DEVICE AND METHOD FOR CONVERSION INTO A TRANSFORMED REPRESENTATION OR FOR INVERSELY CONVERTING THE TRANSFORMED REPRESENTATION

摘要

In order to convert a first and second block of discrete values into a transformed representation, the first block is transformed (102) according to a first transformation rule, after which it is rounded (104). The rounded transformed values are subsequently summed up (106) with the second block of original discrete values in order to then process (108) the summation result according to a second transformation rule. The initial values of the transformation are, in turn, rounded (110) using the second transformation rule, and are subsequently subtracted (112) from the original discrete values of the first block of discrete values in order to obtain a block of integer initial values of the transformed representation. By using this multi-dimensional lifting schema, a lossless integer transformation is achieved that, by employing the same transcription rules, can, however, be undone with inverted signs during the summation or subtraction so that an inverse integer transformation can also be achieved. In comparison to dividing a transformation in rotations, a distinctly reduced computational complexity is achieved and an accumulation of approximation errors is avoided.