On the error probability of decision-feedback differential detection

TitleOn the error probability of decision-feedback differential detection
Publication TypeJournal Article
Year of Publication2003
AuthorsSchober, R., Y. Ma, and S. Pasupathy
JournalCommunications, IEEE Transactions on
Pagination535 - 538
Date Publishedapr.
Keywordsadditive white Gaussian noise channel, approximation theory, AWGN channel, AWGN channels, BER approximation, bit-error rate, carrier phase recovery, computational complexity, decision-feedback differential detection, differential detection, differential M-ary phase-shift keying, error probability, error propagation, error statistics, feedback, feedback filter, filtering theory, Markov chain, Markov processes, MPSK, state reduction method

We give a tight approximation for the bit-error rate (BER) of decision-feedback differential detection (DF-DD). The influence of error propagation is modeled by a Markov chain. A simple state reduction method is proposed to limit computational complexity. Our results show that error propagation strongly depends on the chosen feedback filter. In particular, the popular assumption that error propagation increases BER by a factor of two is not always justified.


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