Cramer Rao bounds for channel estimation with symbol a priori information

Wautelet, X.;Herzet, C.;Vandendorpe, Luc
(2005) The Sixth IEEE International Workshop on Signal Processing Advances in Wireless Communications — Location: New York, NY, USA (5.June.2005)

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Abstract
In this paper we derive the Cramer-Rao bound (CRB) for the estimation of a multiple-input multiple-output (MIMO) channel when a given a priori information about the transmitted sequence is available. This approach also enables to compute the non-data-aided (NDA) bound, i.e. the CRB when the receiver only knows the symbol constellation. We explore various scenarios, including the case of a deterministic channel and the case of a random channel. Numerical evaluations of the CRB-based bounds are presented for different channels. In particular, the influence of the symbol-constellation size is highlighted. Finally, the performance of an estimator based on the expectation-maximization algorithm is shown to be very close to the proposed bounds.
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Wautelet, X., Herzet, C., & Vandendorpe, L. (2005). Cramer Rao bounds for channel estimation with symbol a priori information. The Sixth IEEE International Workshop on Signal Processing Advances inWireless Communications (IEEE Cat. No. 05EX992), 715-719. https://hdl.handle.net/2078.5/230970