A new straightforward design of a special class of elliptic IIR lters is presented. The major goal is the complexity reduction of the realized digital lter. The multiplier coe cients are implemented with limited number of shift-and-add operations. This method is also called "multiplierless". Unlike classical design, a closed-form relations are derived giving relationships between the lter speci...

Aiming at the more complex frequency translation, the longer response time and the limited measurement precision in the traditional phase processing, a high-resolution phase processing method by group quantization higher than 100 fs level is proposed in radio frequency measurement range. First, the phase quantization is used as a step value to quantize every phase difference in a group by using...

Many image compression standards (JPEG, MPEG, H.261) are based on the Discrete Cosine Transform (DCT). However, these standards do not specify the actual DCT quantization matrix. We have previously provided mathematical formulae to compute a perceptually lossless quantization matrix. Here I show how to compute a matrix that is optimized for a particular image. The method treats each DCT coeffic...

A new approach to constructing the noncommutative scalar field theory is presented. Not only between x̂i and p̂j, we impose commutation relations between x̂is as well as p̂js, and give a new representation of x̂i, p̂js. We carry out both firstand second-quantization explicitly. The second-quantization is performed in both the operator formalism and the functional integral one. e-mail: [email protected]...

We study the vacuum structure in free QED utilizing the technic of the second quantization. There is argument of the gauge independence of physical states in the paper. We give an effect characterizing the second quantization. How to produce general physical states is also shown.

Two-sided quantum K-systems can be considered on the C* and von Neumann level. Via rst and second quantization examples can be constructed without obstacles on the C* level. On the von Neumann level, however, q-deformation in second quantization prohibits KMS-states. Nevertheless, an example can be found of a two-sided modular K-system, where the relative commutants are trivial.

Color quantization is an essential technique in color image processing, which has been continuously researched. It is often used, in particular, as preprocessing for many applications. Self-Organizing Map (SOM) color quantization is one of the most effective methods. However, it is inefficient for obtaining accurate results when it performs quantization with too few colors. In this paper, we pr...