Abstract
Traditionally, the binary search method is used to collect the denoising data in the array pixilated CdZnTe nuclear detector. Due to the high dispersion of the data itself, the acquisition efficiency is low and the acquisition result has a large error. A denoising data acquisition algorithm for array pixilated CdZnTe nuclear detector is proposed. The detector principle and system noise type are analyzed. The buffer half-full storage algorithm and multi-thread control method are used to collect the noise data of array pixilated CdZnTe nuclear detector. The experimental data show that the proposed algorithm can effectively collect the denoising data of the array pixilated CdZnTe nuclear detector, and the acquisition error rate is only 0.25, the acquisition speed growth rate is up to 96%, with high acquisition accuracy and efficiency.
1 Introduction
High-energy ray energy spectrum detection and imaging detection technology are the key technology in the fields of atomic energy science, space science, materials science and biomedical science. It has important applications in nuclear energy utilization, radiation protection, nuclear safety testing, etc. [1]. Since the signing of the CTBTO, passive and portable nuclear safety testing in current international cooperation and exchange is an important research area of national defense security, and high-performance radiation detection technology is urgently needed. CdZnTe, a new material for room temperature semiconductor radiation detectors with excellent performance, has attracted widespread attention in the field of nuclear radiation detection at home and abroad [2]. The CdZnTe radiation detector made of CdZnTe material is a new generation of nuclear radiation detector after Nal, Csl and HPGe detectors. It has broad prospects and plays an important role in the research fields of high energy nuclear physics, heavy ion physics, atomic physics, astrophysics and so on [3]. Compared with the conventional planar electrode CdZnTe detector, the CdZnTe detector with unipolar sensitivity has a higher detection efficiency and energy resolution. The surface pixelated array CdZnTe crystal can be prepared into a nuclear radiation imaging detector with multi-purpose, wide-spectrum, passive three-dimensional position sensitivity. It has important applications in nuclear radiation detection and nuclear safety as well as nondestructive testing and nuclear medicine imaging. Many researchers have studied the meta-pixel array CdZnTe detector [4]. Wojenski et al. [5] proposed a signal acquisition method of SXR spectroscopy system gemstone detector based on FPGA, but it was only suitable for neutron radiation, strong electromagnetic fields and other environments, with certain limitations. Tuoriniemi et al. [6] proposed a new algorithm for peak identification, which was used to quickly resolve single particles in data. It was difficult to collect ultra-fine nanoparticles during acquisition, resulting in low acquisition accuracy. Cheong et al. [7] used the binary search method for data acquisition. The acquisition efficiency was low due to the high dispersion of the data itself. In this paper, the denoising data acquisition algorithm in array pixelated CdZnTe nuclear radiation detection system is studied. Through data verification, the algorithm has a high application value.
2 Researchon denoising data acquisition algorithm for array pixelated CdZnTe nuclear detector
2.1 Detector principle and system noise identification
The array pixelated CdZnTe detector is designed by a single-sided block electrode of CdZnTe crystal [8] to form anarray pixelated electrode structure on the surface of the crystal anode, and the cathode is an integral planar electrode. When the detector is working, a negative high voltage is applied to the surface of the cathode. Under the electric field formed by the applied bias voltage, a large number of electrons and holes generated by the interaction of the radiation and the crystal migrate to the two poles, respectively [9]. The induced charge generated by the pixel is collected by the pixel electrode and converted into a voltage pulse signal whose amplitude is proportional to the incident photon energy, and then further shaped and amplified by the shaping amplifier to obtain a pulse signal with a higher signal to noise ratio. The corresponding energy spectrum distribution is obtained by statistic of the signal pulse amplitude distribution [10].
For an ideal semiconductor nuclear radiation detector system, all pulse signals of a single energy ray correspond to the same peak signal path. However, in actual detection, there must be a certain detection system noise, which leads to the broadening of the spectrum of the detection system [11]. Therefore, reducing the various noise effects of the detection system has always been the focus of research in the field of semiconductor nuclear radiation detectors [12].
The total equivalent noise (eV) of a semiconductor detector system can be expressed as:
ΓF is the fluctuation noise of the number of electron-hole pairs generated in the crystal, which is related to the nature of the detector material. The specific values are:
where F is the Fano factor, w is the average ionization energy of the CdZnTe crystal, and Ein is the ray energy. The fluctuation noise of charge number ΓF determines the limit of the energy resolution that the detector can achieve, that is, the inherent limit energy resolution. For a detector using CdZnTe crystal as a material, the Fanofactor F = 0.14, the average ionization energy w = 4.64, and when the incident photon energy is 60 keV, the fluctuation noise of charge number ΓF = 0.464 keV. Therefore, the CdZnTe detector has a small fluctuation noise of charge number, and its inherent limit energy resolution is high.
Γcol is the incomplete noise of charge collection, indicating that electrons and holes are recombined or captured during the migration process, so that the carrier charge mobile phone is incomplete and generates noise. For the ideal conditions of high energy radiation conditions (MeV) and charge cell phone efficiency η > 0.9, the semi-empirical equation of Γcol is:
where Ein is the ray energy and η is the charge collection efficiency. Although the array pixelated CdZnTe detector has a “small pixel effect” in the inductive charge collection process, the small array pixelated electrode structure of the anode makes the induced charge collected by the detector mainly depend on the electron migration motion near the small pixel anode [13], while the contribution of hole migration inside the crystal to the output signal is significantly reduced, the effect of hole trapping on the detector’s induced charge signal collection is also weakened, and the “low energy tail” is improved [14], but in fact, considering the diffusion effect of carriers, the incomplete noise Γcol of charge collection is still the main source of noise for array pixelated CdZnTe detector systems.
