Non-recursive in-phase and quadrature discrete filter

Details Non-recursive in-phase and quadrature discrete filter Non-recursive in-phase and quadrature discrete filter

H - Electricity

03

H

328/0.1

H03H 7/24 (2006.01) H03H 17/06 (2006.01)

Patent

CA 1091774

ABSTRACT: 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 fo and the output sampling frequency is fs =8fo. 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: a(i) = h1(i) ¦ cos (.pi.i/4) ¦ for cos(.pi.i/4) ? 0 a(i) = h1(i) ¦ sin (.pi.i/4) ¦ for cos(.pi.i/4) = 0 wherein h1(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 Image 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 Image - 22 -

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