SNR threshold indicator in data-aided frequency synchronization

The signal-to-noise ratio (SNR) threshold behavior is studied in the frame of data-aided carrier synchronization in additive white Gaussian noise. The closed form expression of the Chapman-Robbins bound, relative to the carrier frequency offset estimation is first established then used to derive an indicator of the SNR threshold. For a given sequence of pilot symbols, the threshold region is localized at the departure of the Chapman-Robbins bound from the Cramer-Rao bound. The data-aided maximum likelihood estimator is considered to examine the derived indicator usefulness.

[1]  A. Gualtierotti.  H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[2]  John S. Baras,et al.  On the performance limits of data-aided synchronization , 2003, IEEE Trans. Inf. Theory.

[3]  Robert Boorstyn,et al.  Single tone parameter estimation from discrete-time observations , 1974, IEEE Trans. Inf. Theory.

[4]  Luc Knockaert,et al.  The Barankin bound and threshold behavior in frequency estimation , 1997, IEEE Trans. Signal Process..

[5]  D. G. Chapman,et al.  Minimum Variance Estimation Without Regularity Assumptions , 1951 .

[6]  M. Melamed.  Detection , 2021, SETI: Astronomy as a Contact Sport.

[7]  Philippe Forster,et al.  On lower bounds for deterministic parameter estimation , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  John S. Baras,et al.  On the true Cramer-Rao lower bound for the DA joint estimation of carrier phase and timing offsets , 2000, 2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record.

[9]  Hagit Messer,et al.  Source localization performance and the array beampattern , 1992, Signal Process..

[10]  E. Barankin.  Locally Best Unbiased Estimates , 1949 .

[11]  Jacob Ziv,et al.  Some lower bounds on signal parameter estimation , 1969, IEEE Trans. Inf. Theory.

[12]  Heidi Steendam,et al.  Low-SNR limit of the Cramer-Rao bound for estimating the carrier phase and frequency of a PAM, PSK, or QAM waveform , 2001, IEEE Communications Letters.