idht

constexpr std::vector<Complex> idht(const std::vector<Complex> &X, int type = 2) noexcept: Calculates the inverse discrete Hilbert transform [1] of a complex sequence.

Parameters

const std::vector<Complex> &X

A complex sequence.

Returns

template<>
type std::vector<Complex>

A complex sequence.

Example

std::vector<Complex> X = {1 + 2_j, 2 + 3_j, 3, 4, 5};
std::vector<Complex> Y = idht(X);

for(int i = 0; i < Y.size(); i++){
    std::cout << Y[i] << "\n";
}

Output:

0.425325 - 0.461653j
-0.344095 + 0.307768j
-0.16246 + 0.388998j
-0.344095 - 0.0363271j
0.425325 - 0.198787j

References