Το work with title Maximum-likelihood noncoherent PAM detection by Papailiopoulos D.S, Elkheir G.A, Karystinos Georgios is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
D. S. Papailiopoulos, G. Abou Elkheir, and G. N. Karystinos,"Maximum-likelihood noncoherent PAM detection," IEEE Transactions on Communications, vol. 61, no. 3, pp. 1152 - 1159, Mar. 2013. doi: 10.1109/TCOMM.2012.010913.120448
https://doi.org/10.1109/TCOMM.2012.010913.120448
Sequence detection offers improved error-rate performance over conventional symbol-by-symbol detection when channel knowledge is not available at the receiver end. However, maximum-likelihood (ML) noncoherent sequence detection is proven to be notoriously intractable in many communication settings. In this work, we develop a new ML sequence detector for pulse-amplitude modulation (PAM) or quadrature-amplitude modulation (QAM) transmissions in unknown Rayleigh fading. Our detector identifies the ML sequence with overall polynomial complexity. This is possible via an auxiliary-angle approach that unlocks a low-rank property of the ML detection problem, reduces the exponential-size set of solution sequences to a polynomial-size set of candidates, and guarantees that the ML sequence is always contained in this substantially smaller set.