The true Cramer-Rao bound for estimating the time delay of a linearly modulated waveform

N. Noels, H. Steendam, M. Moeneclaey
2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333)  
In this contribution we consider the Cramer-Rao bound (CRB) for the estimation of the time delay of a noisy linearly modulated signal with random data symbols. In spite of the presence of the nuisance parameters (i.e., the random data symbols), we obtain a closed-form expression of this CRB for arbitrary PSK, QAM or PAM constellations and a bandlimited square-root Nyquist transmit pulse.
doi:10.1109/icc.2002.997095 dblp:conf/icc/NoelsSM02 fatcat:otzob77tx5exnogncalhn5j3qy