Digital Image Coding with Hybrid Wavelet Packet Transform

The wave packet transform associated with the linear canonical transform

“…Wavelet analysis presents an attractive alternative to the STFT by utilizing windows of variable width, which can effectively provide A c c e p t e d M a n u s c r i p t 2 resolution of varying granularity [3]. In the past decades, wavelet packet transform (WPT) has been gained much attention [4]- [13] and successfully applied in de-noising, image compression and encryption in wireless communication [9]- [11], The reason of its wide usage in signal processing is that it has some better virtues than wavelet transform (WT), as it can realize multilevel decomposition and analyze the high frequency that is not achieved in common discrete WT. According to the characteristics of a signal, we choose the corresponding frequency subbands by wavelet packet decomposition and improve the time-frequency resolving ability.…”