Γe is the equivalent electronic noise of the detection system. It is the main source of noise in the detector system and can be expressed as:
where Γpre is the equivalent noise of the charge sensitive preamplifier itself, Id is the leakage current of the CdZnTe crystal, T is the ambient temperature, τ is the time constant of signal forming, and rs is the equivalent input impedance of the preamplifier FET, Cd is the source-gate capacitance (pF) of the preamplifier. It can be seen from the above equation that the equivalent electronic noise of the readout circuit and the leakage current noise of the crystal surface electrode are the main influencing factors of the electronic noise of the detection system [15].
The noise of the array pixelated CdZnTe detection system mainly comes from the incomplete noise of charge collection, the equivalent electronic noise of the readout circuit, and the leakage current noise of the crystal surface electrode. Among them, the incomplete noise of charge collection will cause a severe low-energy tail effect in the measured energy spectrum, and the equivalent electronic noise of the readout circuit and the leakage current noise of the crystal surface electrode will broaden the symmetry broadening peak and reduce the energy resolution rate of the detection system [16]. There are different noise sources in most electronic components: thermal noise, low frequency voltage noise, shot noise, and noise in transistors. Noise can be thought of as a macroscopic representation of a microscopic stochastic process, so it can be derived by considering microscopic processes [17]. The amplitude of the equivalent noise of the preamplifier is affected by many factors, and its interference noise is inherently inevitable [18]. The main work of this paper is aimed at collecting system noise [19].
2.1.1 Thermal noise
Due to the thermal fluctuation of the electron distribution in the conductor, we can consider a resistor with a resistance of R. When no current flows, the noise voltage Un can still be measured across the resistor. Calculating the noise power spectral density based on thermodynamics can be given by:
where f is the frequency; K is the Boltzmann constant; T is the absolute temperature.
According to equation (5), a physical resistor can be described as an ideal noise-free resistor R connected in series with the same noise voltage source or in parallel with the same noise current source. The specific spectral density is given by:
2.1.2 Low frequency voltage noise
This type of noise can be seen in most electronic devices. In most cases, the noise power spectrum has an approximate 1/f relationship, which can be expressed by:
The physical source of this noise is not unique and has many different mechanisms for different types of electronic components. And for the same electronic components, the noise intensity is related to the details of the technical production process [20].
2.1.3 Shot noise
Shot noise is a result of the electron point and discontinuity properties and represents a fluctuation of the number of carriers that make up the charge Q = Nq. Considering a “constant” current of I, we expect the charge ΔQ = IΔt, which flows through the boundary along the current path within a (short) time interval Δt. This is equivalent to an average of ΔN = IΔt/q electrons with a fluctuation of
From these relationships, the frequency spectrum of the noise current is derived to obtain the following equation:
The derivation of this equation makes the implicit assumption that the probability of an electron passing through a boundary is independent of other electrons. This illustrates the change in potential distribution caused by electrons that have crossed the boundary [21], without affecting the probability of other electrons crossing the boundary. Generally, this condition can be satisfied. In addition, shot noise requires current generated by an external power source, while thermal noise can exist in the device even without an external power supply [22].
2.1.4 Noise in the transistor
Thermal noise is important in all types of transistors. Shot noise is important in bipolar transistors because their base current is only two orders of magnitude lower than the pole current, the fluctuation of the base current is negligible compared to the signal current. In junction field effect transistors, shot noise dominates. In 1/f Noise, MOSFET is very significant, but not so important in JFETs and dual transistors.
The thermal noise in the field effect transistor is the thermal noise generated by the resistance of the channel. The thermal noise here cannot be simply calculated by the above equation, and more complicated analysis is needed to consider the interaction of the channel with the gate. The physical cause of low frequency noise in unipolar transistors is crystal defects, which cause carrier trapping. The carrier local area of the motion is captured and is not released after a certain delay. Because it is captured, the presence of all transiently fixed charges will sense the channel charge and thus modulate the crystal current.
2.2 Denoising data acquisition algorithm for array pixelated CdZnTe nuclear detector
Based on the analysis of the principle of the array pixelated CdZnTe nuclear detector and the identification of the noise inside the detector, the buffer half-full storage algorithmis used for the denoising data acquisition in the detector. Compared with the buffer algorithm and data compression algorithm in the existing data acquisition system, the biggest advantage of this algorithm is that the denoised data collected is not easily lost, and the integrity of the denoised data can be guaranteed. At the same time, the real-time multi-task control method is used in the detector, and the collected data is saved directly into the file in binary form. This not only achieves the purpose of large storage capacity and high data transmission efficiency, but also satisfies the requirements for real-time image transmission [23].
The buffer half-full storage algorithm is used to set a data HFIFO buffer pointer in the data acquisition process. The buffer size is set to 8192 bytes. When data appears on the PC104 bus, the received data frame is first placed in the HFIFO buffer. When the HFIFO reaches half-full, the lower 4096 bytes of data are read. While reading out the data, it makes room for the HFIFO, and the data frame received in the bus board continues to be placed in the HFIFO buffer. The specific operations are as follows:
Firstly, the buffer is divided into the following five states:
State 0 indicates that the HFIFO is empty.
