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With the development of information processing technology, DCT has been used more and more widely and the research on DCT algorithm is very much too. But the physical performance of DCT is unclear. To overcome such drawbacks, the paper has proposed 1-D SDCT operation method. First, some new 1-D matrix operation principles are defined. Then, the transform basic matrix used for 1-D SDCT operation was build and the operation principle of 1-D SDCT is described in detail. Finally, the performance of 1-D SDCT was described systematically. The theoretical analysis shows that the proposed method makes DCT easy to comprehend and convenient to operate.