Performance characteristics of optimal and quantized, phase-only time-of-arrival systems

Analytical performance characteristics and processing gain of the optimal detection and time-delay estimation system are derived for the case of time-delayed, white, Gaussian stochastic signals observed at two separate receivers in the presence of noise. The equivalence of the optimal system to a classical one-receiver system is indicated and the results are shown to be generally applicable. The optimal Time-of-Arrival system performance bounds are compared to the performance characteristics of a quantized phase-only system with significantly reduced data transfer requirements.