State 1 indicates that the HFIFO is not empty but less than half-full
State 2 indicates that the HFIFO has reached or exceeded half-full but has not reached full
State 3 indicates that the HFIFO is full
State 4 indicates an unknown state and should not appear
Secondly, the state of the HFIFO is judged:
When the data does not reach half of the buffer size (i.e., state 0 or state 1): return at this time to perform denoising data acquisition.
When the data reaches or exceeds half of the buffer size but is not full (i.e., state = 2): the process will first judge the HFIFO state, and if it is half-full, read all 4096 bytes of data at a time; If it is more than half-full, but not full, at this time, only the lower 4096 bytes of data are read, and the original high data is advanced, occupying the HFIFO low position. All the data read out is saved directly to the binary file. In particular, it is proposed that since the multi-sensor detection system has a long acquisition time or no time limit [24], the collected data is saved directly into the file in the acquisition algorithm design, which saves a lot of time in storage engineering. In addition, the data is stored in a binary file, enabling real-time display of images.
When the HFIFO is full (i.e., state 3): At this point, the data acquisition process can return as long as the HFIFO is read empty or the number specified by the user is reached. When the reading is divided into two batches, the lower 4096 bytes of data are first read and saved into the binary file; then the upper data is read out, that is, the HFIFO is read, and the previous data is written into the file. The advantages of the two batches of readings are as follows: (1) shortening the time of one reading; (2) after reading the low byte data, make room for the HFIFO so that the data frames received in the bus board continue to put into the HFIFO buffer, the data is not easy to lose, ensuring the integrity of the data.
Other values: indicates an unknown state and should not appear. It will not be described in detail here.
Multi-thread control: Since the detector is composed of multiple detection modules, the denoising data acquisition algorithm detects and controls the multi-path parameters in the detector. In order to reduce the complexity of the whole system, realize real-time image transmission, meet the high-speed requirements and interrupt requirements of the acquisition process, and ensure that the frame rate reaches or exceeds 100Hz, the data acquisition algorithm needs multi-task parallelism, that is, design multiple threads. And because of the different tasks, the design of each thread is not the same [25, 26, 27, 28, 29, 30, 31]. The algorithm has a total design including data acquisition thread, control thread, and drawing thread. When the program runs at most, several threads may run in parallel. To ensure the integrity of a large amount of data and error correction recovery, the data collection thread has a higher priority than the control thread. The structure diagram is shown in Figure 1.

Algorithm structure diagram
As shown in Figure 1, the HFIFO buffer enters drawing thread 2 in state 2.
Drawing thread 1: When drawing, it needs to judge the HFIFO status first. If it is half-full, read the first 4 frames, that is, the lower 4096 pixels, then return immediately to draw. Only the first is frame drawn when drawing, and finally the data is saved. The HFIFO buffer enters drawing thread 2 in state 3. Drawing thread 2: 8 frames are read at
a time, that is, 8192 pixels, and then immediately return to draw. Only the first is frame drawn when drawing, and finally the data is saved, the drawing thread is shown in Figure 2:

Drawing thread diagram
3 Results
3.1 Analysis results of algorithm’s validity
Due to the “edge effect” of the edge pixels of the array pixelated CdZnTe detector, the performance of the detector’s edge pixels determines the effective range of the array pixelated imaging detector. Therefore, if the detection system can improve the response signal of the pixel at the edge of the crystal, a large-area array pixelated CdZnTe nuclear imaging system with excellent performance can be established by repeatedly preparing the signal processing channel. Based on the above considerations, the system performance test is carried out on the 2 × 2 pixels of the crystal corner under the algorithm using the 59. 5 keVAm gamma source. The bias voltage is −600 V and the detection time is 10 minutes. The energy spectrum of the pixel at the edge of the crystal is obtained. Figure 3 shows the peak results of the corresponding pulses output by the experimental detection system.

Peak finding of the pulse signal
As shown in Figure 3, the noise of the output pulse signal of the experimental detection system is small, the signal is not stacked and the peak statistics are accurate. The electronic noise of the readout circuit of the detection system is well suppressed.
Figure 4 shows the edge pixel energy spectrum with the highest energy resolution of the experimental detection system under the proposed algorithm.

Energy spectrum of241 Am (59. 5 keV)
As shown in Figure 4, due to the short detection time and the influence of crystal edge effect, the event counts of low energy and omnipotent peaks in the energy spectrum distribution are small, and the escape peak of 36.1 keV Cd is not obvious, and the mixed peak Kα1,α2 of Teat
27.4 keV cannot be confirmed because of the higher threshold setting during pulse peaking. The obtained pluripotent peak is approximately symmetric and the low energy tail is not obvious. It indicates that the incomplete noise of charge collection and the surface leakage current noise of the CdZnTe crystal in the detection system using the proposed algorithm are improved, and the obtained peak spectrum FWHM = 6.05 keV. The energy resolution is 10.08%, and the energy resolution performance of the entire pixel array detector has been significantly improved. The detection performance of the edge pixel signal of the array pixelated CdZnTe crystal meets the requirements of nuclear radiation detection.
A comprehensive analysis of the above results shows that the proposed algorithm can effectively collect the noise data in the array pixelated CdZnTedetector, so as to obtain the peak finding result and the edge pixel energy spectrum with the highest energy resolution.
In order to further verify the performance of the buffer half-full storage algorithm used to collect the denoised data in the array pixelated CdZnTe detector, the peak identification algorithm, the binary search algorithm and the proposed algorithm are compared.
