The Fisher-Bingham spatial correlation model for multielement antenna systems

K. Mammasis, R.W. Stewart

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


In this paper, XXXX we study the effect of the elevation of incoming multipaths at a multielement antenna receiver by using a novel 3-D approach. It is shown that under a more general 3-D angle-of-arrival (AoA) model, namely, the Fisher-Bingham five-parameter (FB5) distribution, the spatial fading correlation (SFC) that is experienced between the adjacent antenna array elements decreases as the elevation increases. The FB5 distribution does not have a known series expansion, and therefore, the defining SFC integral can only numerically be evaluated. The proposed SFC function is further extended to capture the effect of multiple clusters of scatterers in the propagation channel. We, therefore, propose a mixture SFC function that is scaled according to the probability that each cluster contributes to the channel. The parameters of the individual components that constitute the mixture are estimated by using a soft expectation maximization (soft-EM) algorithm. The results indicate that the proposed model fits well with the data obtained from a multiple-input-multiple-output (MIMO) measurement campaign in the city of Ilmenau, Germany.
Original languageEnglish
Pages (from-to)2130-2136
Number of pages7
JournalIEEE Transactions on Vehicular Technology
Issue number5
Publication statusPublished - Jun 2009


  • MIMO communication
  • antenna arrays
  • expectation maximisation algorithm
  • fading channels
  • receiving antennas

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