Ecole d'ingénieur et centre de recherche en Sciences du numérique

Efficient maximum likelihood joint estimation of angles and times of arrival of multiple paths

Bazzi, Ahmad; Slock, Dirk TM; Meilhac, Lisa

GLOBECOM 2015, IEEE Global Communications Conference, , "Localization and Tracking: Indoors, Outdoors and Emerging Networks (LION)" workshop, December 6-10, 2015, San Diego, CA, USA

This paper presents and analyses two computationally attractive Maximum Likelihood (ML) estimators for joint Angle of Arrival (AoA) and Time of Arrival (ToA) using a Single Input Multiple Output (SIMO) link in an OFDM communication setting. We consider a rich multipath channel, which is the case of an indoor environment, where the received signal is a sum of scaled and delayed versions of the original transmit OFDM symbol. The first algorithm is a modification of the two dimensional Iterative Quadratic ML (2D-IQML) algorithm, where an additional constraint is added for joint ToA and AoA estimation. We show that 2D-IQML gives biased estimates of ToAs/AoAs and performs poorly at low SNR due to noise induced bias. The 2DIQML cost function can be "denoised" by eliminating the noise contribution: the resulting algorithm, two dimensional Denoised IQML (2D-DIQML), gives consistent estimates and outperforms 2D-IQML. Furthermore, 2D-DIQML is asymptotically globally convergent and hence insensitive to the initialisation. Also, we show that the 2D-DIQML algorithm behaves asymptotically at any SNR as the 2D-IQML algorithm behaves at high SNR. A simulation example has been presented to show the asymptotic behaviour of both algorithms at low SNR. Finally, joint AoA/ToA estimates could bring very useful information for localisation purposes, especially in a rich multipath channel, that could allow single anchor-based localisation.

Document Bibtex

Titre:Efficient maximum likelihood joint estimation of angles and times of arrival of multiple paths
Ville:San Diego
Département:Systèmes de Communication
Eurecom ref:4674
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Bibtex: @inproceedings{EURECOM+4674, year = {2015}, title = {{E}fficient maximum likelihood joint estimation of angles and times of arrival of multiple paths}, author = {{B}azzi, {A}hmad and {S}lock, {D}irk {TM} and {M}eilhac, {L}isa}, booktitle = {{GLOBECOM} 2015, {IEEE} {G}lobal {C}ommunications {C}onference, , "{L}ocalization and {T}racking: {I}ndoors, {O}utdoors and {E}merging {N}etworks ({LION})" workshop, {D}ecember 6-10, 2015, {S}an {D}iego, {CA}, {USA} }, address = {{S}an {D}iego, {\'{E}}{TATS}-{UNIS}}, month = {12}, url = {} }
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