Optimal Delay Time Research Articles

Robust parameter estimation for constrained time-delay systems with inexact measurements

<p style='text-indent:20px;'>In this paper, we consider estimation problems involving constrained nonlinear systems with the unknown time-delays and unknown system parameters. These unknown quantities are to be estimated such that a least-squares error function between the system output and a set of noisy measurements is minimized subject to the characteristic time constraints specifying the restrictions. We first present the classical estimation formulation, where the expectation of the error function is regarded as the cost function. Then, in order to obtain robust estimates against the noises in measurements, we propose a robust estimation formulation, in which the cost function is the variance of the error function and an additional constraint indicates an allowable sacrifice from the optimal expectation value of the classical estimation problem. For these two estimation problems, we derive the gradients of the corresponding cost and constraint functions with respect to time-delays and system parameters by solving some auxiliary time-delay systems backward in time. On this basis, we develop gradient-based optimization algorithms to determine the optimal time-delays and system parameters. Finally, we consider two example problems, including a parameter estimation problem in microbial batch fermentation process, to illustrate the effectiveness and applicability of our proposed algorithms.

Active Gate Delay Time Control of Si/SiC Hybrid Switch for Junction Temperature Balance Over a Wide Power Range

The optimal gate delay time control between the two internal devices to achieve excellent electrical and thermal performance of the Si/SiC hybrid switch is considerably affected by several factors and requires careful adjustment to suit the different operation conditions of power converters. However, the conventional gate control solution for the hybrid switch applies a fixed delay time to achieve the minimum switching loss at a specific load current, resulting in disparities in junction temperature of internal devices over a wide load range. This effectively reduces the safe operating area by risking one internal switch subjected to overrated junction temperature in a wide range operation with regard to power handling condition. To avoid such a serious risk of reliability degradation or thermal breakdown, a novel active gate delay time control strategy based on the electro-thermal coupling loss model is proposed. The gate delay time was dynamically adjusted and optimized according to the operation conditions of power converters so that the operation junction temperature difference of the two internal devices can be minimized. Experimental results demonstrate that the junction temperature of the hybrid switch decreases by 20 °C at 8-kW load condition and its maximum power handling capability increases by 18%, without compromising the power converter's efficiency in a 20 kHz Si/SiC hybrid switch-based dc/dc buck converter compared with the conventional approach.

Exploring the fluctuant transmission characteristics of Air Quality Index based on time series network model

Abstract Although many works have focused on the issues related to Air Quality Index (AQI) from the perspective of statistics or economics, the dynamic and temporal characteristics of AQI time series remain unclear. The main reason is that AQI time series has both non-linearity and complexity, which cannot be characterized by conventional ways. The inherent transmission laws of AQI volatility are of great importance for environment monitoring and management system. Thus, this paper has endeavored to address the issue from the interdisciplinary perspective of complex network theory. First, we collect the annual and the total AQI data of three cities (Shanghai, Wuhan and Guangzhou) in China from January 1, 2015 to December 31, 2017. Then the coarse graining method is employed in combination with the theory of phase space reconstruction to convert AQI time series into complex network. The coarse graining method is used to transform yearly and total AQI time series into the corresponding symbol sequences. In accordance with the theory of phase space reconstruction, we adopt C C method and false nearest neighbor algorithm to estimate the optimal time delay and embedding dimension of AQI time series, respectively. The optimal time delay is integrated with the embedding dimension to map symbol sequences into AQI complex network. Based on complex network theory, we investigate the transmission of AQI fluctuation by the temporal characteristics and dynamics of yearly AQI networks (YAN) and total AQI networks (TAN), which include node strength, betweenness centrality and community structure. The empirical results show: (1) the AQI networks of various periods display small-world effect; (2) network evolution tends to be more complex and the modality in YAN has less alternative transformation paths than that in TAN; (3) the node strength and betweenness centrality in measuring the importance of nodes achieve a relative consistency; (4) the three cities have the same dominant fluctuation modalities both in YAN and in TAN; (5) the uneven distribution of transmission ability between clusters implies a preferential transmission whether in YAN or TAN. These findings not only help us to interpret the frequent volatility of AQI and control some extreme short-term AQI fluctuation, but also contribute to the reliability assessment of AQI and the prediction of AQI fluctuation. In summary, this paper not only reveals the temporal dynamic properties of AQI time series, but also provides some policy recommendations for environmental monitoring and management.

A novel protocol for three-dimensional rotational venography with low-dose contrast media in preoperative angiography of brain tumours.

