Formulation and Comparison of Two Detectors of Independent Timing Jitter in a Complex Harmonic

Abstract

Two detectors of symmetrically distributed independent timing jitter in a data record composed of a complex harmonic in additive white Gaussian noise are proposed. The proposed detectors are computationally efficient, and although they are formulated using asymptotic results, they may be effectively used with small sample lengths under a wide range of conditions. The conditions required for consistency of the detectors are derived and examined for important special cases. The performances of the detectors are analyzed using simulations