In this paper, a novel method to estimate the multi-path time delays of broadband signal transmission is proposed. This new method extends the existed basis selection methods. The difference between the problems discussed here and that of basis selection is the occurrence of an unknown weight matrix in the measurement equation, which represents the frequency characteristics of the received signal. Existed basis selection methods are insufficient to solve the problem. We introduced an iterative algorithm in consideration of bi-sparse constraint on solutions of a constructed equation and developed a method based on order recursive matching pursuit (ORMP) to obtain the solution. Both solution vectors and weight matrix are updated iteratively in our algorithm. Validation of the proposed method is confirmed by simulations.
Key words: Multi-path time delay, bi-sparse constraint, order recursive matching pursuit (ORMP).
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