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This paper proposes an optimization scheme on Uplink Pilots Time Interval (UPTI) in terms of maximum average post - processing SNR (Signal to Noise Ratio) for a Time Division Duplex (TDD) Multiple Input Single Output (MISO) beamforming system with channel estimation error and delay. In TDD system, the base station estimates the Channel State Information (CSI) at transmitter based on uplink pilots and then uses it to generate the beamforming vector in the downlink transmission. Because of the constraints of the TDD frame structure and the uplink pilot overhead, there inevitably exists delay and channel estimation error between CSI estimation and its use.
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