Need to fix merging
topic/diffentiators
vincent samy 2018-12-14 18:58:52 +09:00
rodzic 3dbaf8036f
commit 0033d2fa72
3 zmienionych plików z 281 dodań i 0 usunięć

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#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.) {
m_status = FilterStatus::BAD_CUTOFF_FREQUENCY;
return;
}
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 = T(2) * pi * fpw;
auto thetaK = [pi, order = m_order](size_t k) -> T {
return (T(2) * k - T(1)) * pi / (T(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 /= T(2) * m_fs;
m_poles(k - 1) = (T(1) + scalePole) / (T(1) - scalePole);
}
Eigen::VectorX<std::complex<T>> numPoles = Eigen::VectorX::Constant(m_order, std::complex<T>(-1));
Eigen::VectorX<std::complex<T>> a = VietaAlgo<std::complex<T>>::polyCoeffFromRoot(m_poles);
Eigen::VectorX<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;
m_bCoeff *= norm;
checkCoeffs(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

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#include <limits>
namespace fratio {
// Public static functions
template <typename T>
std::string GenericFilter<T>::filterStatus(FilterStatus status)
{
switch (status) {
case FilterStatus::NONE:
return "Filter is uninitialized";
case FilterStatus::READY:
return "Filter is ready to be used";
case FilterStatus::ALL_COEFF_MISSING:
return "Filter has none of its coefficient initialized";
case FilterStatus::A_COEFF_MISSING:
return "Filter has its 'a' coefficients uninitialized";
case FilterStatus::A_COEFF_MISSING:
return "Filter has its 'b' coefficients uninitialized";
case FilterStatus::BAD_CUTOFF_FREQUENCY:
return "Filter has a received a bad cut-off frequency. It must be inferior to the sampling frequency";
default:
return "I forgot to implement this error documentation";
}
}
// Public functions
template <typename T>
T GenericFilter<T>::stepFilter(const T& data)
{
assert(m_status == FilterStatus::READY);
// Slide data (can't use SIMD, but should be small)
for (auto rit1 = m_rawData.rbegin(), rit2 = m_rawData.rbegin() + 1; rit2 != m_rawData.rend(); ++rit1, ++rit2)
*rit1 = *rit2;
for (auto rit1 = m_filteredData.rbegin(), rit2 = m_filteredData.rbegin() + 1; rit2 != m_filteredData.rend(); ++rit1, ++rit2)
*rit1 = *rit2;
m_rawData[0] = data;
m_filteredData[0] = m_bCoeff.dot(m_rawData) - m_aCoeff.dot(m_filteredData);
return m_filteredData[0];
}
template <typename T>
Eigen::VectorX<T> GenericFilter<T>::filter(const Eigen::VectorX<T>& data)
{
Eigen::VectorX<T> results(data.size());
if (!getFilterResults(results, data))
return Eigen::VectorX<T>();
return results;
}
template <typename T>
bool GenericFilter<T>::getFilterResults(Eigen::Ref<Eigen::VectorX<T>> results, const Eigen::VectorX<T>& data)
{
assert(m_status == FilterStatus::READY);
if (results.size() != data.size())
return false;
T* res = results.data();
for (T d : data)
*(res++) = stepFilter(d);
return true;
}
template <typename T>
void GenericFilter<T>::resetFilter()
{
m_filteredData.setZero(m_aCoeff.size());
m_rawData.setZero(m_bCoeff.size());
}
template <typename T>
bool GenericFilter<T>::setCoeffs(const std::vector<T>& aCoeff, const std::vector<T>& bCoeff)
{
if (!checkCoeffs(aCoeff, bCoeff))
return false;
m_aCoeff = Eigen::Map<Eigen::VectorX<T>>(aCoeff.data(), aCoeff.size());
m_bCoeff = Eigen::Map<Eigen::VectorX<T>>(bCoeff.data(), bCoeff.size());
resetFilter();
normalizeCoeffs();
return true;
}
template <typename T>
void GenericFilter<T>::setCoeffs(const Eigen::VectorX<T>& aCoeff, const Eigen::VectorX<T>& bCoeff)
{
if (!checkCoeffs(aCoeff, bCoeff))
return false;
m_aCoeff = aCoeff;
m_bCoeff = bCoeff;
resetFilter();
normalizeCoeffs();
return true;
}
template <typename T>
void GenericFilter<T>::getCoeffs(std::vector<T>& aCoeff, std::vector<T>& bCoeff) const
{
aCoeff.assign(m_aCoeff.data(), m_aCoeff.data() + m_aCoeff.size());
bCoeff.assign(m_bCoeff.data(), m_bCoeff.data() + m_bCoeff.size());
}
template <typename T>
void GenericFilter<T>::getCoeffs(Eigen::Ref<Eigen::VectorX<T>> aCoeff, Eigen::Ref<Eigen::VectorX<T>> bCoeff) const
{
aCoeff = m_aCoeff;
bCoeff = m_bCoeff;
}
// Protected functions
template <typename T>
GenericFilter<T>::GenericFilter(const Eigen::VectorX<T>& aCoeff, const Eigen::VectorX<T>& bCoeff)
: m_aCoeff(aCoeff)
, m_bCoeff(bCoeff)
, m_filteredData(aCoeff.size())
, m_rawData(bCoeff.size())
{
if(!checkCoeffs(aCoeff, bCoeff))
return;
resetFilter();
normalizeCoeffs();
}
template <typename T>
void GenericFilter<T>::normalizeCoeffs()
{
assert(m_status == FilterStatus::READY);
T a0 = m_aCoeff(0);
if (std::abs(a0 - T(1)) < std::numeric_limits<T>::epsilon())
return;
m_aCoeff /= a0;
m_bCoeff /= a0;
}
template <typename T>
template <typename T2>
bool GenericFilter<T>::checkCoeffs(const T2& aCoeff, const T2& bCoeff)
{
using namespace FilterStatus;
m_status = NONE;
if (aCoeff.size() == 0)
m_status = A_COEFF_MISSING;
else if (std::abs(aCoeff[0]) < std::numeric_limits<T>::epsilon())
m_status = BAD_A_COEFF;
if (bCoeff.size() == 0)
m_status = (m_status == A_COEFF_MISSING ? ALL_COEFF_MISSING : B_COEFF_MISSING);
if (m_status == NONE)
m_status = READY;
return m_status == READY;
}
} // namespace fratio

27
include/typedefs.h 100644
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#pragma once
#include <Eigen/Core>
namespace Eigen {
template <typename T>
using VectorX = Eigen::Matrix<T, Eigen::Dynamic, 1>;
} // namespace Eigen
namespace fratio {
enum class FilterStatus {
// Generic filter
NONE,
READY,
BAD_A_COEFF,
A_COEFF_MISSING,
B_COEFF_MISSING,
ALL_COEFF_MISSING = A_COEFF_MISSING | B_COEFF_MISSING,
// Butterworth filter
BAD_CUTOFF_FREQUENCY
};
} // namespace fratio