Convergence properties of frequency domain turbo equalization with multilevel bit-interleaved coded modulation (MLBICM) and bit-interleaved coded modulation (BICM) are studied in measured quasi-static fading channels by the means of semi-analytical convergence analysis. Spatial channel parameters are matched to the reached mutual information on a per-measurement basis and trends in the behavior of the equalizer are obtained, when the channel characteristics, in terms of transmit and receive side azimuth spreads, change. Robust convergence of frequency-domain turbo equalization combined with multilevel BICM is demonstrated through the convergence analysis. Three channel codes are evaluated in the measurement-based simulation showing the effects of outer code selection