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Keywords = Cramer’s rule

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45 pages, 4295 KiB  
Review
Recent Trends and Challenges on the Non-Targeted Analysis and Risk Assessment of Migrant Non-Intentionally Added Substances from Plastic Food Contact Materials
by Pablo Miralles, Esther Fuentes-Ferragud, Cristina Socas-Hernández and Clara Coscollà
Toxics 2025, 13(7), 543; https://doi.org/10.3390/toxics13070543 - 28 Jun 2025
Viewed by 585
Abstract
Non-intentionally added substances (NIAS) in plastic food contact materials represent a critical undercharacterized chemical safety concern, caused by their inherent diversity, potential toxicity, and regulatory challenges. This review synthesizes recent advances and persistent gaps in NIAS analysis, with a primary focus on analytical [...] Read more.
Non-intentionally added substances (NIAS) in plastic food contact materials represent a critical undercharacterized chemical safety concern, caused by their inherent diversity, potential toxicity, and regulatory challenges. This review synthesizes recent advances and persistent gaps in NIAS analysis, with a primary focus on analytical workflows for non-targeted analysis, alongside a consideration of risk assessment and toxicological prioritization frameworks. Conventional plastics (e.g., polyethylene, polypropylene, or polyethylene terephthalate) as well as emerging materials (e.g., bioplastics and recycled polymers) exhibit different NIAS profiles, including oligomers, degradation products, additives, and contaminants, requiring specific approaches for migration testing, extraction, and detection. Advanced techniques, such as ultra-high-performance liquid chromatography or two-dimensional gas chromatography coupled with high-resolution mass spectrometry, have enabled non-targeted analysis approaches. However, the field remains constrained by spectral library gaps, limited reference standards, and inconsistent data processing protocols, resulting in heavy reliance on tentative identifications. Risk assessment procedures mainly employ the Threshold of Toxicological Concern and classification by Cramer’s rules. Nevertheless, addressing genotoxicity, mixture effects, and novel hazards from recycled or bio-based polymers remains challenging with these approaches. Future priorities and efforts may include expanding spectral databases, harmonizing analytical protocols, and integrating in vitro bioassays with computational toxicology to refine hazard characterization. Full article
(This article belongs to the Section Agrochemicals and Food Toxicology)
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29 pages, 897 KiB  
Article
Identification of Potential Migrants in Food Contact Materials Labeled as Bio-Based and/or Biodegradable by GC-MS
by Emma López Sanvicente, Letricia Barbosa-Pereira, Raquel Sendón, Ana Rodríguez Bernaldo de Quirós and Antía Lestido-Cardama
Coatings 2025, 15(7), 751; https://doi.org/10.3390/coatings15070751 - 25 Jun 2025
Viewed by 606
Abstract
Bio-based and/or biodegradable food contact materials are being developed as alternatives to conventional petroleum-based materials. Like other food contact materials, these are subject to regulatory requirements. The characterization of these biomaterials enables the identification of chemical substances that could potentially migrate from these [...] Read more.
Bio-based and/or biodegradable food contact materials are being developed as alternatives to conventional petroleum-based materials. Like other food contact materials, these are subject to regulatory requirements. The characterization of these biomaterials enables the identification of chemical substances that could potentially migrate from these materials into food and may pose a risk to consumer health. In this work, commercial samples of food contact materials labeled as bio-based and/or biodegradable were analyzed. To tentatively identify compounds, two analytical methods were optimized: purge and trap (P&T) for volatile compounds and methanolic extract injection for the determination of semi-volatile compounds, both using gas chromatography coupled with mass spectrometry (GC-MS). Compound toxicity was estimated using an in silico methodology, namely Cramer’s rules. More than 200 compounds of different natures were tentatively identified, but only 29 are included in Regulation (EU) 10/2011 on plastic materials intended to come into contact with food, and 38 of them were classified as high-toxicity compounds. Full article
(This article belongs to the Special Issue Bio-Based and Biodegradable Packaging Materials for Food Contact)
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22 pages, 350 KiB  
Article
The Right–Left WG Inverse Solutions to Quaternion Matrix Equations
by Ivan Kyrchei, Dijana Mosić and Predrag Stanimirović
Symmetry 2025, 17(1), 38; https://doi.org/10.3390/sym17010038 - 28 Dec 2024
Viewed by 615
Abstract
This paper studies new characterizations and expressions of the weak group (WG) inverse and its dual over the quaternion skew field. We introduce a dual to the weak group inverse for the first time in the literature and give some new characterizations for [...] Read more.
