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We consider an energy-efficient video streaming system where source coding, channel coding, and transmission power allocation are jointly designed to compensate for channel errors. Our focus is on streaming applications with relatively strict delay constraints; for such applications, forward error correction (FEC) is the preferred channel coding technique to recover from packet losses. We propose a framework of joint source-channel coding and power allocation (JSCCPA), where resources such as bandwidth and transmission power are optimally allocated to provide unequal error protection (UEP) for achieving the best video quality. An efficient algorithm based on Lagrangian relaxation and dynamic programming is proposed to solve the constrained optimization problem. Simulation results illustrate the advantage of the proposed framework.