3.2 Analysis results of algorithm’s performance
3.2.1 Analysis results of algorithm’s robustness
The proposed algorithm, peak identification algorithm and binary search algorithm are tested to collect the denoising data in the array pixelated CdZnTe detector, and the robustness of the three algorithms is compared. The number of experiments is 7 and the results are depicted in Figure 5:

Robustness test results
Analysis of Figure 5 shows that the number of experiments is 7 times. With the increase of the number of experiments, the trend of the proposed algorithm has slight fluctuations. It is always above the peak identification algorithm and the binary search algorithm. In the third experiment, it has coincidence with the peak identification algorithm, and the data shows that the robustness of the proposed algorithm is 0.44 and the minimum is 0.40. The maximum robustness of the peak identification algorithm is 0.43 and the minimum is 0.17. The maximum robustness of the binary search algorithm is 0.44 and the minimum is 0.33. It can be seen from the data comparison that the robustness of the proposed algorithm is the best. It describes whether the algorithm process and the result are stable when the algorithm is in an abnormal and dangerous situation. The proposed algorithm has good stability when collecting denoising data.
3.2.2 Error rate analysis results of the algorithm for denoising data acquisition
Figure 6 shows the denoising data errors in the three algorithms for the acquisition of array pixelated CdZnTe detector with different amounts of denoised data. The minimum number and the maximum number of denoised data are 10 and 40, respectively.

Denoising data acquisition error test results
Analysis of Figure 6 shows that there are 40 denoising data in the array pixelated CdZnTe detector. With the increase of the denoising number, the acquisition error of
the proposed algorithm is less fluctuating. According to the data, the maximum error rate of the denoising data acquisition in the array pixelated CdZnTe detector by using the proposed algorithm is 0.25, the minimum value is 0.20; while that of the peak identification algorithm is 0.65, the minimum value is 0.20; and the maximum value of the error rate by the binary search method is 0.40 and the minimum value is 0.25. It can be seen from the data comparison that the proposed algorithm has the minimum error in the acquisition of denoising data in array pixelated CdZnTe detector. The algorithm has a high accuracy.
3.2.3 Analysis results of the acquisition efficiency of the algorithm
The comparison results of the denoising data acquisition efficiency of the three algorithms in the array pixelated CdZnTe detector under different experimental times are described in Figure 7.

Algorithm acquisition speed growth rate test results
Analysis of Figure 7 shows that in the comparison of the acquisition speed’s growth rate of the three algorithms, the overall trend of the acquisition speed’s growth rate of the proposed algorithm is above the other two algorithms, the maximum growth rate of the proposed algorithm is 96%, while the maximum growth rate of peak identification algorithm is 95%, and the maximum growth rate of the acquisition speed of the binary search method is 91.8%. It can be seen from the data comparison that the proposed algorithm has a faster growth rate and higher efficiency for the denoising data acquisition in the array pixelated CdZnTe detector.
The time-consuming situation of the denoising data acquisition of the three algorithms in the array pixelated CdZnTe detectoris count. Eight groups of experiments are set up, and the number of denoising in each group is different, and four data acquisitions are performed. The results are shown in Tables 1, 2 and 3.
Time-consuming test results of peak recognition algorithm for noise removal data acquisition
Denoising quantity/per unit | Acquisition time consuming/s |
||||
---|---|---|---|---|---|
First times | Second times | Third times | Fourth times | Time per request | |
100 | 168 | 168 | 167.5 | 167.4 | 167.73 |
200 | 336 | 336 | 335 | 334.8 | 335.45 |
300 | 504 | 504 | 502.5 | 502.2 | 503.18 |
400 | 672 | 672 | 670 | 669.6 | 670.9 |
500 | 840 | 840 | 837.5 | 837 | 838.63 |
600 | 1008 | 1008 | 1005 | 1004.4 | 1006.35 |
700 | 1176 | 1176 | 1172.5 | 1171.8 | 1174.08 |
800 | 1344 | 1344 | 1340 | 1339.2 | 1341.8 |
Mean value | 756 | 756 | 753.75 | 753.3 | 754.765 |
The time-consuming test results of the algorithm in data collection
Denoising quantity / per unit | Acquisition time consuming/s |
||||
---|---|---|---|---|---|
First times | Second times | Third times | Fourth times | Time per request | |
100 | 120 | 120 | 120 | 120.5 | 120.13 |
200 | 240 | 240 | 240 | 241 | 240.25 |
300 | 360 | 360 | 360 | 361.5 | 360.13 |
400 | 480 | 480 | 480 | 482 | 480.5 |
500 | 600 | 600 | 600 | 602.5 | 600.63 |
600 | 720 | 720 | 720 | 723 | 720.75 |
700 | 840 | 840 | 840 | 843.5 | 840.88 |
800 | 960 | 960 | 960 | 964 | 961 |
Mean value | 540 | 540 | 540 | 542.25 | 540.54 |
The time-consuming test results of the two point search method for noise elimination data acquisition
Denoising quantity / per unit | Acquisition time consuming/s |
||||
---|---|---|---|---|---|
First times | Second times | Third times | Fourth times | Time per request | |
times | times | times | times | request | |
100 | 144 | 144.5 | 144.5 | 1144.5 | 144.38 |
200 | 288 | 289 | 289 | 289 | 288.75 |
300 | 432 | 433.5 | 433.5 | 433.5 | 433.13 |
400 | 576 | 578 | 578 | 578 | 577.5 |
500 | 720 | 722.5 | 722.5 | 722.5 | 721.88 |
600 | 864 | 867 | 867 | 867 | 866.25 |
700 | 1008 | 1011.5 | 1011.5 | 1011.5 | 1010.63 |
800 | 1152 | 1156 | 1156 | 1156 | 1155 |
Mean value | 648 | 650.25 | 650.25 | 775.25 | 649.69 |
It can be seen from Tables 1, 2 and 3 that in the time-consuming comparison results of the denoising data acquisition by using the three algorithms, eight sets of denoising data are collected four times, and a total of 800 denoising data are collected. It can be seen that the average acquisition time of each denoising data by using the peak recognition algorithm is about 753s, and the average time of the binary search method for 800 denoising data is about 649s. The average acquisition time of the proposed algorithm for different denoising data is about 540s. The analysis can be concluded that compared with the other
two algorithms, the propsoed algorithm has the lowest average acquisition time for different denoising data. The algorithm has the advantage of high acquisition efficiency.