This paper studies new characterizations and expressions of the weak group (WG) inverse and its dual over the quaternion skew field. We introduce a dual to the weak group inverse for the first time in the literature and give some new characterizations for both the WG inverse and its dual, named the right and left weak group inverses for quaternion matrices. In particular, determinantal representations of the right and left WG inverses are given as direct methods for their constructions. Our other results are related to solving the two-sided constrained quaternion matrix equation AXB=C and the according approximation problem that could be expressed in terms of the right and left WG inverse solutions. Within the framework of the theory of noncommutative row–column determinants, we derive Cramer’s rules for computing these solutions based on determinantal representations of the right and left WG inverses. A numerical example is given to illustrate the gained results. Full article
(This article belongs to the Special Issue Exploring Symmetry in Dual Quaternion Matrices and Matrix Equations)
22 pages, 1619 KiB  
Article
Optimisation of the Transmitter Layout in a VLP System Using an Aperture-Based Receiver
by José Miguel Menéndez and Heidi Steendam
Photonics 2024, 11(6), 517; https://doi.org/10.3390/photonics11060517 - 28 May 2024
Cited by 1 | Viewed by 1256
Abstract
In this paper, we consider a visible light positioning (VLP) system, where an array of photo diodes combined with apertures is used as a directional receiver and a set of inexpensive and energy-efficient light-emitting diodes (LEDs) is used as transmitters. The paper focuses [...] Read more.
In this paper, we consider a visible light positioning (VLP) system, where an array of photo diodes combined with apertures is used as a directional receiver and a set of inexpensive and energy-efficient light-emitting diodes (LEDs) is used as transmitters. The paper focuses on the optimisation of the layout of the transmitter, i.e., the number and placement of the LEDs, to meet the wanted position estimation accuracy levels. To this end, we evaluate the Cramer–Rao bound (CRB), which is a lower bound on the mean-squared error (MSE) of the position estimate, to analyse the influence of the LEDs’ placement. In contrast to other works, where only the location of the LEDs was considered and/or the optimisation was carried out through simulations, in this work, the optimisation is carried out analytically and considers all the parameters involved in the VLP system as well as the illumination. Based on our results, we formulate simple rules of thumb with which we can determine the spacing between LEDs and the minimum number of LEDs, as well as their position on the ceiling, while also taking into account the requirements for the illumination. Full article
(This article belongs to the Special Issue Advanced Technologies in Optical Wireless Communications)
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22 pages, 5276 KiB  
Article
Analysis of Fatal Construction Accidents in Indonesia—A Case Study
by Theresia Avila Bria, Wei Tong Chen, Mubasher Muhammad and Melati Balla Rantelembang
Buildings 2024, 14(4), 1010; https://doi.org/10.3390/buildings14041010 - 5 Apr 2024
Cited by 8 | Viewed by 6014
Abstract
Booming demand for facilities and infrastructure in Indonesia has led to an increase in construction-related accidents. Court rulings provide valuable data on accident circumstances, which can help improve safety standards. Although information on these accidents is scarce and not systematically consolidated, effective data [...] Read more.
