The Family of LML Detectors and the Family of LAS Detectors for Massive MIMO Communications
Yi Sun

TL;DR
This paper reviews and analyzes the family of LML and LAS detectors in massive MIMO systems, demonstrating their near-optimal performance and theoretical properties through analytical and simulation results.
Contribution
It unifies the framework of LML and LAS detectors, proves their properties in large MIMO channels, and shows their effectiveness approaching GML detection performance.
Findings
LML detectors possess the channel's LML characteristic.
Sequential LAS detectors can approach GML detector BER in large MIMO.
High SNR performance of LML and GML detectors approaches AWGN channel limits.
Abstract
The family of local maximum likelihood (LML) detectors, including the global maximum likelihood (GML) detector, and the family of likelihood ascent search (LAS) detectors are akin to each other and possess common properties significant in both theory and practical multi-input multi-output (MIMO) communications. It is proved that a large MIMO channel possesses the LML characteristic, implying and predicting that a local search detector with likelihood ascent, like a wide-sense sequential LAS (WSLAS) detector, can approach the GML detection. By the replica method, the bit error rate (BER) of an LML detector in the large MIMO channel is obtained. The BER indicates that in the high signal-to-noise ratio (SNR) regime, both the LML and GML detectors achieve the AWGN channel performance when the channel load is as high as up to 1.5086 bits/dimension with an equal-energy distribution, and the…
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Taxonomy
TopicsSatellite Communication Systems
MethodsFocus
