The Relationship of Transform Coefficients for Differing Transforms and/or Differing Subblock Sizes

B.J. Davis, S.H. Nawab
2004 IEEE Transactions on Signal Processing  
Jiang and Feng have developed a relationship between the discrete cosine transform (DCT) coefficients of a block and those of its subblocks. Their derivation of this result can be significantly simplified. The new derivation also generalizes to all linear, invertible transforms and any separable subblock geometry. Index Terms-Separable transform, subblock transform, transform coefficient relationship, transform domain processing.
doi:10.1109/tsp.2004.826165 fatcat:vhu42eodcrad7bbhswspfksyia