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Optimal MIMO UWB-IR Transceiver for Nakagami-fading and Poisson-Arrivals

Enzo Baccarelli , Mauro Biagi , Cristian Pelizzoni , and Nicola Cordeschi
INFO-COM Dept.,”Sapienza” University of Rome , Via Eudossiana 18, 00184 Rome, Italy. Ph. no. +39 06 44585466 FAX no. +39 06 4873300

Abstract— In this contribution, we develop a (novel) fam¬ily of Multiple-Input Multiple-Output (MIMO) UWB Impulse-Radio (UWB-IR) transceivers for Orthogonal PPM-modulated (OPPM) coded transmissions over (baseband) multipath-faded MIMO channels. To by-pass expensive channel-estimation procedures, the MIMO channel path-gains are assumed to be fully unknown at the receiver. Thus, according to the UWB-IR statistical channel-models currently reported in the literature for both indoor/outdoor application scenarios, we develop and analyze three versions of the resulting noncoherent transceiver, that are optimal for Nakagami, Gaussian, and Log-normal distributed channel-gains, respectively. As dictated by the Saleh-Valenzuela (SV) UWB model, the resulting noncoherent Maximum-Likelihood (ML) Decoder explicitly accounts for the Poisson-distribution of the path-arrivals. Hence, after analytically evaluating the performance of the proposed noncoherent transceiver via suitable versions of the Union-Chernoff bound, we prove that the family of Space-Time OPPM (STOPPM) recently presented in the Literature is able to at¬tain full-diversity in the considered multipath-affected appli¬cation scenario. To corroborate the carried out performance analysis, we report several numerical results supporting both the medium/long coverage ranges attained by the proposed STOPPM-coded noncoherent transceiver, and its perfor¬mance robustness against the degrading effects induced by Inter-Pulse-Interference (IPI), spatially-correlated multipath fading and mistiming.

Index Terms— Dense-Multipath, UWB-IR MIMO chan¬nels, Space-Time Blocks Codes (STBCs), STOPPM codes, Poisson-distributed arrivals, noncoherent Space-Time decod-ing, IPI.

Cite:Enzo Baccarelli, Mauro Biagi, Cristian Pelizzoni, and Nicola Cordeschi, "Optimal MIMO UWB-IR Transceiver for Nakagami-fading and Poisson-Arrivals," Journal of Communications, vol. 3, no.1, pp.27-40, 2008. Doi: 10.4304/jcm.3.1.27-40