soft/tune/eq/eq_iir_blob_quant.m

function iir_resp = eq_iir_blob_quant(eq_b, eq_a)

%% Convert IIR coefficients to 2nd order sections and quantize
%
%  iir_resp = eq_iir_blob_quant(b, a, bits)
%
%  b - numerator coefficients
%  a - denominator coefficients
%  bits - number of bits to quantize
%
%  iir_resp - vector to setup an IIR equalizer with number of sections, shifts,
%  and quantized coefficients
%

%%
% Copyright (c) 2016, Intel Corporation
% All rights reserved.
%
% Redistribution and use in source and binary forms, with or without
% modification, are permitted provided that the following conditions are met:
%   * Redistributions of source code must retain the above copyright
%     notice, this list of conditions and the following disclaimer.
%   * Redistributions in binary form must reproduce the above copyright
%     notice, this list of conditions and the following disclaimer in the
%     documentation and/or other materials provided with the distribution.
%   * Neither the name of the Intel Corporation nor the
%     names of its contributors may be used to endorse or promote products
%     derived from this software without specific prior written permission.
%
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
% POSSIBILITY OF SUCH DAMAGE.
%
% Author: Seppo Ingalsuo <seppo.ingalsuo@linux.intel.com>
%

%% Settings
bits_iir = 32; % Q2.30
qf_iir = 30;
bits_gain = 16; % Q2.14
qf_gain = 14;
scale_max = -3; % dB, scale biquad L-inf norm
plot_pz = 0;
plot_fr = 0;

%% Convert IIR to 2nd order sections
if exist('OCTAVE_VERSION', 'builtin')
        [sos, gain] = tf2sos(eq_b, eq_a);
else
        % TODO: tf2sos produces in Matlab EQs with zero output due to
        % very high gain variations within biquad. Need to investigate if
        % this is incorrect usage and a bug here.
        [sos, gain] = tf2sos(eq_b, eq_a, 'UP', Inf);
        fprintf('Warning: Problems have been seen with some IIR designs.\n');
        fprintf('Warning: Please check the result.\n');
end
sz = size(sos);
nbr_sections = sz(1);
n_section_header = 2;
n_section = 7;
iir_resp = int32(zeros(1,n_section_header+nbr_sections*n_section));
iir_resp(1) = nbr_sections;
iir_resp(2) = nbr_sections; % Note: All sections in series

for n=1:nbr_sections
        b = sos(n,1:3);
        a = sos(n,4:6);

        if plot_pz
                figure
                zplane(b,a);
                tstr = sprintf('SOS %d poles and zeros', n);
                title(tstr);
        end

        np = 1024;
        [h, w] = freqz(b, a, np);
        hm = max(abs(h));
        scale = 10^(scale_max/20)/hm;
        gain_remain = 1/scale;
        gain = gain*gain_remain;
        b = b * scale;

        ma = max(abs(a));
        mb = max(abs(b));

        if plot_fr
                figure
                [h, w] = freqz(b, a, np);
                plot(w, 20*log10(abs(h))); grid on;
                xlabel('Frequency (w)');
                ylabel('Magnitude (dB)');
                tstr = sprintf('SOS %d frequency response', n);
                title(tstr);
        end

        %% Apply remaining gain at last section output
        if n == nbr_sections
                section_shift = -fix(log(gain)/log(2));
                section_gain= gain/2^(-section_shift);
        else
                section_shift = 0;
                section_gain = 1;
        end

        %% Note: Invert sign of a!
        %% Note:  a(1) is omitted, it's always 1
        m = n_section_header+(n-1)*n_section+1;
        iir_resp(m:m+1) = eq_coef_quant(-a(3:-1:2), bits_iir, qf_iir);
        iir_resp(m+2:m+4) =  eq_coef_quant( b(3:-1:1), bits_iir, qf_iir);
        iir_resp(m+5) = section_shift;
        iir_resp(m+6) = eq_coef_quant( section_gain, bits_gain, qf_gain);

end

end