Toeplitz-Based Underwater Acoustic Channel Blind Deconvolution

In this paper, we propose a blind channel deconvolution method based on the Least Absolute Shrinkage and Selection Operator (LASSO). Using a Toeplitz structured formulation of the received signal, we form an iterative blind deconvolution scheme, alternatively estimating the underwater impulse response, and alternatively the transmitted waveform. The resulting optimizations are convex, and we formulate a computationally efficient solver using the Alternating Direction Method of Multipliers (ADMM). We illustrate the performance of the resulting estimator using both simulated and measured underwater signals.