Structures of processors for calculating the instant Walsh spectrum

The work is devoted to the development of circuits for fast Walsh transform processors of the serialparallel type. The fast Walsh transform processors are designed for decoding error-correcting codes and synchronization; their use can reduce the cost of calculating the instantaneous Walsh spectrum by almost 2 times. The class of processors for computing the instantaneous spectrum according to Walsh is called serialparallel processors. Circuits of the fast Walsh transform processors of serial-parallel type have been developed. A comparative analysis of the constructed graphs of the fast Walsh transform processors is carried out. A method and a processor for calculating the Walsh transform coefficients are proposed, which allows increasing the speed of the transformations performed. When calculating the conversion coefficients using processors of parallel, serial and serial-parallel types, it was found that controllers of the serial-parallel type require 2(N–1) operations when calculating the instantaneous spectrum according to Walsh. The results obtained can be used in the design of discrete information processing devices, in telecommunication systems when coding signals for their noise-immune transmission and decoding, which ensures the optimal number of operations, and therefore the optimal hardware costs.

A simple holographic universe

In the context of an evolution occurring in thick present instants, we investigate the possible emergence of a spacelike foliation through a toy model based on the information of entanglement among quanta of space. We elaborate the hypotheses of the model for on a physically implementable solution and identify the need for finite and discrete information, relativity in respect to universal scales of reference and logical consistency of the global information potential. We conjecture the possible emergence of an imaginary spacetime as a holographic boundary between 2 symmetric bulk regions extending in the thick present and evolving synched on a discrete cycle (identified as an elementary quantum of action and connected to a spacetime sampling-rate). We then investigate how the information of a single particle could be described in the model through an analysis of scale of the information of non-locality in the spacelike foliation. Finally, we propose how the information potential could be intended and efficiently encoded through a wavelet analysis (log-perspective) and elaborate on the “features” (such as spin or anti-matter) derived from the symmetries in the model

A SHORT REVIEW ON BINOMIAL DISTRIBUTION

This is a speculation of binomial appropriation with n and two additional boundaries and there is no supposition in regards to the autonomy and furthermore steady likelihood of preliminaries that have been presented. The likelihood of a triumph during a preliminary is constantly considered as a straight capacity of all the past number of victories. The dissemination for the equivalent has been found to give nearer results to a wide range of discrete information or datasets. The Consul and Jain’s (1973) summed up Poisson conveyance as the restricting case for something similar. The end or general mean of this dissemination has been found and its conduct with the changing upsides of the boundaries is analyzed and examined.

Methods of reception and synchronization of signals of automatic cab signalling

The article discusses the problems of existing methods of receiving automatic cab signalling on railway transport, an original method of receiving and processing data is proposed. The need to solve the problems is due to the requirement of a qualitative improvement in the reliability of receiving codes, and as a consequence, the capacity of existing lines. First of all, this refers to a significant increase in the quality of reception and processing of information flows from rail lines. Today it is difficult to imagine the organization of the movement of rolling stock without relying on automatic block systems with secondary sealing of tonal track circuits by frequency modulation signals or automatic cab signaling without the use of multivalued automatic cab signaling with phase-difference modulation. Taking into account the objective fact of noise emission from the operation of energy-intensive railway equipment and modern locomotives, the issues of reliability and noise immunity of receiving discrete information (including signals of traditional automatic cab signaling) are becoming more and more urgent. Analysis of the reasons for the decrease in the reliability and noise immunity of railway automation and telemechanics systems, and, consequently, traffic safety also comes to the fore.

Directions of Research Activities of Postgraduate Students on the Topic «Information Discrete Filtering»

The article discusses the possible directions of research activities of postgraduate students in the field of discrete information filtering. The article provides the formulations and derivation of Kalman filtering algorithms in information form, an overview of their potential applications, and tasks for an independent solution. The material of the article can be used by first-year-postgraduate students in the relevant areas when determining the topics of thesis research.

Extensional constructive real analysis via locators

Real numbers do not admit an extensional procedure for observing discrete information, such as the first digit of its decimal expansion, because every extensional, computable map from the reals to the integers is constant, as is well known. We overcome this by considering real numbers equipped with additional structure, which we call a locator. With this structure, it is possible, for instance, to construct a signed-digit representation or a Cauchy sequence, and conversely, these intensional representations give rise to a locator. Although the constructions are reminiscent of computable analysis, instead of working with a notion of computability, we simply work constructively to extract observable information, and instead of working with representations, we consider a certain locatedness structure on real numbers.