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This paper proposes a joint source and channel coding (JSCC) method for MPEG-2 video transmission. Based on the current channel status, this JSCC method finds the best source and channel code rate distribution. Due to the different bit error sensitivity of the source code. we apply unequal error protection (UEP) for the source bits by using so-called rate compatible punctured convolution (RCPC) channel coder for efficient protection during channel transmission. In the simulations. we illustrate that under the conditions of the same channel status and total bit rate. our method provides the minimal overall distortion of the MPEG-2 video compared to the equal error protection(EEP) coding.