Highly scalable wavelet video codec is proposed for Internet video streaming applications based on the simplified JPEG-2000 compression core. Most of existing video solutions are utilizing fixed temporal grouping structure, resulting in quality degradation due to structural mismatch with inherent motion and scene change. Thus, by adopting the adaptive frame grouping based on the fast scene chan...

An image compression algorithm based on wavelet packet transform is introduced. The algorithm extends the parent-children link established across dyadic wavelet decomposition bands to a parent-children link across wavelet packet decomposition bands. Then, a method proposed for the efficient encoding of dyadic wavelet transform coefficients [1] is used for encoding of wavelet packet transform co...

In this paper, we propose a hybrid video coder using the wavelet packet transform and motion compensation. To reduce the computational complexity of the wavelet packet decomposition, a novel criterion based on the rate-distortion function is proposed. After the wavelet packet transform, the successive quantization scheme and the adaptive arithmetic coder are applied for lossy wavelet coe cient ...

This paper outlines a new perceptual low bit rate audio coding scheme based on adapted wavelet representations. It claims wavelet tree and filter adaptation attending to a perceptual entropy-based method. To achieve such adaptive structure, a periodized wavelet packet transform is performed for each audio frame. After the transform, the encoder employs scalar adaptive quantization, controlled b...

‎This article presents a systematic study for structure of finite wavelet frames‎ ‎over prime fields‎. ‎Let $p$ be a positive prime integer and $mathbb{W}_p$‎ ‎be the finite wavelet group over the prime field $mathbb{Z}_p$‎. ‎We study theoretical frame aspects of finite wavelet systems generated by‎ ‎subgroups of the finite wavelet group $mathbb{W}_p$.

We consider best m-term approximation in Lp(R) with wave packets generated from a single refinable function. The main examples of such wave packets are orthonormal wavelets or more generally tight wavelet frames based on an MRA (so-called framelets). The approximation classes associated with best m-term approximation in Lp(R) with such wave packets are completely characterized in terms of Besov...

The main goal of this paper is to consider the necessary conditions of wave packet systems to be frames in higher dimensions. The necessary conditions of wave packet frames in higher dimensions with several generators are established, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. The existing results are generalized to the case of several gen...

Study for improving the coded speech by tight framelet packet transform In this paper we propose to study the performance of a new time-frequency representation called the tight framelet packets transform in speech coding. For this, we performed a comparative study with the wavelet packets transform. Performance evaluation was done using various objective criteria : the coding gain, the normali...