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In this paper, we present a new adaptive error-cancellation (AEC) technique, denoted as multi-input-multi-output (MIMO)-AEC, for the design of low-power MIMO signal processing systems. The MIMO-AEC technique builds on the previously proposed AEC technique by employing an algorithm transformation denoted as MIMO decorrelating (MIMO-DECOR) transform. MIMO-DECOR reduces complexity by exploiting correlations inherent in MIMO systems, thereby improving the energy efficiency of AEC. The proposed MIMO-AEC enables energy minimization of MIMO systems by correcting transient/soft errors that arise in very large scale integration signal processing implementations due to inherent process nonidealities and/or aggressive low-power design styles, such as voltage overscaling. We employ the MIMO-AEC in the design of a low-power Gigabit Ethernet 1000Base-T device. Simulation results indicate 69.1%-64.2% energy savings over optimally voltage-scaled present-day systems with no loss in algorithmic performance.