In summary, when the denoising data is collected in the array pixelated CdZnTe detector, the stability of the proposed algorithm is higher, the denoising data acquisition error is aminimum, and the denoising data acquisition efficiency is the highest.
4 Discussion
In view of the research content in this paper, the following suggestions are proposed for data collection in future detectors:
Improvement of CdZnTe crystal electrode structure. According to the research on CdZnTe detectors at home and abroad, the improvement of the electrode structure of CdZnTe crystal has the most direct impact on the performance of the detector. Therefore, it is possible to study and design a more efficient pixel array microelectrode to change the internal weight distribution of the crystal, thereby improving the carrier collection capability of the anode of the array pixelated detector; or on the basis of the existing surface pixel electrode structure, different forms of protective gates are studied and prepared to improve the defects of large pixel leakage current at the edge of the CdZnTe crystal.
Detector Signal Processing.
It is possible to further study the whole set of signal processing algorithms with pulse peak finding, rise time discrimination and peak correction of energy spectrum characteristics, which will greatly improve the detection efficiency of the detection system.
Study on Electric Field Distribution in CdZnTe crystal. Based on the work of this paper, the CdZnTe detector induced signal model considering the carrier diffusion effect can be further established to expand the application range of the CdZnTe detector’s imaging evaluation model. Aiming at the internal electric field distribution of CdZnTe crystal under low energy and low voltage conditions, a multiphysics coupled electric field distribution model combined with weight potential theory is established and studied. In the experimental aspect, the internal electric field distribution image of the crystal during the polarization effect can be further observed by the Pockels effect to establish a more perfect electric field distribution variation theory in the CdZnTe crystal.
5 Conclusions
In this paper, the denoising data acquisition algorithm of array pixelated CdZnTe nuclear detector is proposed. Firstly, the detector principle and system noise are analyzed. Secondly, the buffer half-full storage algorithm is used to collect the denoising data in the detector. Experimental data verification shows that the proposed algorithm can effectively collect the denoising data of the array pixelated CdZnTe nuclear detector, the acquisition error rate is only 0. 25, and the acquisition speed growth rate is as high as 96%. When the proposed algorithm performs denoising data acquisition, it has high stability and high efficiency, and the error of denoising data acquisition is small, which has high use value.
Acknowledgement
This work was supported by the Special Fund of National Key Scientific Instruments and Equipments Development (2011YQ040082), the National 973 Project of China (2011CB610400), the 111 Project of China (B08040), the National Key Research and Development Program of China (2016YFF0101301), the National Natural Science Foundation of China (NNSFC-61274081, 51372205, 51502244), the China Postdoctoral Science Foundation (2014M550509), the fund of the State Key Laboratory of Solidification Processing in NWPU(SKLSP201410), and the Fundamental Research Funds for the Central Universities (3102015BJ(II)ZS014).
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© 2019 X. Luo et al., published by De Gruyter
This work is licensed under the Creative Commons Attribution 4.0 International License.
