This dissertation looks at the problem of dynamic resource allocation (DRA) in both single-user and multi-user wireless fading channels. This dissertation investigates various key issues on implementation of DRA in wireless systems, such as delay constraint, algorithm complexity, feedback overhead, transceiver structure, and fairness between users, among others. This dissertation demonstrates the usefulness of convex optimization techniques for solving DRA problems in wireless fading channels. First, this dissertation studies the capacity limits and power-control policies for the single-user...