In this paper we propose the use of integer wavelet [2] as a decorrelation stage for adaptive context based lossless audio coding. The original wideband audio signal is first decomposed in wavelet subbands. The resulted coefficients are integer valued and therefore can be transmitted using an adaptive context based method, in a lossless manner, the decoder being able to reconstruct them and aft...

With the recent development of wavelet-based techniques for computational fluid dynamics, adaptive numerical simulations of turbulent flows have become feasible [1]. Adaptive wavelet methods are based on wavelet threshold filtering that makes it possible to separate coherent energetic eddies, which are numerically simulated, from residual background flow structures that are filtered out. By var...

The multiscale complexity of modern problems in computational science and engineering can prohibit the use traditional numerical methods multi-dimensional simulations. Therefore, novel algorithms are required these situations to solve partial differential equations (PDEs) with features evolving on a wide range spatial temporal scales. To meet challenges, we present multiresolution wavelet algor...

The method of wavelet thresholding for removing noise, or denoising, has been researched extensively due to its effectiveness and simplicity. Much of the literature has focused on developing the best uniform threshold or best basis selection. However, not much has been done to make the threshold values adaptive to the spatially changing statistics of images. Such adaptivity can improve the wave...

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 paper proposes a hardware-efficient architecture design of wavelet-based adaptive visible watermarking. Our method adopts discrete wavelet transform (DWT) to embed visible watermarking. We perform this algorithm using hardware-efficient architectures that combine operational reduction and resource sharing techniques. Our method provides high quality visible watermarking image and small har...

A wavelet optimized finite difference (WOFD) method is presented for adaptively solving a class of singularly perturbed elliptic and parabolic problems. The method is based on an interpolating wavelet transform using polynomial interpolation on dyadic grids. Adaptive feature is performed automatically by thresholding the wavelet coefficients. Numerical examples for elliptic and parabolic proble...