Articles in the same Issue
- Regular Articles
- Non-equilibrium Phase Transitions in 2D Small-World Networks: Competing Dynamics
- Harmonic waves solution in dual-phase-lag magneto-thermoelasticity
- Multiplicative topological indices of honeycomb derived networks
- Zagreb Polynomials and redefined Zagreb indices of nanostar dendrimers
- Solar concentrators manufacture and automation
- Idea of multi cohesive areas - foundation, current status and perspective
- Derivation method of numerous dynamics in the Special Theory of Relativity
- An application of Nwogu’s Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves
- Competing Risks Model with Partially Step-Stress Accelerate Life Tests in Analyses Lifetime Chen Data under Type-II Censoring Scheme
- Group velocity mismatch at ultrashort electromagnetic pulse propagation in nonlinear metamaterials
- Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines
- Analysis of impact load on tubing and shock absorption during perforating
- Energy characteristics of a nonlinear layer at resonant frequencies of wave scattering and generation
- Ion charge separation with new generation of nuclear emulsion films
- On the influence of water on fragmentation of the amino acid L-threonine
- Formulation of heat conduction and thermal conductivity of metals
- Displacement Reliability Analysis of Submerged Multi-body Structure’s Floating Body for Connection Gaps
- Deposits of iron oxides in the human globus pallidus
- Integrability, exact solutions and nonlinear dynamics of a nonisospectral integral-differential system
- Bounds for partition dimension of M-wheels
- Visual Analysis of Cylindrically Polarized Light Beams’ Focal Characteristics by Path Integral
- Analysis of repulsive central universal force field on solar and galactic dynamics
- Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics
- Understanding quantum mechanics: a review and synthesis in precise language
- Plane Wave Reflection in a Compressible Half Space with Initial Stress
- Evaluation of the realism of a full-color reflection H2 analog hologram recorded on ultra-fine-grain silver-halide material
- Graph cutting and its application to biological data
- Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
- Exact solutions of equal-width equation and its conservation laws
- MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt
- Vibration Analysis of a Three-Layered FGM Cylindrical Shell Including the Effect Of Ring Support
- Hybrid censoring samples in assessment the lifetime performance index of Chen distributed products
- Study on the law of coal resistivity variation in the process of gas adsorption/desorption
- Mapping of Lineament Structures from Aeromagnetic and Landsat Data Over Ankpa Area of Lower Benue Trough, Nigeria
- Beta Generalized Exponentiated Frechet Distribution with Applications
- INS/gravity gradient aided navigation based on gravitation field particle filter
- Electrodynamics in Euclidean Space Time Geometries
- Dynamics and Wear Analysis of Hydraulic Turbines in Solid-liquid Two-phase Flow
- On Numerical Solution Of The Time Fractional Advection-Diffusion Equation Involving Atangana-Baleanu-Caputo Derivative
- New Complex Solutions to the Nonlinear Electrical Transmission Line Model
- The effects of quantum spectrum of 4 + n-dimensional water around a DNA on pure water in four dimensional universe
- Quantum Phase Estimation Algorithm for Finding Polynomial Roots
- Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia
- The Errors Recognition and Compensation for the Numerical Control Machine Tools Based on Laser Testing Technology
- Evaluation and Decision Making of Organization Quality Specific Immunity Based on MGDM-IPLAO Method
- Key Frame Extraction of Multi-Resolution Remote Sensing Images Under Quality Constraint
- Influences of Contact Force towards Dressing Contiguous Sense of Linen Clothing
- Modeling and optimization of urban rail transit scheduling with adaptive fruit fly optimization algorithm
- The pseudo-limit problem existing in electromagnetic radiation transmission and its mathematical physics principle analysis
- Chaos synchronization of fractional–order discrete–time systems with different dimensions using two scaling matrices
- Stress Characteristics and Overload Failure Analysis of Cemented Sand and Gravel Dam in Naheng Reservoir
- A Big Data Analysis Method Based on Modified Collaborative Filtering Recommendation Algorithms
- Semi-supervised Classification Based Mixed Sampling for Imbalanced Data
- The Influence of Trading Volume, Market Trend, and Monetary Policy on Characteristics of the Chinese Stock Exchange: An Econophysics Perspective
- Estimation of sand water content using GPR combined time-frequency analysis in the Ordos Basin, China
- Special Issue Applications of Nonlinear Dynamics
- Discrete approximate iterative method for fuzzy investment portfolio based on transaction cost threshold constraint
- Multi-objective performance optimization of ORC cycle based on improved ant colony algorithm
- Information retrieval algorithm of industrial cluster based on vector space
- Parametric model updating with frequency and MAC combined objective function of port crane structure based on operational modal analysis
- Evacuation simulation of different flow ratios in low-density state
- A pointer location algorithm for computer visionbased automatic reading recognition of pointer gauges
- A cloud computing separation model based on information flow
- Optimizing model and algorithm for railway freight loading problem
- Denoising data acquisition algorithm for array pixelated CdZnTe nuclear detector
- Radiation effects of nuclear physics rays on hepatoma cells
- Special issue: XXVth Symposium on Electromagnetic Phenomena in Nonlinear Circuits (EPNC2018)
- A study on numerical integration methods for rendering atmospheric scattering phenomenon
- Wave propagation time optimization for geodesic distances calculation using the Heat Method
- Analysis of electricity generation efficiency in photovoltaic building systems made of HIT-IBC cells for multi-family residential buildings
- A structural quality evaluation model for three-dimensional simulations
- WiFi Electromagnetic Field Modelling for Indoor Localization
- Modeling Human Pupil Dilation to Decouple the Pupillary Light Reflex
- Principal Component Analysis based on data characteristics for dimensionality reduction of ECG recordings in arrhythmia classification
- Blinking Extraction in Eye gaze System for Stereoscopy Movies
- Optimization of screen-space directional occlusion algorithms
- Heuristic based real-time hybrid rendering with the use of rasterization and ray tracing method
