Optimal below Threshold Delay Estimation for Radio Signals

Time delay estimation of a random signal observed at twospatially separated sites is a problem of considerable practicalinterest. Radio-frequency (RF) signals pose a difficulty that does notarise while treating sonar or other low frequency signals: the signalprocessing can be performed only on low frequency versions of theobserved signals. We propose an estimation scheme, based oncomplex envelopes, the mean square error (MSE) of which achievesthe performance predicted by Barankin, Bellini-Tartara, and Weiss-Weinsteinlower bounds. The proposed scheme was tested byextensive computer simulations, and the results are in closeagreement with theory predictions. Moreover, a real-time hardwareimplementation of the algorithm was developed and testedsuccessfully using real RF signals.