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Reversible integer-to-integer (I2I) mapping of orthonormal transforms are vital for developing lossless coding with scalable decoding functionalities. A general framework for reversible I2I mapping of N-point, where N is a positive integer power of 2, orthonormal block transforms using recursive factorization of such transform matrices and the lifting scheme is presented. Designs include the discrete...
The DC and Nyquist responses of the filters in a two-channel perfect reconstruction filter bank are expressed in terms of the lifting filters in a lifting decomposition. The computation makes use of the cascade-form representation of lifting steps as lower- and upper-triangular factor matrices in the polyphase-with-advance representation. A functional relationship is derived connecting the DC and...
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