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# Digital Filter Transformation - LPF to BPF (correct)

Language: Scilab

Processor: Not Relevant

Submitted by Senthilkumar R on Mar 24 2011

# Digital Filter Transformation - LPF to BPF (correct)

Transformation of LPF IIR Digital Butterworth Filter into BPF using Digital FIlter Transformation

//Transformation of  LPF IIR Digital Butterworth Filter into BPF
clear all;
clc;
close;
omegaP = 0.2*%pi;
omegaL =  (2/5)*%pi;
omegaU =  (3/5)*%pi;
z=poly(0,'z');
H_LPF = (0.245)*(1+(z^-1))/(1-0.509*(z^-1))
alpha = (cos((omegaU+omegaL)/2)/cos((omegaU-omegaL)/2));
k = (cos((omegaU - omegaL)/2)/sin((omegaU - omegaL)/2))*tan(omegaP/2);
NUM =-((z^2)-((2*alpha*k/(k+1))*z)+((k-1)/(k+1)));
DEN = (1-((2*alpha*k/(k+1))*z)+(((k-1)/(k+1))*(z^2)));
HZ_BPF=horner(H_LPF,NUM/DEN)
disp(HZ_BPF,'Digital BPF IIR Filter H(Z)= ')
HW  =frmag(HZ_BPF(2),HZ_BPF(3),512);
W = 0:%pi/511:%pi;
plot(W/%pi,HW)
a=gca();
a.thickness = 3;
a.foreground = 1;
a.font_style = 9;
xgrid(1)
xtitle('Magnitude Response of BPF Filter cutoff frequency [0.4,0.6]','Normalized Digital Frequency--->','Magnitude');

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posted by Senthilkumar R

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