This paper deals with a low complexity receiver scheme for high order modulation where multiple-input equalization and channel decoding are jointly optimized in an iterative process. Initially proposed in a single-input version the turboequalizer is extended for multiple-input. Channel diversity allows performance of the turbo-equalizer to be improved in severe frequency selective environment. Results are presented for 4-QAM and 16-QAM modulations over multipath rayleigh fading channels.