Magneto-transport measurements have been carried out on three heavily Si δ-doped In0.52Al0.48As/In0.53Ga0.47As/In0.52Al0.48As single quantum well samples in which two subbands were occupied by electrons. The weak anti-localization (WAL) has been found in such high electron mobility systems. The strong Rashba spin-orbit (SO) coupling is due to the high structure inversion asymmetry (SIA) of the quantum wells. Since the WAL theory model is so complicated in fitting our experimental results, we obtained the Rashba SO coupling constant　α and the zero-field spin splitting　Δ0 by an approximate approach. The results are consistent with that obtained by the Shubnikov-de Haas (SdH) oscillation analysis. The WAL effect in high electron mobility system suggests that finding a useful approach for deducing α and Δ0 is important in designing future spintronics devices that utilize the Rashba SO coupling.