Estimating group delay and phase delay via discrete-time “analytic” cross-correlation

Starting with two finite N-point real-valued discrete time signals, frequency domain algorithm procedures are provided for estimating the group delay and phase delay between the signals. These delays are extracted from the complex-valued discrete-time “analytic” cross-correlation sequence computed using the two signals. Special adjustments of the cross-correlation transform end points are shown to be necessary in order to generate a proper “analytic” cross-correlation sequence. Two cases are considered for delay estimation (1) to sample-interval resolution and (2) to subsample-interval resolution by interpolation