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Jumat, 27 Desember 2013

SIMULATION OF QUADRATURE MIRROR FILTER

SIMULATION OF QUADRATURE MIRROR FILTER - In the past, when I started to start blogging, many thoughts disturbed me. I want to have a blog with a nice and interesting look. I am constantly looking for basic tutorials from some web and blogs on the internet. And thankfully, one by one I started to do it, and of course have to go through some confusion process first, but the most important of a blog that is content, yes on the blog Innaz Review we will discuss a lot of information about gadgets that are very in need by you, now we will discuss first about SIMULATION OF QUADRATURE MIRROR FILTER please refer to the information we will convey until completion:

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SIMULATION OF QUADRATURE MIRROR FILTER

SIMULATION OF QUADRATURE MIRROR FILTER
AIM:
To simulate the frequency response of quadrature mirror for a two channel filter band.
THEORY:
The QMF filter is used in the sub-band coding. This filter can be used for reducing aliasing. This is a multirate digital filter structure that employes 2 decimeter in signal synthesis section. The low pass and high pass filters in the analysis section have impulse response filters (n) and (n) respectively.
Similarly the low pass filter and high pass filters contained in the synthesis section have impulse response filters (n) and (n) respectively. To reduce aliasing the synthesis section have impulse response (n) and (n) respectively,
(ω)= (ω)
(ω)=- (ω-π)
Since (ω) and (ω)is a mirror image filters
H0(ω)=H(ω)
H1(ω)=H(ω- π)
G0(ω)=2H(ω)
This is due to the above design, aliasing effects cancels.
ALGORITHM:
1. Generate the low pass filter
2. Generate the high pass filter
3. Compute the gain response of two filters
4. Plot the gain response of two filters.













QUADRATURE MIRROR FILTER:






X(ω)








FILTER CHARACTERISTICS FOR SUB-BAND CODING


Gain
H0 (ω) H1 (ω)

PROGRAM
####################################################
clc;
clear all;

%generation of complimentary lpf
b1=fir1(50,0.5);

%generation of complimentary hpf
l=length(b1);
for k=1:l
    b2(k)=((-1)^k)*b1(k)
end

%computation of gain response of two filters
[H1Z,W]=freqZ(b1,1,256);
H1=abs(H1Z);
g1=20*log10(H1);
[H2Z,W]=freqZ(b2,1,256);
H2=abs(H2Z);
g2=20*log10(H2);

%PLOT OF GAIN RESPONSE OF TWO FILTERS
plot((W*180)/pi,g1,'-',(W*180)/pi,g2,'-');
grid on
xlabel('normalized freq');
ylabel('gain');

#############################################################

RESULT:
 Thus the frequency response of quadrature mirror filter for a two channel filter bands was simulated.





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