  Travelling modes of single-photon-added coherent states (SPACS) are
characterized via optical homodyne tomography. Given a set of experimentally
measured quadrature distributions, we estimate parameters of the state and also
extract information about the detector efficiency. The method used is a minimal
distance estimation between theoretical and experimental quantities, which
additionally allows to evaluate the precision of estimated parameters. Given
experimental data, we also estimate the lower and upper bounds on fidelity. The
results are believed to encourage preciser engineering and detection of SPACS.
