Adaptive noncoherent linear minimum ISI equalization for MDPSK and MDAPSK signals

TitleAdaptive noncoherent linear minimum ISI equalization for MDPSK and MDAPSK signals
Publication TypeJournal Article
Year of Publication2001
AuthorsSchober, R., W. H. Gerstacker, and J. B. Huber
JournalSignal Processing, IEEE Transactions on
Pagination2018 -2030
Date Publishedsep.
Keywordsadaptive algorithms, adaptive equalisers, adaptive noncoherent linear minimum ISI equalization, amplitude shift keying, AWGN, convergence of numerical methods, cost function, differential phase shift keying, eigenvalue problem, equalizer output signal, frequency offset, global convergence, interference suppression, intersymbol interference, least mean squares methods, LMS algorithm, M-ary differential amplitude/phase-shift keying, M-ary differential phase-shift keying, MDAPSK signals, MDPSK signals, modified least-mean-square algorithm, modified recursive least-squares algorithm, optimum equalizer coefficients, recursive adaptation, RLS algorithm, simulations, WGN conditions

A novel noncoherent linear equalization scheme is introduced and analyzed. In contrast to previously proposed noncoherent equalization schemes, the proposed scheme is not only applicable for M-ary differential phase-shift keying (MDPSK) but also for M-ary differential amplitude/phase-shift keying (MDAPSK). The novel scheme minimizes the variance of intersymbol interference (ISI) in the equalizer output signal. The optimum equalizer coefficients may be calculated directly from an eigenvalue problem. For an efficient recursive adaptation of the equalizer coefficients, a modified least-mean-square (LMS) and a modified recursive least-squares (RLS) algorithm are proposed. It is shown that the corresponding cost function has no spurious local minima that ensures global convergence of the adaptive algorithms. Simulations confirm the good performance of the proposed noncoherent equalization scheme and its robustness against frequency offset


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