True Cramer-Rao bound for timing recovery from a bandlimited linearly Modulated waveform with unknown carrier phase and frequency

@article{Noels2004TrueCB,
  title={True Cramer-Rao bound for timing recovery from a bandlimited linearly Modulated waveform with unknown carrier phase and frequency},
  author={Nele Noels and Henk Wymeersch and Heidi Steendam and Marc Moeneclaey},
  journal={IEEE Transactions on Communications},
  year={2004},
  volume={52},
  pages={473-483}
}
This paper derives the Cramer-Rao bound (CRB) related to the estimation of the time delay of a linearly modulated bandpass signal with unknown carrier phase and frequency. We consider the following two scenarios: joint estimation of the time delay, the carrier phase, and the carrier frequency; and joint estimation of the time delay and the carrier frequency irrespective of the carrier phase. The transmit pulse is a bandlimited square-root Nyquist pulse. For each scenario, the transmitted… CONTINUE READING
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