Variable time delay estimation in colored and correlated noise environment

A new iterative algorithm for variable time delay estimation (TDE) is presented. The algorithm is based on a system model where two received signals of the form r₁(i)=s (i)+n₁(i) and r₂(i)=s(i-D( i))+n₂(i) are used to estimate the delay. In the model i is the discrete-time index, s( i) is the source signal, D(i) is the (integer) delay waveform, and n₁(i) and n₂(i) are colored and correlated noises. An iterative delay estimator is devised based on the minimum mean-square error criterion and a linearized observation model. The estimator involves a weighting function that is designated to facilitate the convergence to delay estimate. Simulations are run to test the performance of the algorithm. Results of the simulations are presented