DiFipp/include/Butterworth.inl

92 wiersze
2.3 KiB
C++

#include "polynome_functions.h"
#include <cmath>
#include <sstream>
namespace fratio {
template <typename T>
Butterworth<T>::Butterworth(Type type)
: m_type(type)
{
}
template <typename T>
Butterworth<T>::Butterworth(size_t order, T fc, T fs, Type type)
: m_type(type)
{
initialize(order, fc, fs);
}
template <typename T>
void Butterworth<T>::setFilterParameters(size_t order, T fc, T fs)
{
initialize(order, fc, fs);
}
template <typename T>
void Butterworth<T>::initialize(size_t order, T fc, T fs)
{
if (m_fc > m_fs / 2.) {
std::stringstream ss;
ss << "The cut-off-frequency must be inferior to the sampling frequency"
<< "\n Given cut-off-frequency is " << m_fc
<< "\n Given sample frequency is " << m_fs;
throw std::runtime_error(ss.str());
}
m_order = order;
m_fc = fc;
m_fs = fs;
m_poles.resize(order);
updateCoeffSize();
computeDigitalRep();
}
template <typename T>
void Butterworth<T>::computeDigitalRep()
{
T pi = static_cast<T>(M_PI);
// Continuous pre-warped frequency
T fpw = (m_fs / pi) * std::tan(pi * m_fc / m_fs);
T scaleFactor = 2 * pi * fpw;
auto thetaK = [pi, order = m_order](size_t k) -> T {
return (2 * k - 1) * pi / (2 * order);
};
// Compute poles
std::complex<T> scalePole;
for (size_t k = 1; k <= m_order; ++k) {
scalePole = scaleFactor * std::complex<T>(-std::sin(thetaK(k)), std::cos(thetaK(k)));
scalePole /= 2 * m_fs;
m_poles[k - 1] = (T(1) + scalePole) / (T(1) - scalePole);
}
std::vector<std::complex<T>> numPoles(m_order, std::complex<T>(-1));
std::vector<std::complex<T>> a = VietaAlgo<std::complex<T>>::polyCoeffFromRoot(m_poles);
std::vector<std::complex<T>> b = VietaAlgo<std::complex<T>>::polyCoeffFromRoot(numPoles);
T norm = 0;
T sumB = 0;
for (size_t i = 0; i < m_order + 1; ++i) {
m_aCoeff[i] = a[i].real();
m_bCoeff[i] = b[i].real();
norm += m_aCoeff[i];
sumB += m_bCoeff[i];
}
norm /= sumB;
for (auto& b : m_bCoeff)
b *= norm;
checkCoeff(m_aCoeff, m_bCoeff);
}
template <typename T>
void Butterworth<T>::updateCoeffSize()
{
m_aCoeff.resize(m_order + 1);
m_bCoeff.resize(m_order + 1);
resetFilter();
}
} // namespace fratio