Multipath time-delay detection and estimation

A transmitted and known signal is observed at the receiver through more than one path in additive noise. The problem is to estimate the number of paths and, for each of them, the associated attenuation and delay. We propose a deconvolution approach with an additive regularization term built around an l(1) norm. The underlying optimization problem is transformed into a quadratic program and is, thus, easily and quickly solved by standard programs. The procedure is able to handle more severe conditions than previous methods.