Title :
The true Cramer-Rao bound for estimating the time delay of a linearly modulated waveform
Author :
Noels, Nele ; Steendam, Heidi ; Moeneclaey, Marc
Author_Institution :
TELIN Dept., Ghent Univ., Gent, Belgium
Abstract :
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.
Keywords :
delay estimation; noise; phase shift keying; pulse amplitude modulation; quadrature amplitude modulation; signal representation; CRB; PAM; PSK; QAM; bandlimited square-root Nyquist transmit pulse; closed-form expression; linearly modulated waveform; nuisance parameters; random data symbols; time delay; true Cramer-Rao bound; Chirp modulation; Closed-form solution; Cramer-Rao bounds; Delay effects; Delay estimation; Frequency estimation; Parameter estimation; Phase shift keying; Quadrature amplitude modulation; Timing;
Conference_Titel :
Communications, 2002. ICC 2002. IEEE International Conference on
Print_ISBN :
0-7803-7400-2
DOI :
10.1109/ICC.2002.997095
