| oct3spec(B,A,Fs,Fc,s,n); |
function [g,f] = oct3spec(B,A,Fs,Fc,s,n);
% OCT3SPEC Plots a one-third-octave filter characteristics.
% OCT3SPEC(B,A,Fs,Fc) plots the attenuation of the filter defined by
% B and A at sampling frequency Fs. Fc is the center frequency of
% the one-third-octave filter. The plot covers one decade on both sides
% of Fc.
%
% OCT3SPEC(B,A,Fs,Fc,'ANSI',N) superposes the ANSI Order-N analog
% specification for comparison. Default is N = 3.
%
% OCT3SPEC(B,A,Fs,Fc,'IEC',N) superposes the characteristics of the
% IEC 61260 class N specification for comparison. Default is N = 1.
%
% [G,F] = OCT3SPEC(B,A,Fs,Fc) returns two 512-point vectors with
% the gain (in dB) in G and logarithmically spaced frequencies in F.
% The plot can then be obtained by SEMILOGX(F,G)
%
% See also OCT3DSGN, OCTSPEC, OCTDSGN.
% Author: Christophe Couvreur, Faculte Polytechnique de Mons (Belgium)
% couvreur@thor.fpms.ac.be
% Last modification: Sept. 4, 1997, 11:00am.
% References:
% [1] ANSI S1.1-1986 (ASA 65-1986): Specifications for
% Octave-Band and Fractional-Octave-Band Analog and
% Digital Filters, 1993.
% [2] IEC 61260 (1995-08): Electroacoustics -- Octave-Band and
% Fractional-Octave-Band Filters, 1995.
if (nargin < 4) | (nargin > 6)
error('Invalide number of input arguments.');
end
ansi = 0;
iec = 0;
if nargin > 4
if strcmp(lower(s),'ansi')
ansi = 1;
if nargin == 5
n = 3;
end
elseif strcmp(lower(s),'cei') | strcmp(lower(s),'iec')
iec = 1;
if nargin == 5
n = 1
end
if (n < 0) | (n > 3)
error('IEC class must be 0, 1, or 2');
end
end
end
N = 512;
pi = 3.14159265358979;
F = logspace(log10(Fc/10),log10(min(Fc*10,Fs/2)),N);
H = freqz(B,A,2*pi*F/Fs);
G = 20*log10(abs(H));
% Set output variables
if nargout ~= 0
g = G; f = F;
return
end
% Generate the plot
if (ansi) % ANSI Order-n specification
f = logspace(log10(Fc/10),log10(Fc*10),N);
f1 = Fc/(2^(1/6));
f2 = Fc*(2^(1/6));
Qr = Fc/(f2-f1);
Qd = (pi/2/n)/(sin(pi/2/n))*Qr;
Af = 10*log10(1+Qd^(2*n)*((f/Fc)-(Fc./f)).^(2*n));
semilogx(F,G,f,-Af,'--');
legend('Filter',['ANSI order-' int2str(n)],0);
elseif (iec) % CEI specification
semilogx(F,G);
hold on
if n == 0
tolup = [ .15 .15 .15 .15 .15 -2.3 -18.0 -42.5 -62 -75 -75 ];
tollow = [ -.15 -.2 -.4 -1.1 -4.5 -realmax -inf -inf -inf -inf -inf ];
elseif n == 1
tolup = [ .3 .3 .3 .3 .3 -2 -17.5 -42 -61 -70 -70 ];
tollow = [ -.3 -.4 -.6 -1.3 -5 -realmax -inf -inf -inf -inf -inf ];
elseif n == 2
tolup = [ .5 .5 .5 .5 .5 -1.6 -16.5 -41 -55 -60 -60 ];
tollow = [ -.5 -.6 -.8 -1.6 -5.5 -realmax -inf -inf -inf -inf -inf ];
end
% Reference frequencies in base 2 system
f = Fc * [1 1.02676 1.05594 1.08776 1.12246 1.12246 1.29565 1.88695 ...
3.06955 5.43474 NaN ];
f(length(f)) = realmax;
ff = Fc * [1 0.97394 0.94702 0.91932 0.89090 0.89090 0.77181 0.52996 ...
0.32578 0.18400 NaN ];
ff(length(ff)) = realmin;
semilogx(F,G,f,tolup,'--');
semilogx(F,G,f,tollow,'--');
semilogx(F,G,ff,tolup,'--');
semilogx(F,G,ff,tollow,'--');
hold off
legend('Filter',['IEC class ' int2str(n)],0);
else
semilogx(F,G);
end
xlabel('Frequency [Hz]'); ylabel('Gain [dB]');
title(['One-third-octave filter: Fc =',int2str(Fc),' Hz, Fs = ',int2str(Fs),' Hz']);
axis([Fc/10 Fc*10 -80 5]);
grid on
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