- Review of muscle modelling methods from the point of view of motion biomechanics with particular emphasis on the shoulder
- The use of segmented-shifted grain-oriented sheets in magnetic circuits of small AC motors
- High Temperature Permanent Magnet Synchronous Machine Analysis of Thermal Field
- Inverse approach for concentrated winding surface permanent magnet synchronous machines noiseless design
- An enameled wire with a semi-conductive layer: A solution for a better distibution of the voltage stresses in motor windings
- High temperature machines: topologies and preliminary design
- Aging monitoring of electrical machines using winding high frequency equivalent circuits
- Design of inorganic coils for high temperature electrical machines
- A New Concept for Deeper Integration of Converters and Drives in Electrical Machines: Simulation and Experimental Investigations
- Special Issue on Energetic Materials and Processes
- Investigations into the mechanisms of electrohydrodynamic instability in free surface electrospinning
- Effect of Pressure Distribution on the Energy Dissipation of Lap Joints under Equal Pre-tension Force
- Research on microstructure and forming mechanism of TiC/1Cr12Ni3Mo2V composite based on laser solid forming
- Crystallization of Nano-TiO2 Films based on Glass Fiber Fabric Substrate and Its Impact on Catalytic Performance
- Effect of Adding Rare Earth Elements Er and Gd on the Corrosion Residual Strength of Magnesium Alloy
- Closed-die Forging Technology and Numerical Simulation of Aluminum Alloy Connecting Rod
- Numerical Simulation and Experimental Research on Material Parameters Solution and Shape Control of Sandwich Panels with Aluminum Honeycomb
- Research and Analysis of the Effect of Heat Treatment on Damping Properties of Ductile Iron
- Effect of austenitising heat treatment on microstructure and properties of a nitrogen bearing martensitic stainless steel
- Special Issue on Fundamental Physics of Thermal Transports and Energy Conversions
- Numerical simulation of welding distortions in large structures with a simplified engineering approach
- Investigation on the effect of electrode tip on formation of metal droplets and temperature profile in a vibrating electrode electroslag remelting process
- Effect of North Wall Materials on the Thermal Environment in Chinese Solar Greenhouse (Part A: Experimental Researches)
- Three-dimensional optimal design of a cooled turbine considering the coolant-requirement change
- Theoretical analysis of particle size re-distribution due to Ostwald ripening in the fuel cell catalyst layer
- Effect of phase change materials on heat dissipation of a multiple heat source system
- Wetting properties and performance of modified composite collectors in a membrane-based wet electrostatic precipitator
- Implementation of the Semi Empirical Kinetic Soot Model Within Chemistry Tabulation Framework for Efficient Emissions Predictions in Diesel Engines
- Comparison and analyses of two thermal performance evaluation models for a public building
- A Novel Evaluation Method For Particle Deposition Measurement
- Effect of the two-phase hybrid mode of effervescent atomizer on the atomization characteristics
- Erratum
- Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance
- Erratum to: Energy converting layers for thin-film flexible photovoltaic structures
Articles in the same Issue
- Regular Articles
- Non-equilibrium Phase Transitions in 2D Small-World Networks: Competing Dynamics
- Harmonic waves solution in dual-phase-lag magneto-thermoelasticity
- Multiplicative topological indices of honeycomb derived networks
- Zagreb Polynomials and redefined Zagreb indices of nanostar dendrimers
- Solar concentrators manufacture and automation
- Idea of multi cohesive areas - foundation, current status and perspective
- Derivation method of numerous dynamics in the Special Theory of Relativity
- An application of Nwogu’s Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves
- Competing Risks Model with Partially Step-Stress Accelerate Life Tests in Analyses Lifetime Chen Data under Type-II Censoring Scheme
- Group velocity mismatch at ultrashort electromagnetic pulse propagation in nonlinear metamaterials
- Investigating the impact of dissolved natural gas on the flow characteristics of multicomponent fluid in pipelines
- Analysis of impact load on tubing and shock absorption during perforating
- Energy characteristics of a nonlinear layer at resonant frequencies of wave scattering and generation
- Ion charge separation with new generation of nuclear emulsion films
- On the influence of water on fragmentation of the amino acid L-threonine
- Formulation of heat conduction and thermal conductivity of metals
- Displacement Reliability Analysis of Submerged Multi-body Structure’s Floating Body for Connection Gaps
- Deposits of iron oxides in the human globus pallidus
- Integrability, exact solutions and nonlinear dynamics of a nonisospectral integral-differential system
- Bounds for partition dimension of M-wheels
- Visual Analysis of Cylindrically Polarized Light Beams’ Focal Characteristics by Path Integral
- Analysis of repulsive central universal force field on solar and galactic dynamics
- Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics
- Understanding quantum mechanics: a review and synthesis in precise language
- Plane Wave Reflection in a Compressible Half Space with Initial Stress
- Evaluation of the realism of a full-color reflection H2 analog hologram recorded on ultra-fine-grain silver-halide material
- Graph cutting and its application to biological data
- Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
- Exact solutions of equal-width equation and its conservation laws
- MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt
- Vibration Analysis of a Three-Layered FGM Cylindrical Shell Including the Effect Of Ring Support
- Hybrid censoring samples in assessment the lifetime performance index of Chen distributed products
- Study on the law of coal resistivity variation in the process of gas adsorption/desorption
- Mapping of Lineament Structures from Aeromagnetic and Landsat Data Over Ankpa Area of Lower Benue Trough, Nigeria
- Beta Generalized Exponentiated Frechet Distribution with Applications
- INS/gravity gradient aided navigation based on gravitation field particle filter
- Electrodynamics in Euclidean Space Time Geometries
- Dynamics and Wear Analysis of Hydraulic Turbines in Solid-liquid Two-phase Flow
- On Numerical Solution Of The Time Fractional Advection-Diffusion Equation Involving Atangana-Baleanu-Caputo Derivative
- New Complex Solutions to the Nonlinear Electrical Transmission Line Model
- The effects of quantum spectrum of 4 + n-dimensional water around a DNA on pure water in four dimensional universe
