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We propose a regularized zero-forcing transmit precoding (RZF-TPC) aided anddistance-based adaptive coding and modulation (ACM) scheme to supportaeronautical communication applications, by exploiting the high spectralefficiency of large-scale antenna arrays and link adaption. Our RZF-TPC aidedand distance-based ACM scheme switches its mode according to the distancebetween the communicating aircraft. We derive the closed-form asymptoticsignal-to-interference-plus-noise ratio (SINR) expression of the RZF-TPC forthe aeronautical channel, which is Rician, relying on a non-centered channelmatrix that is dominated by the deterministic line-of-sight component. Theeffects of both realistic channel estimation errors and of the co-channelinterference are considered in the derivation of this approximate closed-formSINR formula. Furthermore, we derive the analytical expression of the optimalregularization parameter that minimizes the mean square detection error. Theachievable throughput expression based on our asymptotic approximate SINRformula is then utilized as the design metric for the proposed RZF-TPC aidedand distance-based ACM scheme. Monte-Carlo simulation results are presented forvalidating our theoretical analysis as well as for investigating the impact ofthe key system parameters. The simulation results closely match the theoreticalresults. In the specific example that two communicating aircraft fly at atypical cruising speed of 920 km/h, heading in opposite direction over thedistance up to 740 km taking a period of about 24 minutes, the RZF-TPC aidedand distance-based ACM is capable of transmitting a total of 77 Gigabyte ofdata with the aid of 64 transmit antennas and 4 receive antennas, which issignificantly higher than that of our previous eigen-beamforming transmitprecoding aided and distance-based ACM benchmark.

Regularized Zero-Forcing Precoding Aided Adaptive Coding and Modulation for Large-Scale Antenna Array Based Air-to-Air Communications