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Fourth-Order Spatial Correlation-Coefficient Across the Uplink Receiver's Spatial Aperture — Analytically Derived in Closed Form

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4 Author(s)
Cheng-Siang Wang ; Dept. of Appl. Math., Nat. Sun Yat-sen Univ., Kaohsiung, Taiwan ; Meihui Guo ; Wong, K.T. ; Piterbarg, V.I.

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.

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Communications, IEEE Transactions on  (Volume:60 ,  Issue: 3 )