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/*!
* \file
* \brief Filter design test program
* \author Tony Ottosson and Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ is free software: you can redistribute it and/or modify it under the
* terms of the GNU General Public License as published by the Free Software
* Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* IT++ is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#include <itpp/itsignal.h>
using namespace itpp;
using namespace std;
int main()
{
cout << "====================================" << endl;
cout << " Test of filter design routines " << endl;
cout << "====================================" << endl;
{
cout << "Stabilisation of real filters" << endl;
vec p = "0.7 3.0 -0.4";
vec p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
p = randn(7);
p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
p = poly(vec("1.1 0.7 0.2"));
p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
}
{
cout << "Stabilisation of complex filters" << endl;
cvec p = "0.7 3.0 -0.4";
cvec p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
p = randn_c(7);
p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
p = poly(cvec("1.1 0.7 0.2"));
p2 = polystab(p);
cout << "Polynomial, p = " << p << endl;
cout << "p2 = polystab(p) = " << round_to_zero(p2) << endl;
cvec a = randn_c(4);
cvec b = randn_c(6);
cvec h = freqz(b, a, 32);
cout << "a = " << a << endl;
cout << "b = " << b << endl;
cout << "freqz(b,a,32) = " << round_to_zero(h) << endl;
}
{
cout << "Yulewalk filter design" << endl;
vec f = "0 0.5 0.6 1";
vec m = "1 1 0 0";
vec a, b, R;
cout << "f = " << f << endl;
cout << "m = " << m << endl;
cout << "filter_design_autocorrelation(32, f, m, R): " << endl;
filter_design_autocorrelation(256, f, m, R);
cout << "R = " << fixed << R << endl;
cout << "arma_estimator(8, 8, R, b, a): " << endl;
arma_estimator(8, 8, R, b, a);
cout << "a = " << a << endl;
cout << "b = " << b << endl;
vec n = "0:1:256";
double fd = 0.1;
R = besselj(0, 2 * pi * fd * n);
cout << "R = " << R << endl;
arma_estimator(8, 8, R, b, a);
cout << "arma_estimator(8, 8, R, b, a): " << endl;
cout << "a = " << a << endl;
cout << "b = " << b << endl;
}
return 0;
}
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