An efficient technique for error-free algebraic-integer encoding for high performance implementation of the DCT and IDCT

A recently introduced algebraic integer encoding scheme allows low complexity, virtually error free computation of the DCT and IDCT. Efficiencies can be introduced into this method, but at the expense of some increase in error. In this paper, a modification to the encoding scheme is introduced for specific architectures which provides increased implementation efficiency, but with no sacrifice in accuracy. We provide a theoretical study of this new approach and illustrate the technique using selected DCT and IDCT algorithms.