|对于cos(pi i / 4)= 0 WHEREIN H1(I)表示低通滤波器的离散冲击响应。