A common belief in quantization theory says that the quantization noise process resulting from uniform scalar quantization of a correlated discrete time process tends to be white in the limit of small distortion (\high resolution"). A rule of thumb for this property to hold is that the source samples have a \smooth" joint distribution. We give a precise statement of this property, and generaliz...

Scalar quantization is the most practical and straightforward approach to signal quantization. However, it has been shown that scalar quantization of oversampled or Compressively Sensed signals can be inefficient in terms of the rate-distortion trade-off, especially as the oversampling rate or the sparsity of the signal increases. Recent theoretical work has provided some insights on improving ...

In this paper, we proposed a passive scheme to achieve image forgery. The inconsistent measure of quantization table is characterized to develop the proposed scheme. The proposed scheme is composed of candidate region selection, quantization table estimation, and forgery detection. To select candidate regions for estimating quantization table, a split-and-merge algorithm based on quad-tree deco...

Recent research in the design of filter banks has shown that nonorthogonal filter banks can potentially provide higher coding gains over orthogonal filter banks. The use of non-orthogonal filter banks, however, poses a difficulty in the quantization of subband signals. The conventional nearest-neighbor (NN) encoding rule for the quantization of subband signals is no longer optimal. In this pape...

This is a survey on our recent works which reveal new relationships among deformation quantization, geometric Berezin-Toeplitz quantization and BV K\"ahler manifolds.

For a particle moving in a one-dimensional space an under a periodic external force, its quantization is study using the Hamiltonian (generalized linear momentum quan-tization) and constant of motion (velocity quantization) approaches. it is shown a great difference on the quantization of both approaches and the ambiguities arisen by using the quantization on the constants of motion.

In this paper, we study the performance of the PCM scheme with linear quantization rule for quantizing finite unit-norm tight frame expansions for R and derive the PCM quantization error without the White Noise Hypothesis. We prove that for the class of unit norm tight frames derived from uniform frame paths the quantization error has an upper bound of O(δ) regardless of the frame redundancy. T...

In this paper, we have proposed and implemented a new music retrieval system based on content of music wave files. We have investigated different quantization methods by constructing them into the music data histograms as the feature vectors for the music files. There are three important aspects that will affect implementation of the system: audio feature extraction, quantization and distance c...

Recently Gao et al. proposed a wavelet-based image quality metric, based on which, a quality constrained image subband quantization scheme is derived for lossy compression. But this scheme needs entropy coding to find the compression ratio decrement for tuning the final quantization step of each subband, which is time consuming and wasteful. In addition, computing the initial quantization steps...

When geometric quantization is applied to a manifold using a real polarization which is “nice enough”, a result of Śniatycki says that the quantization can be found by counting certain objects, called BohrSommerfeld leaves. Subsequently, several authors have taken this as motivation for counting Bohr-Sommerfeld leaves when studying the quantization of manifolds which are less “nice”. In this pa...