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Provided is a fast hybrid jacket-hadamard matrix based diagonal block-wise transform method. A data transform method according to the embodiment of the present invention performs at least one transform among DCT-II, DST-II, DFT, and HWT in inputted data. According to the embodiment of the present invention, individual DCT-II, DST-II, DFT, and HWT matrixes are decomposed into a specific sparse matrix corresponding to one orthogonal matrix.COPYRIGHT KIPO 2015