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Power Controlled Reverse Channel Training Achieves an Infinite Diversity Order in a TDD-SIMO System with Perfect CSIR

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2 Author(s)
Bharath, B.N. ; Dept. of ECE, Indian Inst. of Sci., Bangalore, India ; Murthy, C.R.

In this letter, we analyze the Diversity Multiplexing-gain Tradeoff (DMT) performance of a training-based reciprocal Single Input Multiple Output (SIMO) system. Assuming Channel State Information (CSI) is available at the Receiver (CSIR), we propose a channel-dependent power-controlled Reverse Channel Training (RCT) scheme that enables the transmitter to directly estimate the power control parameter to be used for the forward-link data transmission. We show that, with an RCT power of P̅γ, γ >; 0 and a forward data transmission power of P̅, our proposed scheme achieves an infinite diversity order for 0 ≤ gm <; Lc - LB,τ/Lc min(γ,1) and r >; 2, where gm is the multiplexing gain, Lc is the channel coherence time, LB,τ is the RCT duration and r is the number of receive antennas. We also derive an upper bound on the outage probability and show that it goes to zero asymptotically as exp (-P̅E), where E =Δ (γ-gmLc/Lc -LB,τ), at high P̅. Thus, the proposed scheme achieves a significantly better DMT performance compared to the finite diversity order achieved by channel-agnostic, fixed-power RCT schemes.

Published in:

Communications Letters, IEEE  (Volume:16 ,  Issue: 11 )