Reconstruction of the C-14 production rate from measured relative abundance

A new method is presented for the reconstruction of the radiocarbon production rate from the measured relative abundance of Delta C-14. The method treats the carbon cycle as a linear Fourier filter and thus allows for the correct and unambiguous inversion of the carbon cycle. The C-14 production rate, as reconstructed by the Fourier filter method, agrees with the results obtained by the traditional iteration method. Since the 2 methods use completely different approaches, this verifies the validity of the reconstruction. The composite series is presented, based on both methods and their systematic uncertainties.