Title :
A new class of lifting wavelet transform for guaranteeing losslessness of specific signals
Author :
Kiya, Hitoshi ; Iwahashi, Masahiro ; Watanabe, Osamu
Author_Institution :
Tokyo Metropolitan Univ., Tokyo
fDate :
March 31 2008-April 4 2008
Abstract :
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.
Keywords :
encoding; signal reconstruction; wavelet transforms; DC lossless property; bit depth; effective lossy coding; lifting steps; lossless coding; scaling pairs; signal losslessness; signal reconstruction; wavelet transform; white balance signals; word length; Decoding; Digital images; Frequency; Image coding; Image reconstruction; Large scale integration; Roundoff errors; Signal processing; Wavelet analysis; Wavelet transforms; coding; lossless; specific; wavelet;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-1-4244-1483-3
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2008.4518349