Booming demand for facilities and infrastructure in Indonesia has led to an increase in construction-related accidents. Court rulings provide valuable data on accident circumstances, which can help improve safety standards. Although information on these accidents is scarce and not systematically consolidated, effective data gathering and analysis can lead to better safety outcomes. This study analyzes 150 court rulings in construction industry accident cases and their related decision frameworks to identify seven risk categories using scenario analysis. The correlative patterns and their associated significance are explored via descriptive statistical analysis, and four categories, namely project, task, accident, and medium, were found to be correlated. The results of the cross-tabulation test between two categories were used to highlight correlated categories. Toll road works accounted for 52% of accident cases, with collisions with construction machinery being the most frequent accident type (36%, 76 cases). Lifting and moving goods had respective phi and Cramer values of 0.534 and 0.001. It is obvious that future safety improvement efforts should focus on roadway projects and utilizing construction vehicles for transportation and lifting work. This can be achieved through increased regulatory compliance, proper utilization of standard operating procedures (SOPs), and ensuring vehicle suitability. The results of this study are highly relevant to workplace health and safety officers and risk management personnel. Full article
(This article belongs to the Special Issue Inclusion, Safety, and Resilience in the Construction Industry)
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12 pages, 768 KiB  
Article
Indoor Air Quality and Bioaerosols in Spanish University Classrooms
by Esther Fuentes-Ferragud, Antonio López, Juan Miguel Piera, Vicent Yusà, Salvador Garrigues, Miguel de la Guardia, F. Xavier López Labrador, Marisa Camaró, María Ibáñez and Clara Coscollà
Toxics 2024, 12(3), 227; https://doi.org/10.3390/toxics12030227 - 20 Mar 2024
Cited by 7 | Viewed by 2829
Abstract
A comprehensive study assessed indoor air quality parameters, focusing on relevant air pollutants such as particulate matter (PM10 and PM2.5), gaseous compounds (CO, CO2, formaldehyde, NO2) and volatile/semi-volatile organic chemicals, as well as respiratory viruses (including [...] Read more.
A comprehensive study assessed indoor air quality parameters, focusing on relevant air pollutants such as particulate matter (PM10 and PM2.5), gaseous compounds (CO, CO2, formaldehyde, NO2) and volatile/semi-volatile organic chemicals, as well as respiratory viruses (including SARS-CoV-2), fungi and bacteria in Spanish university classrooms. Non-target screening strategies evaluated the presence of organic pollutants inside and outside the classrooms. Saliva samples from teachers and students were collected to explore correlations between respiratory viruses in the air and biological samples. Indoor results revealed the punctual exceedance of recommended guidelines for CO2, formaldehyde (HCHO), volatile organic compounds (TVOCs) and PM in the least naturally ventilated classrooms. Significant differences occurred between the classes, with the least ventilated one showing higher average concentrations of CO2, HCHO, NO2, PM10 and PM2.5. A respiratory virus (rhinovirus/enterovirus) was detected in the medium naturally ventilated classroom, although saliva samples tested negative. Suspect screening tentatively identified 65 substances indoors and over 200 outdoors, with approximately half reporting a high toxicological risk based on the Cramer rules. The study provides a comprehensive overview of indoor air quality, respiratory viruses and organic pollutants in university classrooms, highlighting the variations and potential health risks associated with ventilation differences. Full article
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12 pages, 1417 KiB  
Article
Migration of Dihydroxy Alkylamines and Their Possible Impurities from Packaging into Foods and Food Simulants: Analysis and Safety Evaluation
by Antía Lestido-Cardama, Letricia Barbosa-Pereira, Raquel Sendón, Perfecto Paseiro Losada and Ana Rodríguez Bernaldo de Quirós
Polymers 2023, 15(12), 2656; https://doi.org/10.3390/polym15122656 - 12 Jun 2023
Cited by 2 | Viewed by 2040
Abstract
Alkyl diethanolamines are a group of compounds commonly used as antistatic agents in plastic food packaging materials. These additives and their possible impurities have the ability to transfer into the food; hence, the consumer may be exposed to these chemicals. Recently, scientific evidence [...] Read more.
