Apparatus and method for converting in a transformed representation or to the inverse conversion of the transformed representation

摘要

For converting a first and a second block of discrete values in a transformed representation, the first block according to a first transformation rule, and then rounded transformed. The rounded transformed values are subsequently with the second block of original discrete values are summed, in order to then the sum is to process according to a second transformation rule. The output values of the transformation by means of the second transformation rule, in turn, be rounded and then from the original discrete values of the first block of discrete values subtracted from a block of integer output values of the transformed representation to obtain. By means of this multidimensional lifting - scheme, a loss-free integer - transformation is achieved which, by applying the same transformation rules, but with reversed sign in the case of the summation or subtraction, can be reversed, so that also an inverse integer transformation can be achieved. In comparison to a bursting of a transformation into rotations, on the one hand, a markedly reduced, with the computing complexity is achieved and, on the other hand, an accumulation of approximation errors are avoided.