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In this paper, the authors present an efficient detection scheme for spatial multiplexing over time-varying Multiple-Input Multiple-Output (MIMO) channels. The filter weights for detection are optimized by the Minimum Variance (MV) criterion. The resultant MV detector is adaptively realized with the Generalized Sidelobe Canceller (GSC) structure. With the up-to-date Channel State Information (CSI), they show that the signal matched filter and blocking matrix in GSC can be determined through the use of the Householder transformation. The advantage of this approach is that it avoids the abrupt changes in the adaptive process whenever the signal matched filter and blocking matrix are updated according to the changing MIMO channel.
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