Alkyl diethanolamines are a group of compounds commonly used as antistatic agents in plastic food packaging materials. These additives and their possible impurities have the ability to transfer into the food; hence, the consumer may be exposed to these chemicals. Recently, scientific evidence of unknown adverse effects associated with these compounds was reported. N,N-bis(2-hydroxyethyl)alkyl (C8-C18) amines as well as other related compounds and their possible impurities were analyzed in different plastic packaging materials and coffee capsules using target and non-target LC-MS methods. N,N-bis(2-hydroxyethyl)alkyl amines, precisely, C12, C13, C14, C15, C16, C17 and C18, 2-(octadecylamino)ethanol and octadecylamine, among others, were identified in most of the analyzed samples. It should be emphasized that the latter compounds are not listed in the European Regulation 10/2011 and 2-(octadecylamino)ethanol was classified as high toxicity according to Cramer rules. Migration tests were carried out in foods and in the food simulants Tenax and 20% ethanol (v/v). The results showed that stearyldiethanolamine migrated into the tomato, salty biscuits, salad and Tenax. Lastly, as a crucial step in the risk assessment process, the dietary exposure to stearyldiethanolamine transferred from the food packaging into the food was determined. The estimated values ranged from 0.0005 to 0.0026 µg/kg bw/day. Full article
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10 pages, 2287 KiB  
Article
Hellinger Information Matrix and Hellinger Priors
by Arkady Shemyakin
Entropy 2023, 25(2), 344; https://doi.org/10.3390/e25020344 - 13 Feb 2023
Cited by 2 | Viewed by 1623
Abstract
Hellinger information as a local characteristic of parametric distribution families was first introduced in 2011. It is related to the much older concept of the Hellinger distance between two points in a parametric set. Under certain regularity conditions, the local behavior of the [...] Read more.
Hellinger information as a local characteristic of parametric distribution families was first introduced in 2011. It is related to the much older concept of the Hellinger distance between two points in a parametric set. Under certain regularity conditions, the local behavior of the Hellinger distance is closely connected to Fisher information and the geometry of Riemann manifolds. Nonregular distributions (non-differentiable distribution densities, undefined Fisher information or denisities with support depending on the parameter), including uniform, require using analogues or extensions of Fisher information. Hellinger information may serve to construct information inequalities of the Cramer–Rao type, extending the lower bounds of the Bayes risk to the nonregular case. A construction of non-informative priors based on Hellinger information was also suggested by the author in 2011. Hellinger priors extend the Jeffreys rule to nonregular cases. For many examples, they are identical or close to the reference priors or probability matching priors. Most of the paper was dedicated to the one-dimensional case, but the matrix definition of Hellinger information was also introduced for higher dimensions. Conditions of existence and the nonnegative definite property of Hellinger information matrix were not discussed. Hellinger information for the vector parameter was applied by Yin et al. to problems of optimal experimental design. A special class of parametric problems was considered, requiring the directional definition of Hellinger information, but not a full construction of Hellinger information matrix. In the present paper, a general definition, the existence and nonnegative definite property of Hellinger information matrix is considered for nonregular settings. Full article
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16 pages, 2568 KiB  
Article
Elucidation of Non-Intentionally Added Substances from Plant Fiber/Plastic Composites by UPLC-QTOF/MS
by Hong Zhang, Qi-Zhi Su, Gui-Qin Shang, Yun-Xuan Weng and Lei Zhu
Foods 2023, 12(3), 678; https://doi.org/10.3390/foods12030678 - 3 Feb 2023
Cited by 6 | Viewed by 2939
Abstract
Plant fiber/plastic composites (PPCs) have been widely used in food contact materials (FCMs) for many benefits, such as their claimed better environmental footprint compared to conventional plastics. However, their safety is still not fully understood and must be comprehensively evaluated. Non-volatiles extracted from [...] Read more.
