The Cramér-Rao bound for joint parameter estimation of burst-mode QPSK

Authors:
Christopher Shaw;Michael Rice
Affiliations:
Brigham Young University, Provo, UT;Brigham Young University, Provo, UT
Venue:
MILCOM'09 Proceedings of the 28th IEEE conference on Military communications
Year:
2009

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Numerical recipes in C (2nd ed.): the art of scientific computing

Numerical recipes in C (2nd ed.): the art of scientific computing
Conditional maximum likelihood timing recovery: estimators andbounds

IEEE Transactions on Signal Processing

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Abstract

We derive the Cramér-Rao Bound (CRB) on the performance of joint estimators for timing offset, carrier phase offset, and carrier frequency offset for use in a QPSK packet-based communication link. It is shown that the CRB is a function of the pilot or training sequence, the signal-to-noise ratio (SNR), and the pulse shape. We also compute QPSK training sequences of different lengths that minimize the CRB for each of the parameters.