Minimum variance unbiased and moment estimators of carrier...

Pulse or digital communications – Receivers – Angle modulation

Reexamination Certificate

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C375S260000, C375S344000

Reexamination Certificate

active

11195219

ABSTRACT:
A class of non data-aided cyclic based robust estimators for frequency offset estimation of multi-carrier systems is disclosed. The use of sufficient statistics provides a minimum variance unbiased (MVU) estimate of the frequency offset under complete knowledge of timing offset error. The Neyman-Fisher factorization theorem and Rao-Blackwell-Lehmann-Scheffe theorem are used to identify the sufficient statistic and appropriate mapping functions. It is shown that there is but one function of the sufficient statistics which results in the minimum variance estimate among the possible class of cyclic-based estimators. Also, a moment estimator of frequency offset is provided to obtain a consistent estimate of carrier offset under uncertain symbol timing error. The moment estimator does not rely on any probabilistic assumptions. Thus, its performance is insensitive to the distribution of the additive noise. A unified structure characterizing both the MVU and moment estimators, as well as a maximum likelihood estimator of a related, copending application is disclosed.

REFERENCES:
patent: 6618452 (2003-09-01), Huber et al.
Kam, Pooi Yuen, “FSK Detection Using Frequency Estimator”, Sep. 1995, Electronics Letters, vol. 31, Issue 19, pp. 1631-1631.
Zavarsky et al., “Non-Higher Order Moment Estimation Based Method for Detection of Frequency of Signal from its Multiplicatively Corrupted Version”, Sep. 1995, Electronics Letters, vol. 31, Issue 19, pp. 1632-1634.
Lashkarian et al., “Minimum Variance Unbiased Estimation of Frequency Offset in OFDM Systems, a Blind Synchronization Approach”, Jun. 2000, IEEE, ICASSP, vol. 5, pp. 2945-2948.
Lashkarian et al., “Class of Cyclic-Based Estimators for Frequency-Offset Estimation of OFDM Systems”, Dec. 2000, IEEE Transactions on Communications, vol. 48, Issue 12, pp. 2139-2149.

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