Plant fiber/plastic composites (PPCs) have been widely used in food contact materials (FCMs) for many benefits, such as their claimed better environmental footprint compared to conventional plastics. However, their safety is still not fully understood and must be comprehensively evaluated. Non-volatiles extracted from six PPCs with different plant fibers and polymer matrices were characterized by employing ultra-high-performance liquid chromatography coupled to quadrupole time-of-flight mass spectrometry in combination with various spectral libraries and manual elucidation, taking into account spectral similarity and characteristic product ions. A total of 115 compounds were tentatively identified, 50 of which were oligomers or their derivatives from the sample with polylactic acid (PLA) and polybutylene adipate terephthalate (PBAT) as the polymer matrix, and some of them were Cramer rules class III substances based on the threshold of toxicological concern (TTC). Seven reaction products between PLA and PBAT monomers, as well as four derivatives of melamine, were elucidated and well detailed for the first time. In addition, bisphenol S was detected in all samples even though its origin remains to be further explored. Isoprothiolane, as an insecticide and fungicide used to control a range of rice pests, was identified in the sample with rice husk as fillers, experimentally confirming the presence of agrochemicals in samples containing plant fibers. Full article
(This article belongs to the Special Issue Advanced Packaging Materials for Food Safety, Storage and Transport)
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23 pages, 1038 KiB  
Article
Passive Joint Emitter Localization with Sensor Self-Calibration
by Guangbin Zhang, Hengyan Liu, Wei Dai, Tianyao Huang, Yimin Liu and Xiqin Wang
Remote Sens. 2023, 15(3), 671; https://doi.org/10.3390/rs15030671 - 23 Jan 2023
Cited by 7 | Viewed by 2220
Abstract
This paper studies the problem surrounding distributed passive arrays (sensors) locating multiple emitters while performing self-calibration to correct possible errors in the assumed array directions. In our setting, only the angle-of-arrival (AoA) information is available for localization. However, such information may contain bias [...] Read more.
This paper studies the problem surrounding distributed passive arrays (sensors) locating multiple emitters while performing self-calibration to correct possible errors in the assumed array directions. In our setting, only the angle-of-arrival (AoA) information is available for localization. However, such information may contain bias due to array directional errors. Hence, localization requires self-calibration. To achieve both, the key element behind our approach is that the received signals from the same emitter should be geometrically consistent if sensor arrays are successfully calibrated. This leads to our signal model, which is built on a mapping directly from emitter locations and array directional errors to received signals. Then we formulate an atomic norm minimization and use group sparsity to promote geometric consistency and align ‘ghost’ emitter locations from calibration errors. Simulations verify the effectiveness of the proposed scheme. We derive the Cramér Rao lower bound and numerically compare it to the simulations. Furthermore, we derive a necessary condition as a rule of thumb to decide the feasibility of joint localization and calibration. Full article
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20 pages, 846 KiB  
Article
Does Crowdsourcing as Part of User-Driven Innovation Activity Affect Its Results? An Empirical Analysis of R&D Departments in Poland
by Katarzyna Szopik-Depczyńska, Izabela Dembińska, Agnieszka Barczak, Angelika Kędzierska-Szczepaniak, Krzysztof Szczepaniak, Radosław Depczyński and Giuseppe Ioppolo
Energies 2021, 14(18), 5809; https://doi.org/10.3390/en14185809 - 14 Sep 2021
Cited by 10 | Viewed by 2536
Abstract
Entrepreneurs have long been convinced about the power and possibilities of the Internet. Nowadays, the Internet is an integral tool for the functioning of a company, not only as an alternative distribution channel, but also as a channel of information and communication flow, [...] Read more.
