The problem of the mass spectrum elementary particles is considered from positions reductionism and holism. It shown that in holistic description, concept substance (energy) paramount importance, are understood as emergent states play a secondary role. A system axioms given defines basic definitions matter. In this case, (“elementary particles”) appears result quantization. formula derived depe...

A watermarking scheme for distinguishing different copies of the same multimedia document (fingerprinting) is investigated. Efficient transmission of natural data requires lossy compression, which might impair the embedded watermark. We investigate whether the quantization step in compression schemes can be replaced by dithered quantization to combine fingerprinting and compression. Dithered qu...

Quantization is a necessary intermediate step in any digital processing device. The Memoryless Scalar quantization and the Sigma Delta quantization are two well known quantization schemes with different emphasis. In this talk, I will discuss the quantization problem raised in frame theory and compressed sensing, and explain the benefit that Sigma Delta quantization can deliver. In particular, w...

Quantization is still a central problem of modern physics. One example of an unsolved problem is the quantization of Nambu mechanics. After a brief comment on the role of Harrison cohomology, this review concentrates on the central problem of quantization of QCD and, more generally, quark confinement seen as a problem of quantization. Several suggestions are made, some of them rather extravagant.

In this paper, we study an asymptotic approximation of the Fisher information for the estimation of a scalar parameter using quantized measurements. We show that, as the number of quantization intervals tends to infinity, the loss of Fisher information induced by quantization decreases exponentially as a function of the number of quantization bits. A characterization of the optimal quantizer th...

In this paper, we introduce a soft vector quantization scheme with inverse power-function distribution, and analytically derive an upper bound of the resulting quantization noise energy in comparison to that of typical (hard-deciding) vector quantization. We also discuss the positive impact of this kind of soft vector quantization on the performance of machine-learning systems that include one ...

The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analog-to-digital conversion was first recognized during the early development of pulsecode modulation systems, especially in the 1948 paper of Oliver, Pierce, and Shannon. Also in 1948, Bennett pu...

This work addresses the general procedure of quantization also known as Berezin-Klauder-Toeplitz quantization, or coherent state (CS) (anti-Wick) quantization. The method is first illustrated by motion a particle on circle. Then, we take second example, set generalized photon-added states related to associated hypergeometric functions. nonclassical behaviour this investigated.