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This paper proposes a new blind method to estimate the channel parameters such as the direction-of-arrival (DOA) and multipath time-of-arrival (TOA) for a communication system. We employ mathematical inverse problem techniques to find the solution. We specify an appropriate physical model to explain the received signal and reformulate the nonlinear estimation problem into a linear least squares problem. We then apply conjugate gradients (CG) iterations on the resulting normal equations (NE) to obtain the solution. We demonstrate our method for a W-CDMA system and extend the methods to an ultra-wideband (UWB) system. We also present a method for multiuser detection (MUD).