Entrepreneurs have long been convinced about the power and possibilities of the Internet. Nowadays, the Internet is an integral tool for the functioning of a company, not only as an alternative distribution channel, but also as a channel of information and communication flow, a means of interaction with the environment. The increasing use of the Internet, and especially of social media, made it possible to escalate the activity of various social groups in various areas of the company’s activity, including innovation, leading to the development of crowdsourcing. Crowdsourcing has redefined the existing production rules and ways of using labor resources. Its potential lies in openness, partnership, resource sharing and global action. There are already many studies on crowdsourcing and innovation, but little attention is paid to the relationship between crowdsourcing and the determinants of innovation activity. Thus, the aim of this research is examining whether the use of crowdsourcing while cooperating with product users in accordance with the concept of user-driven innovation (UDI) has an impact on selected aspects of innovative activity. An original questionnaire was used for the study. Fifty-seven R&D departments in Poland participated in the research. For the purpose of the analysis, the Kendall and V-Cramer tau correlation coefficient was used. These methods are complemented by the Ward agglomeration method. The research results show a cooperation with consumer results in the development of innovative activities in the studied R&D departments of enterprises in Poland. Using crowdsourcing results in the introduction of more product innovations, the introduction of new or significantly improved technological processes, as well as the implementation of a greater number of research and development projects. Full article
(This article belongs to the Special Issue Technology Innovation in Economics and Economy Policy)
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18 pages, 3463 KiB  
Article
Opinion of the Hungarian Population on the Reform of Beverage Packaging Deposit-Refund System
by Anita Boros, Róbert Kurdi, Zoltán Pál Lukács, Attila Sarkady and Zsuzsanna Banász
Sustainability 2021, 13(11), 6373; https://doi.org/10.3390/su13116373 - 3 Jun 2021
Cited by 8 | Viewed by 3932
Abstract
The research subject is the deposit-refund system of beverage packaging (PET, glass and aluminium) in Hungary, which is under development. For the success of the planned system, it is important to consider the population’s opinion. Therefore, data from a primary questionnaire survey were [...] Read more.
The research subject is the deposit-refund system of beverage packaging (PET, glass and aluminium) in Hungary, which is under development. For the success of the planned system, it is important to consider the population’s opinion. Therefore, data from a primary questionnaire survey were used for the analyses. This questionnaire was conducted in 2020 and resulted in an evaluable sample of 20,430 people. The study aims to answer the following research questions (Q). Q1. Does the reform of the beverage packaging deposit-refund system in Hungary have a raison d’être? Q2. What are the demographic characteristics (gender, type of residence, qualification) of those who would redeem beverage packaging in their households if the state paid for it? Q3. Do the demographic characteristics and/or the environmental attitudes of individuals significantly influence their perceptions of the planned new system, and how strong is the relationship between them? As for the method for answering the research questions, descriptive statistics and relationship analyses (Cramer’s V and Kendall’s tau) were applied to the closed answers. The results show that the analysis of the primary research provides well-determined directions for legislators and decision makers who develop the detailed operating rules of the new system. Full article
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16 pages, 381 KiB  
Article
The Cramer—Rao Inequality to Improve the Resolution of the Least-Squares Method in Track Fitting
by Gregorio Landi and Giovanni E. Landi
Instruments 2020, 4(1), 2; https://doi.org/10.3390/instruments4010002 - 4 Jan 2020
Cited by 5 | Viewed by 4248
Abstract
The Cramer–Rao–Frechet inequality is reviewed and extended to track fitting. A diffused opinion attributes to this inequality the limitation of the resolution of the track fits with the number N of observations. It will be shown that this opinion is incorrect, the weighted [...] Read more.
The Cramer–Rao–Frechet inequality is reviewed and extended to track fitting. A diffused opinion attributes to this inequality the limitation of the resolution of the track fits with the number N of observations. It will be shown that this opinion is incorrect, the weighted least squares method is not subjected to that N-limitation and the resolution can be improved beyond those limits. In previous publications, simulations with realistic models and simple Gaussian models produced interesting results: linear growths of the peaks of the distributions of the fitted parameters with the number N of observations, much faster than the N of the standard least-squares. These results could be considered a violation of a well-known 1 / N -rule for the variance of an unbiased estimator, frequently reported as the Cramer–Rao–Frechet bound. To clarify this point beyond any doubt, a direct proof of the consistency of those results with this inequality would be essential. Unfortunately, such proof is lacking. Hence, the Cramer–Rao–Frechet developments are applied to prove the efficiency (optimality) of the simple Gaussian model and the consistency of the linear growth. The inequality remains valid even for irregular models supporting the similar improvement of resolution for the realistic models. Full article
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19 pages, 473 KiB  
Article
Converging Cylindrical Symmetric Shock Waves in a Real Medium with a Magnetic Field
by Munesh Devi, Rajan Arora, Mustafa M. Rahman and Mohd Junaid Siddiqui
Symmetry 2019, 11(9), 1177; https://doi.org/10.3390/sym11091177 - 17 Sep 2019
Cited by 7 | Viewed by 2967
Abstract
The topic “converging shock waves” is quite useful in Inertial Confinement Fusion (ICF). Most of the earlier studies have assumed that the medium of propagation is ideal. However, due to very high temperature at the axis of convergence, the effect of medium on [...] Read more.
