How can I find the transfer function of a lowpass filter using the Kaiser windowing method?
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From the code given, how can I find the transfer function and the order of the numerator and denominator? I am having trouble on how to implement kaiserord and kaiser into the code.
% design parameters
wp=2000*pi;
ws=3000*pi;
f0=8000;
w0=2*pi*f0;
A=45;
% cut-off frequency
wc=0.5*(wp+ws);
% normalized cut-off frequency
wc_n=wc/(0.5*w0);
% delta cut-off frequency
del_wc=ws-wp;
% delta normalized cut-off frequency
del_wc_n=del_wc/(0.5*w0);
% beta
if(A<=21)
beta=0;
elseif(21<A & A<50)
beta=0.5842*(A-21)^0.4+0.07886*(A-21);
elseif(A>=50)
beta=0.1102*(A-8.7);
end
% order
M=(A-7.95)/(2.285*pi*del_wc_n);
M=ceil(M);
% filter coefficients
b=fir1(M-1,wc_n,'low',kaiser(M,beta));
% magnitude
[H,f]=freqz(b,1,256,f0);
% magnitude spectrum
figure,plot(f,20*log10(abs(H)),'Color',line_color,'LineWidth',line_width),grid
xlabel('f [Hz]','FontSize',font_size), ylabel('20log_{10}(H(f)) [dB]','FontSize',font_size)
title('Magnitude Spectrum','FontSize',font_size)
set(gca,'FontSize',font_size)
set(gca,'XLim',[0 4000]), set(gca,'XTick',[0:500:4000],'FontSize',font_size)
set(gca,'YLim',[-120 20]), set(gca,'YTick',[-120:20:20],'FontSize',font_size)
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