Infrastructure-based mobile-positioning is receiving increasing attention in the field of wireless communications. This is is due to an order issued by the Federal Communications Commission (FCC) that mandates all wireless service providers to locate an emergency 911 caller within a high accuracy. Overlapping multipath propagation is one of the main sources of mobile-positioning errors, especially in fast channel fading situations. We present a mathematical framework for overlapping multipath propagation over fading channels, which leads to developing a block least squares method for overlapping multipath resolving.