High resolution Doppler and delay estimation

Receiving an output signal which is a weighted sum of Doppler and delay shifted versions of an input signal arises in various engineering systems including radar, sonar, and communications. It is often desired to estimate the Doppler and delay parameters from noisy measurements of the output signal. An estimation algorithm is developed herein for the Doppler frequencies, delays and amplitudes, for a specific choice of the input. The algorithm is based on a computationally efficient search-free frequency estimation technique for the sum of complex exponentials. The algorithm has been shown to be statistically efficient and to provide high resolution compared to estimates provided by the complex ambiguity function (CAF).