Orthogonal AMP for Massive Access in Channels with Spatial and Temporal Correlations

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

36 Scopus Citations
View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)726-740
Journal / PublicationIEEE Journal on Selected Areas in Communications
Issue number3
Online published24 Aug 2020
Publication statusPublished - Mar 2021


We address the joint device activity detection and channel estimation (JACE) problem in a massive MIMO connectivity scenario in which a large number of mobile devices are connected to a base station (BS), while only a small portion are active at any given time. The main objective is to provide an efficient transmission and detection scheme with both spatial and temporal correlations. We formulate JACE as a multiple measurement vector (MMV) problem with correlated entries in the vectors to be estimated. We propose an MMV form of the orthogonal approximate message passing algorithm (OAMP-MMV). We derive a group Gram-Schmidt orthogonalization (GGSO) procedure for the realization of OAMP-MMV. We outline a state evolution (SE) procedure for OAMP-MMV and examine its accuracy using numerical results. We also compare OAMP-MMV with existing alternatives, including AMP-MMV and GTurbo-MMV. We show that OAMP-MMV outperforms AMP-MMV when pilot sequences are generated using Hadamard pilot matrices. Such a pilot design is attractive due to the low-cost signal processing technique using the fast Hadamard transform (FHT). We also show that OAMP-MMV outperforms GTurbo-MMV in correlated channels.

Research Area(s)

  • channel estimation, device activity detection, Massive connectivity, orthogonal approximate message passing (OAMP), spatial and temporal correlations