Sunday 17 September 2017

MATLAB Program for FIR Filter Using Window

Popular window coefficients.
  1. hann() - for hanning window
  2. hamming() - for hamming window
  3. blackman() - for blackman window
  4. kaiser() - for kaiser window
% Program to design a FIR filter using windows.

close all;
clear all;

fp=input('Enter the pass band frequency');
fs=input('Enter the stop band frequency');
rp=input(' Enter the pass band attenuation');
rs=input('Enter the stop band attenuation');
f=input(' Enter the sampling frequency');

%Calculating filter order

num=-20*log10(sqrt(rp*rs))-13;
dem=14.6*(fs-fp)/f;
n=ceil(num/dem);
n=abs(n);

% Normalizing the frequencies

wp=2*fp/f;
ws=2*fs/f;
wn=(ws+wp)/2;

%Adjusting the filter order. The order of window must be an odd number 
%and the order of filter must be one less than that of the window 

if (rem(n,2)==0)
    m=n+1;
else
        m=n;
        n=n-1;
end

%Window sequence calculation

w=hann(m);

%Calculation of filter coefficients

b=fir1(n,wn,'low',w);

%Plotting the filter response

freqz(b,1,500,3000);
TITLE('Magnitude and Phase response');


Output:
%output
%Enter the pass band frequency1000
%Enter the stop band frequency1200
%Enter the pass band attenuation.2
%Enter the stop band attenuation45
%Enter the sampling frequency3000


You can change this lowpass filter to high pass filter by changing the option 'low' to 
'high' in the fir1() function. The output is shown below.



%output
%Enter the pass band frequency1200
%Enter the stop band frequency1000
%Enter the pass band attenuation.2
%Enter the stop band attenuation45
%Enter the sampling frequency3000




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