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40 lines
1.2 KiB
40 lines
1.2 KiB
% gen_rn_coeffs.m
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% David Rowe 13 april 2012
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%
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% Generate root raised cosine (Root Nyquist) filter coefficients
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% thanks http://www.dsplog.com/db-install/wp-content/uploads/2008/05/raised_cosine_filter.m
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function coeffs = gen_rn_coeffs(alpha, T, Rs, Nsym, M)
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Ts = 1/Rs;
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n = -Nsym*Ts/2:T:Nsym*Ts/2;
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Nfilter = Nsym*M;
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Nfiltertiming = M+Nfilter+M;
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sincNum = sin(pi*n/Ts); % numerator of the sinc function
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sincDen = (pi*n/Ts); % denominator of the sinc function
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sincDenZero = find(abs(sincDen) < 10^-10);
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sincOp = sincNum./sincDen;
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sincOp(sincDenZero) = 1; % sin(pix/(pix) =1 for x =0
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cosNum = cos(alpha*pi*n/Ts);
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cosDen = (1-(2*alpha*n/Ts).^2);
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cosDenZero = find(abs(cosDen)<10^-10);
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cosOp = cosNum./cosDen;
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cosOp(cosDenZero) = pi/4;
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gt_alpha5 = sincOp.*cosOp;
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Nfft = 4096;
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GF_alpha5 = fft(gt_alpha5,Nfft)/M;
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% sqrt causes stop band to be amplified, this hack pushes it down again
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for i=1:Nfft
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if (abs(GF_alpha5(i)) < 0.02)
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GF_alpha5(i) *= 0.001;
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endif
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end
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GF_alpha5_root = sqrt(abs(GF_alpha5)) .* exp(j*angle(GF_alpha5));
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ifft_GF_alpha5_root = ifft(GF_alpha5_root);
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coeffs = real((ifft_GF_alpha5_root(1:Nfilter)));
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endfunction
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