- Quantum Phase Estimation Algorithm for Finding Polynomial Roots
- Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia
- The Errors Recognition and Compensation for the Numerical Control Machine Tools Based on Laser Testing Technology
- Evaluation and Decision Making of Organization Quality Specific Immunity Based on MGDM-IPLAO Method
- Key Frame Extraction of Multi-Resolution Remote Sensing Images Under Quality Constraint
- Influences of Contact Force towards Dressing Contiguous Sense of Linen Clothing
- Modeling and optimization of urban rail transit scheduling with adaptive fruit fly optimization algorithm
- The pseudo-limit problem existing in electromagnetic radiation transmission and its mathematical physics principle analysis
- Chaos synchronization of fractional–order discrete–time systems with different dimensions using two scaling matrices
- Stress Characteristics and Overload Failure Analysis of Cemented Sand and Gravel Dam in Naheng Reservoir
- A Big Data Analysis Method Based on Modified Collaborative Filtering Recommendation Algorithms
- Semi-supervised Classification Based Mixed Sampling for Imbalanced Data
- The Influence of Trading Volume, Market Trend, and Monetary Policy on Characteristics of the Chinese Stock Exchange: An Econophysics Perspective
- Estimation of sand water content using GPR combined time-frequency analysis in the Ordos Basin, China
- Special Issue Applications of Nonlinear Dynamics
- Discrete approximate iterative method for fuzzy investment portfolio based on transaction cost threshold constraint
- Multi-objective performance optimization of ORC cycle based on improved ant colony algorithm
- Information retrieval algorithm of industrial cluster based on vector space
- Parametric model updating with frequency and MAC combined objective function of port crane structure based on operational modal analysis
- Evacuation simulation of different flow ratios in low-density state
- A pointer location algorithm for computer visionbased automatic reading recognition of pointer gauges
- A cloud computing separation model based on information flow
- Optimizing model and algorithm for railway freight loading problem
- Denoising data acquisition algorithm for array pixelated CdZnTe nuclear detector
- Radiation effects of nuclear physics rays on hepatoma cells
- Special issue: XXVth Symposium on Electromagnetic Phenomena in Nonlinear Circuits (EPNC2018)
- A study on numerical integration methods for rendering atmospheric scattering phenomenon
- Wave propagation time optimization for geodesic distances calculation using the Heat Method
- Analysis of electricity generation efficiency in photovoltaic building systems made of HIT-IBC cells for multi-family residential buildings
- A structural quality evaluation model for three-dimensional simulations
- WiFi Electromagnetic Field Modelling for Indoor Localization
- Modeling Human Pupil Dilation to Decouple the Pupillary Light Reflex
- Principal Component Analysis based on data characteristics for dimensionality reduction of ECG recordings in arrhythmia classification
- Blinking Extraction in Eye gaze System for Stereoscopy Movies
- Optimization of screen-space directional occlusion algorithms
- Heuristic based real-time hybrid rendering with the use of rasterization and ray tracing method
- Review of muscle modelling methods from the point of view of motion biomechanics with particular emphasis on the shoulder
- The use of segmented-shifted grain-oriented sheets in magnetic circuits of small AC motors
- High Temperature Permanent Magnet Synchronous Machine Analysis of Thermal Field
- Inverse approach for concentrated winding surface permanent magnet synchronous machines noiseless design
- An enameled wire with a semi-conductive layer: A solution for a better distibution of the voltage stresses in motor windings
- High temperature machines: topologies and preliminary design
- Aging monitoring of electrical machines using winding high frequency equivalent circuits
- Design of inorganic coils for high temperature electrical machines
- A New Concept for Deeper Integration of Converters and Drives in Electrical Machines: Simulation and Experimental Investigations
- Special Issue on Energetic Materials and Processes
- Investigations into the mechanisms of electrohydrodynamic instability in free surface electrospinning
- Effect of Pressure Distribution on the Energy Dissipation of Lap Joints under Equal Pre-tension Force
- Research on microstructure and forming mechanism of TiC/1Cr12Ni3Mo2V composite based on laser solid forming
- Crystallization of Nano-TiO2 Films based on Glass Fiber Fabric Substrate and Its Impact on Catalytic Performance
- Effect of Adding Rare Earth Elements Er and Gd on the Corrosion Residual Strength of Magnesium Alloy
- Closed-die Forging Technology and Numerical Simulation of Aluminum Alloy Connecting Rod
- Numerical Simulation and Experimental Research on Material Parameters Solution and Shape Control of Sandwich Panels with Aluminum Honeycomb
- Research and Analysis of the Effect of Heat Treatment on Damping Properties of Ductile Iron
- Effect of austenitising heat treatment on microstructure and properties of a nitrogen bearing martensitic stainless steel
- Special Issue on Fundamental Physics of Thermal Transports and Energy Conversions
- Numerical simulation of welding distortions in large structures with a simplified engineering approach
- Investigation on the effect of electrode tip on formation of metal droplets and temperature profile in a vibrating electrode electroslag remelting process
- Effect of North Wall Materials on the Thermal Environment in Chinese Solar Greenhouse (Part A: Experimental Researches)
- Three-dimensional optimal design of a cooled turbine considering the coolant-requirement change
- Theoretical analysis of particle size re-distribution due to Ostwald ripening in the fuel cell catalyst layer
- Effect of phase change materials on heat dissipation of a multiple heat source system
- Wetting properties and performance of modified composite collectors in a membrane-based wet electrostatic precipitator
- Implementation of the Semi Empirical Kinetic Soot Model Within Chemistry Tabulation Framework for Efficient Emissions Predictions in Diesel Engines
- Comparison and analyses of two thermal performance evaluation models for a public building
- A Novel Evaluation Method For Particle Deposition Measurement
- Effect of the two-phase hybrid mode of effervescent atomizer on the atomization characteristics
- Erratum
- Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance
- Erratum to: Energy converting layers for thin-film flexible photovoltaic structures