Fourth-order spatial correlation-coefficient across the uplink receiver's spatial aperture analytically derived in closed form

Cheng Siang Wang, Meihui Guo, Kainam Thomas Wong, Vladimir I. Piterbarg

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


This paper is first in the open literature (to the authors' best knowledge) on wireless channel fading to derive the uplink received signal's fourth-order spatial-correlation coefficient function across a receiving sensor-array's aperture. This derivation is mathematically rigorous and is based on idealized geometric relationships among the mobile transmitter, the base-station's receiving antennas, and the scatterers of the channel. The scatterers' spatial locations are modeled as Poisson distributed, with a Gaussian intensity over a two-dimensional space. This scatterer model has previously been empirically verified to produce faithful expressions for the second-order spatial correlation coefficient. The final formula is in closed form, explicit in terms of the simple geometric model's few independent parameters.
Original languageEnglish
Article number6127842
Pages (from-to)724-734
Number of pages11
JournalIEEE Transactions on Communications
Issue number3
Publication statusPublished - 1 Mar 2012


  • Communication channels
  • dispersive channels
  • fading channels
  • geometric modeling
  • multipath channels
  • scatter channels
  • spatial correlation
  • stochastic geometry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this