2017/04/27 by Mohammad Ali Sedaghat, Sedaghat, Mohammad A., Ali Bereyhi +3
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.1704.08469
openalex publication_date 2017/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general class of nonlinear Least Square Error (LSE) precoders in multi-user\nmultiple-input multiple-output systems is analyzed using the replica method\nfrom statistical mechanics. A single cell downlink channel with N transmit\nantennas at the base station and K single-antenna users is considered. The\ndata symbols are assumed to be iid Gaussian and the precoded symbols on each\ntransmit antenna are restricted to be chosen from a predefined set\n mathbbX. The set mathbbX encloses several well-known constraints in\nwireless communications including signals with peak power, constant envelope\nsignals and finite constellations such as Phase Shift Keying (PSK). We\ndetermine the asymptotic distortion of the LSE precoder under both the Replica\nSymmetry (RS) and the one step Replica Symmetry Breaking (1-RSB) assumptions.\nFor the case of peak power constraint on each transmit antenna, our analyses\nunder the RS assumption show that the LSE precoder can reduce the peak to\naverage power ratio to 3dB without any significant performance loss. For PSK\nconstellations, as N/K grows, the RS assumption fails to predict the\nperformance accurately and therefore, investigations under the 1-RSB assumption\nare further considered. The results show that the 1-RSB assumption is more\naccurate.\n