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The Ricean K factor: estimation and performance analysis
Tepedelenlioglu, C.   Abdi, A.   Giannakis, G.B.  
Telecommun. Res. Center, Arizona State Univ., Tempe, AZ, USA;

This paper appears in: Wireless Communications, IEEE Transactions on
Publication Date: July 2003
Volume: 2,  Issue: 4
On page(s): 799- 810
ISSN: 1536-1276
INSPEC Accession Number: 7705861
Digital Object Identifier: 10.1109/TWC.2003.814338
Current Version Published: 2003-07-09

Abstract
In wireless communications, the relative strength of the direct and scattered components of the received signal, as expressed by the Ricean K factor, provides an indication of link quality. Accordingly, efficient and accurate methods for estimating K are of considerable interest. In this paper, we propose a general class of moment-based estimators which use the signal envelope. This class of estimators unifies many of the previous estimators, and introduces new ones. We derive, for the first time, the asymptotic variance (AsV) of these estimators and compare them with the Cramer-Rao bound (CRB). We then tackle the problem of estimating K from the in-phase and quadrature-phase (I/Q) components of the received signal and illustrate the improvement in performance as compared with the envelope-based estimators. We derive the CRBs for the I/Q data model, which, unlike the envelope CRB, is tractable for correlated samples. Furthermore, we introduce a novel estimator that relies on the I/Q components, and derive its AsV even when the channel samples are correlated. We corroborate our analytical findings by simulations.

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