DiFipp/include/BilinearTransform.h

48 wiersze
1.6 KiB
C++

#pragma once
#include <vector>
namespace fratio {
template <typename T>
struct BilinearTransform {
using SubType = internal::complex_sub_type_t<T>;
static_assert(std::is_floating_point<SubType>::value, "This struct can only accept floating point types (real and complex).");
static void SToZ(SubType fs, const T& sPlanePole, T& zPlanePole);
static void SToZ(SubType fs, const std::vector<T>& sPlanePoles, std::vector<T>& zPlanePoles);
static void ZToS(SubType fs, const T& zPlanePole, T& sPlanePole);
static void ZToS(SubType fs, const std::vector<T>& zPlanePoles, std::vector<T>& sPlanePoles);
};
template <typename T>
void BilinearTransform<T>::SToZ(SubType fs, const T& sPlanePole, T& zPlanePole)
{
T scalePole = sPlanePole / (2 * fs);
zPlanePole = (T(1) + scalePole) / (T(1) - scalePole);
}
template <typename T>
void BilinearTransform<T>::SToZ(SubType fs, const std::vector<T>& sPlanePoles, std::vector<T>& zPlanePoles)
{
assert(sPlanePoles.size() == zPlanePoles.size());
for (size_t k = 0; k < sPlanePoles.size(); ++k)
SToZ(fs, sPlanePoles[k], zPlanePoles[k]);
}
template <typename T>
void BilinearTransform<T>::ZToS(SubType fs, const T& zPlanePole, T& sPlanePole)
{
T invPole = T(1) / zPlanePole;
sPlanePole = 2 * fs * (T(1) - invPole) / (T(1) + invPole);
}
template <typename T>
void BilinearTransform<T>::ZToS(SubType fs, const std::vector<T>& zPlanePoles, std::vector<T>& sPlanePoles)
{
assert(zPlanePoles.size() == sPlanePoles.size());
for (size_t k = 0; k < sPlanePoles.size(); ++k)
ZToS(fs, zPlanePoles[k], sPlanePoles[k]);
}
} // namespace fratio