Asymptotically Optimum Multiuser Decision
Feedback Detection
M. K. Varanasi, Proc. 1997 Intl Symp. Inform. Th, pp. 275, Ulm, Germany, June-July 1997
The optimum decision feedback multiuser detection rule was obtained in [1] for the joint detection of K simultaneously transmitting users in a
synchronous Gaussian Correlated Waveform Multiple Access (CWMA) channel. The measure of
optimality considered there was the asymptotic symmetric (worst-case over users) effective
energy. The resulting optimum decision feedback detector (ODFD) is characterized by a
feedforward-feedback matrix pair and requires K additions and K multiplications per user
after matched filtering for its implementation. In this paper, it is shown that in
addition to its optimality in asymptotic symmetric effective energy, the ODFD can, under
certain conditions, achieve optimum asymptotic effective energy for every user, thereby
matching the asymptotic efficiency performance of the exponentially complex maximum
likelihood detector for all users simultaneously. In proving this result, it is not
assumed that interference cancellation is perfect.
M. K. Varanasi, "Optimizing Symmetric
Energy and Permuting Users for Decision Feedback Multiuser detection to User-Wise
Outperform Linear Multiuser Detection," Proc of the Conf. Inform. Sciences and
Systems, pp. 492-497, Johns Hopkins University, March 1997.
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