A new class of lifting wavelet transform for guaranteeing losslessness of specific signals

This paper proposes a new class of lifting wavelet transform which can guarantee losslessness of specific signals, e.g. white balance. The 5/3 wavelet transform composed of two lifting steps can reconstruct an input signal without any loss and has been utilized for lossless coding. The 9/7 wavelet contains two more lifting steps and two scaling pairs for effective lossy coding. However the losslessness is not guaranteed due to rounding of signal values and scaling coefficient values. This paper analyzes condition on word length (WL) and bit depth (BD) for the losslessness and proposes a new class of wavelet transform with "DC lossless " property which is a kind of specific losslessness. This can be utilized as a standard condition for algorithms or LSI processors to guarantee no error from the wavelet transform for white balance signals.