吉林大学学报(工学版) ›› 2011, Vol. 41 ›› Issue (增刊1): 325-331.

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SDCT operation based on transform basic matrix

SUN Wen-bang1,2, CHEN He-xin1, SUN Wen-bin3, CHENG Hong2   

  1. 1. College of Communication Engineering, Jilin University, Changchun 130022, China;
    2. Department of Aviation Information, Aviation University of Air Force, Changchun 130022, China;
    3. School of Mathematics and Physics, Anhui University of Techology, Ma'anshan 243002, China
  • Received:2011-05-27 Online:2011-09-01 Published:2011-09-01

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Abstract:

Facing the 1-D DCT,2-D DCT and 3-D DCT haven't unified mathematical expression,and multidimensional DCT operation is accomplished by computing 1-D DCT to each dimension of 3-D data successively,which cannot embody the overall space character of multidimensional transformation well.To overcome such drawbacks,a new SDCT method was proposed.First,several matrix operation methods were defined.Then,the operation principle of 1-D DCT,2-D DCT and 3-D SDCT was described in detail.Finally,the performance of SDCT was described.The theoretical analysis shows that the SDCT makes DCT unified and succinct to express,easy to comprehend and convenient to operate.

Key words: information processing, DCT, transform basic matrix, basic signal, matrix operation

CLC Number: 

  • TN91


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