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This paper proposes an improved rate allocation method, based on a sliding window, for FGS (fine granular scalability) video bit-streams. It can allocate the rate for every frame in the FGS video bit-stream rapidly, to smooth video quality under dynamical channel conditions. The paper formulates the FGS rate allocation problem under time-varying channel conditions using a sliding window to record the available network bandwidth. Under the constrained bandwidth, the proposed method first allocates rates in advance and creates a reference window by solving the problem of constant quality constrained FGS rate allocation. Then by refreshing the reference and sliding windows, the rate allocation of other frames can be solved rapidly. Theoretical analysis and simulation results for the method demonstrate its low complexity and high performance.