Discrete transversal filter

Details Discrete transversal filter Discrete transversal filter

H - Electricity

03

H

328/0.6

H03H 7/01 (2006.01) H03H 17/02 (2006.01)

Patent

CA 1070778

PHF 75-613 ABSTRACT Digital transversal filter for realizing a low- pass filter with a cut-off frequency fg and an impulse res- ponse h1(i), a lowpass filter derived therefrom having a cut- off frequency 2fg which has a transfer characteristic which is in phase with the first-mentioned lowpass filter, as well as a lowpass filter with a quadrature transfer characteristic of the in-phase filter. Herewith the sampling frequency fs is an integral multiple of 2fg. This discrete filter is pro- vided with multipliers for multiplying input samples x(n) by an associated coefficient a(i) for generating modified input samples z(n,i) = a(i)x(n-i). The coefficients a(i) are the same for all three transfer characteristics and are given by: a(i) = h1(i). Groups of modified input samples z(n,i) are thereafter added together for generating sum values P(n,r) which are given by: Image To realize the lowpass filter with cut-off frequency fg these sum values are added together for generating an output sample Image To realize the in-phase filter these sum values are multiplied by a factor cos(2?rfg/fs) for generating an output sample PHF 75-613 Image To realize the quadrature filter the sum values are multiplied by a factor sin(2 ? rfg/fs) for generating an output sample Image

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