Hierarchical Extrinsic Information Performance Analysis of H-Soft Aided 2-Source BPSK H-MAC Channel Phase Estimator for WPNC Networks

The scope of the paper is the channel state estimation (CSE) problem in parametrized Hierarchical MAC (H-MAC) stage in Wireless Physical Layer Network Coding (WPNC) networks with Hierarchical Decode and Forward (HDF) relay strategy. We analyze the H-data soft aided phase estimator for 2-source BPSK H-MAC channel. Particularly, we evaluate how hierarchical extrinsic soft H-data aid information affects the mean square error performance characteristics of the phase estimator. The numerical results show quite surprisingly that the impact of the extrinsic H-soft information is (apart of very low SNR and very low extrinsic information region) quite negligible. This result might greatly simplify the design of hierarchical soft-output demodulator for the parametric channel.