MU-MIMO communication systems such as communication systems for frequency offset and channel response of the A method for the simultaneous estimation and system are provided. The iterative method for estimating frequency offset and channel response is provided for a plurality of frequency resources. The channel response is estimated for a set of users sharing a given frequency resources of the frequency resources. In addition, the frequency offset is estimated for the users in the set, the channel response and frequency offset of users not in the set are maintained at a value of the most recently updated. Initially, the user of the channel response can be an ideal channel response and the frequency offset can be approximately 0. ;
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