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In this paper, a MIMO-OFDM system without Cyclic Prefix (CP) is considered and a two-step signal detection algorithm is proposed. The algorithm is based on some structural properties derived from shifting the received OFDM symbols. The first step cancels Inter-Carrier Interference (ICI) and Inter-Symbol Interference (ISI) with an equalizer designed using second-order statistics of the shifted received OFDM symbols. The second step detects the signals from the equalizer output in which the signals are still corrupted with Multi-Antenna Interference (MAI).
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