A multi-antenna receiver within an uplink MIMO communication system is described. The antenna receiver includes an RRU and a BBU communicating between themselves through a fronthaul (FH) link. The multi-antenna receiver significantly decreases the fronthaul (FH) throughput requirements, while guaranteeing a low EVM between the time-domain signals transmitted from the users towards the RRU and the signals reconstructed and recovered at the BBU. The RRU processes the obtained frequency-domain signals in a space of dimensionality N by projecting them into a signal space of lower dimensionality (N′) and compressing them in the obtained projected signal subspace. At the BBU, the frequency-domain signals are decompressed and reconstructed on the projected signal subspace, before recovering the transmitted time-domain signals.