num::spectral::rfft

Defined in header <spectral/fft.hpp>

void rfft(const vec<real> &in, vec<cplx> &out, fft_backend b = default_fft_backend);

Compute nonredundant half-spectrum of a real input signal: \(n \to \lfloor n/2 \rfloor + 1\) complex coefficients.

Exploits Hermitian conjugate symmetry \(X_{n-k} = X_k^*\) for real inputs.

Parameters

• in: Real input vector of size \(n\).
• out: Output complex half-spectrum vector of size \(n/2 + 1\).
• b: FFT backend tag.

See also

irfft, fft