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A match filter design method based on logistic regression is present to solve the target detection for rotating camera images with single sampling. According to the characters of the targets in the image, analyze the target character with single sampling adequately, and chose the learning sample covering all the characters. Considering the clutter and noise are confused into the image, the Single Cluster Noise Ratio (SCNR) is introduced to evaluate the effectiveness of the match filter optimized. The optimization condition is the maximum of the SCNR, and the iteration optimization is utilized to obtain the module of the match filter. The simulation is completed to compare the performances of the match filter optimized using the method proposed in this paper and in the literature. The experiment indicates that it is more valid for the match filter optimized.