scholarly journals Wavelet Thresholding Risk Estimate for the Model with Random Samples and Correlated Noise

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 377 ◽  
Author(s):  
Oleg Shestakov

Signal de-noising methods based on threshold processing of wavelet decomposition coefficients have become popular due to their simplicity, speed, and ability to adapt to signal functions with spatially inhomogeneous smoothness. The analysis of the errors of these methods is an important practical task, since it makes it possible to evaluate the quality of both methods and equipment used for processing. Sometimes the nature of the signal is such that its samples are recorded at random times. If the sample points form a variational series based on a sample from the uniform distribution on the data registration interval, then the use of the standard threshold processing procedure is adequate. The paper considers a model of a signal that is registered at random times and contains noise with long-term dependence. The asymptotic normality and strong consistency properties of the mean-square thresholding risk estimator are proved. The obtained results make it possible to construct asymptotic confidence intervals for threshold processing errors using only the observed data.


2005 ◽  
Vol 37 (4) ◽  
pp. 1116-1146 ◽  
Author(s):  
Pierre Brémaud ◽  
Laurent Massoulié ◽  
Andrea Ridolfi

In this article, we review known results and present new ones concerning the power spectra of large classes of signals and random fields driven by an underlying point process, such as spatial shot noises (with random impulse response and arbitrary basic stationary point processes described by their Bartlett spectra) and signals or fields sampled at random times or points (where the sampling point process is again quite general). We also obtain the Bartlett spectrum for the general linear Hawkes spatial branching point process (with random fertility rate and general immigrant process described by its Bartlett spectrum). We then obtain the Bochner spectra of general spatial linear birth and death processes. Finally, we address the issues of random sampling and linear reconstruction of a signal from its random samples, reviewing and extending former results.



2005 ◽  
Vol 05 (02) ◽  
pp. L243-L250 ◽  
Author(s):  
O. CHICHIGINA ◽  
D. VALENTI ◽  
B. SPAGNOLO

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i.e. the noise memory, produces different kinds of correlated noise ranging from white noise, without delay, to quasi-periodical process, with delay close to the average period of the pulses. The spectral density is calculated. This type of noise could be useful to describe physical and biological systems where some delay is present. In particular it could be useful in population dynamics. A simple dynamical model for epidemiological infection with this noise source is presented. We find that the time behavior of the illness depends on the noise parameters. Specifically the amplitude and the memory of the noise affect the number of infected people.



2005 ◽  
Vol 37 (04) ◽  
pp. 1116-1146 ◽  
Author(s):  
Pierre Brémaud ◽  
Laurent Massoulié ◽  
Andrea Ridolfi

In this article, we review known results and present new ones concerning the power spectra of large classes of signals and random fields driven by an underlying point process, such as spatial shot noises (with random impulse response and arbitrary basic stationary point processes described by their Bartlett spectra) and signals or fields sampled at random times or points (where the sampling point process is again quite general). We also obtain the Bartlett spectrum for the general linear Hawkes spatial branching point process (with random fertility rate and general immigrant process described by its Bartlett spectrum). We then obtain the Bochner spectra of general spatial linear birth and death processes. Finally, we address the issues of random sampling and linear reconstruction of a signal from its random samples, reviewing and extending former results.



1976 ◽  
Vol 36 (01) ◽  
pp. 071-077 ◽  
Author(s):  
Daniel E. Whitman ◽  
Mary Ellen Switzer ◽  
Patrick A. McKee

SummaryThe availability of factor VIII concentrates is frequently a limitation in the management of classical hemophilia. Such concentrates are prepared from fresh or fresh-frozen plasma. A significant volume of plasma in the United States becomes “indated”, i. e., in contact with red blood cells for 24 hours at 4°, and is therefore not used to prepare factor VIII concentrates. To evaluate this possible resource, partially purified factor VIII was prepared from random samples of fresh-frozen, indated and outdated plasma. The yield of factor VIII protein and procoagulant activity from indated plasma was about the same as that from fresh-frozen plasma. The yield from outdated plasma was substantially less. After further purification, factor VIII from the three sources gave a single subunit band when reduced and analyzed by sodium dodecyl sulfate polyacrylamide gel electrophoresis. These results indicate that the approximately 287,000 liters of indated plasma processed annually by the American National Red Cross (ANRC) could be used to prepare factor VIII concentrates of good quality. This resource alone could quadruple the supply of factor VIII available for therapy.



Author(s):  
Myroslav Kosіak ◽  
Inna Kosіak

The purpose of the article. The article considers the Blockchain technology asan innovative tool. In particular, the essence and background of the developmentof blocks, the principles and specifics of the functioning of the system, as well asthe scheme of its work, are determined. The article presents the prospects forusingdistributed registry technologies (blockchain) in various socioeconomic spheresrelated to state administration. Provided examples and forecasts of the use ofblockchain technologies in the provision of state and municipal services forindividuals and legal entities in the following areas: formation of a unified registercontaining the history of the placement of the state, municipal order, as well asprocurement of corporations with state participation and / or control; registers ofdocuments (diplomas, certificates, lost and disavowed passports, policies for movableand immovable property insurance, health, etc.); database of court decisions andexecutive proceedings; public participation portals for citizens of Ukraine district- city – country. The fact that the blockchain technology is, first of all, theprinciples, and not the only possible way of implementing them, allows us to counton maximum openness and multivariate application in a dynamically changingchanging«digital world». Methodology. The research methodology is to use a combinationof methods: analytical, historical, comparative. The scientific novelty. The priorityof state blockchain systems introduction in stationary and distant voting, distributeddocument circulation, medical data registration, land resources registration,electronic auctions (auctions) in Ukraine was grounded. Conclusions. Already today,blockchain systems can change the role and participation of citizens in the conductof the state-management process, by raising the responsibility level, from thetransparent will expression in the elections to regulating the government serviceactivity in the society’s digitization conditions. The main advantages blockchainsystems using by public authorities that will increase the level of citizens trust todigital technologies using in general, namely: reliability and reliability of datastorage, transparency of transactions and virtually absolute protection of informationfrom distortion and unauthorized removal (relocation), are determined. In furtherscientific research it is proposed to consider the promising areas of the blockchaindigital technology usage: service activities of public authorities, legal proceedings,property rights management, implementation of migration control, verification ofgoods and services, registration of data on passing qualifying tests, patenting,intellectual property, digital identification, logistics , taxation, accounting ofbudget funds movement.



Author(s):  
Hongying LIU ◽  
Xin JIN ◽  
Yukiyasu TSUNOO ◽  
Satoshi GOTO


2014 ◽  
Vol 73 (6) ◽  
pp. 511-527 ◽  
Author(s):  
V.V. Abramova ◽  
S. K. Abramov ◽  
V. V. Lukin ◽  
A. A. Roenko ◽  
Benoit Vozel


Author(s):  
Franco Stellari ◽  
Peilin Song

Abstract In this paper, the development of advanced emission data analysis methodologies for IC debugging and characterization is discussed. Techniques for automated layout to emission registration and data segmentations are proposed and demonstrated using both 22 nm and 14 nm SOI test chips. In particular, gate level registration accuracy is leveraged to compare the emission of different types of gates and quickly create variability maps automatically.



2010 ◽  
Vol 21 (6) ◽  
pp. 1438-1450 ◽  
Author(s):  
Shen YANG ◽  
Yue QI ◽  
Xu-Kun SHEN ◽  
Qin-Ping ZHAO


1986 ◽  
Author(s):  
R. K. Getoor ◽  
Joseph Glover


Sign in / Sign up

Export Citation Format

Share Document