The topic “converging shock waves” is quite useful in Inertial Confinement Fusion (ICF). Most of the earlier studies have assumed that the medium of propagation is ideal. However, due to very high temperature at the axis of convergence, the effect of medium on shock waves should be taken in account. We have considered a problem of propagation of cylindrical shock waves in real medium. Magnetic field has been assumed in axial direction. It has been assumed that electrical resistance is zero. The problem can be represented by a system of hyperbolic Partial Differential Equations (PDEs) with jump conditions at the shock as the boundary conditions. The Lie group theoretic method has been used to find solutions to the problem. Lie’s symmetric method is quite useful as it reduces one-dimensional flow represented by a system of hyperbolic PDEs to a system of Ordinary Differential Equations (ODEs) by means of a similarity variable. Infinitesimal generators of Lie’s group transformation have been obtained by invariant conditions of the governing and boundary conditions. These generators involves arbitrary constants that give rise to different possible cases. One of the cases has been discussed in detail by writing reduced system of ODEs in matrix form. Cramer’s rule has been used to find the solution of system in matrix form. The results are presented in terms of figures for different values of parameters. The effect of non-ideal medium on the flow has been studied. Guderley’s rule is used to compute similarity exponents for cylindrical shock waves, in gasdynamics and in magnetogasdynamics (ideal medium), in order to set up a comparison with the published work. The computed values are very close to the values in published articles. Full article
(This article belongs to the Special Issue Matrices and Symmetry)
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18 pages, 597 KiB  
Article
Aspect-Aware Target Detection and Localization by Wireless Sensor Networks
by Li Hu, Shilian Wang and Eryang Zhang
Sensors 2018, 18(9), 2810; https://doi.org/10.3390/s18092810 - 25 Aug 2018
Cited by 4 | Viewed by 2517
Abstract
This paper considers the active detection of a stealth target with aspect dependent reflection (e.g., submarine, aircraft, etc.) using wireless sensor networks (WSNs). When the target is detected, its localization is also of interest. Due to stringent bandwidth and energy constraints, sensor observations [...] Read more.
This paper considers the active detection of a stealth target with aspect dependent reflection (e.g., submarine, aircraft, etc.) using wireless sensor networks (WSNs). When the target is detected, its localization is also of interest. Due to stringent bandwidth and energy constraints, sensor observations are quantized into few-bit data individually and then transmitted to a fusion center (FC), where a generalized likelihood ratio test (GLRT) detector is employed to achieve target detection and maximum likelihood estimation of the target location simultaneously. In this context, we first develop a GLRT detector using one-bit quantized data which is shown to outperform the typical counting rule and the detection scheme based on the scan statistic. We further propose a GLRT detector based on adaptive multi-bit quantization, where the sensor observations are more precisely quantized, and the quantized data can be efficiently transmitted to the FC. The Cramer-Rao lower bound (CRLB) of the estimate of target location is also derived for the GLRT detector. The simulation results show that the proposed GLRT detector with adaptive 2-bit quantization achieves much better performance than the GLRT based on one-bit quantization, at the cost of only a minor increase in communication overhead. Full article
(This article belongs to the Section Sensor Networks)
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