The most appropriate imaging protocol for three-dimensional rotational venography (3D RV) has not been established. The aim of this study was to optimise the protocol for 3D RV with low-dose contrast media using time-density curve analysis. Twenty-five consecutive patients with brain tumours who received preoperative assessment with 3D RV were retrospectively collected and included in this study. To optimise the imaging delay time of 3D RV with low-dose contrast media, time-density curve analysis was performed on two-dimensional conventional angiography. The image quality for depicting cortical veins and venous sinuses was compared to that of magnetic resonance (MR) venography in five cases. A total of 27 3D RVs were performed in 25 patients. The time-density curves of cortical veins were different from those of cerebral arteries or sinuses. The mean time to peak of cortical veins was significantly longer than the time to peak of cerebral arteries (2.47 ± 0.35 seconds vs. 6.44 ± 1.14 seconds; p < 0.0001) and shorter than the time to peak of venous sinuses (6.44 ± 1.14 seconds vs. 8.18 ± 1.12 seconds; p < 0.0001). The optimal imaging delay time could be determined as the phases in which cortical arterial opacities disappeared and cortical veins started to appear. The mean dose of injected contrast media was 5.3 mL. The image quality of cortical veins in 3D RV was superior to that in MR venography in all cases. Three-dimensional RV with low-dose contrast media was useful for the preoperative assessment of cortical veins in patients with brain tumours.

Optimal True Time Delay Filter With Application to FPGA Firmware‐Based Phased Array Radar Signal Processing

AbstractThe European Incoherent Scatter‐3D phased array radar system will be largely based on field‐programmable gate array (FPGA) firmware electronics that carry out the signal processing by using different digital filters. In this paper we have presented a method of designing an optimal true time delay finite impulse response filter with applications to an FPGA firmware‐based multichannel signal processing system. The method provides an optimal true time delay finite impulse response filter with the desired responses at both band pass and stopband. This is possible by finding a mathematical minimization solution for the total power of all filter coefficients longer than a prespecified half‐length. The analysis is based on freely choosing the responses in the transition band until user‐specified desired responses are achieved. We have investigated the performance of these optimal digital filters in terms of the required digital signal processing (DSP) resources in GMACs (giga multiply accumulates per second) by considering both all‐in‐one stage filtering and cascaded solutions for ion and plasma line incoherent scatter radar measurements. We have shown that the cascaded solution provides more efficient utilization of DSP resources and hence represents the optimal choice for processing the proposed European Incoherent Scatter‐3D phased array radar signals. An example is demonstrated in which 906.88 GMACs are required to process 208 ion line beams with 2×4‐bit resolution in all‐in‐one stage processing, as compared to the 79.16 GMACs needed for a similar task in a cascaded solution.

Entanglement optimization of filtered output fields in cavity optomechanics.

Output entanglement is a key element in quantum information processing. Here, we show how to obtain optimal entanglement between two filtered output fields in a three-mode optomechanical system. First, we obtain the key analytical expression of optimal time delay between the two filtered output fields, from which we can obtain the optimal coupling for output entanglement without time delay. In this case, our linearized analysis predicts that the entanglement saturates to an optimal value as the optomechanical coupling is increased. Furthermore, we obtain the optimal output entanglement with time delay. These results should be very helpful in conceiving new optomechanical schemes of quantum information processing with their efficiency depending critically on the degree of output entanglement.

Delaying the Decay of a Superposition of Resonance States

A weak-field coherent control scheme is applied in order to enhance the decay lifetime of a superposition of overlapping resonance states. The scheme uses a pump laser field consisting of two pulses delayed in time, each of them exciting a different energy at which several resonances of the Ne-Br2(B) complex overlap. Simultaneous excitation of these two energies induces interference between the overlapping resonances, which causes an enhancement of the lifetime of the superposition created. By variation of the delay time between the pulses, the mechanism of resonance interference can be controlled and optimized to achieve a maximum lifetime enhancement. The optimal delay time between pulses leading to maximum superposition lifetime can be quantitatively predicted with a simple law. The effect of the interference mechanism on the lifetime enhancement is investigated. It is found that interference induces a transfer of amplitude between the different resonances back and forth, which delays significantly the natural resonance decay, increasing the global lifetime of the superposition. Due to the simplicity of the control scheme, a wide applicability is envisioned.

Numerical Experimentation Research in Optimizing the Signal Rate &amp; other Related Factors on Traffic Flow

Traffic congestion is one of the current issues faced by the major cities constantly, since past few years. A well organized traffic system and its infrastructure can make a positive impact in reducing the block and thereby affecting the social strata and hence, the economy. Considering the current scenario in the city of Thiruvananthapuram, this study is conducted to forecast the optimal delay time of the signals, such as it reduces the congestion problem effectively. Similar to other cities, Thiruvananthapuram is also prone to the traffic jam in roads on a regular basis. This affects the social system immensely by consuming a large amount of time and fuel. The primal objective of this paper is to optimize the delay time provided for the vehicles that could make the system more systematic, by reducing the wastage of idle time.

Tunnel millisecond-delay controlled blasting based on the delay time calculation method and digital electronic detonators to reduce structure vibration effects.

The reasonable delay time of millisecond-delay blasting using digital electronic detonators can significantly reduce the vibration effects induced by tunnel blasting. This study proposes a method for calculating the delay time for cut holes, easer holes and periphery holes, considering the rocks breaking effect as well as wave superposition theory. And then according to the actual layout diagram of the tunnel holes, the delay time calculation formulas of different holes are put forward. Then the delay times were calculated according to the formulas and applied in the field tests. The velocities, rocks breaking and wave superposition cancellation of the vibration using different delay times are analyzed with digital electronic detonators. Then the optimum delay times of different holes were obtained and applied to New Hongyan tunnel project. The velocity and frequency of the vibration with digital electronic detonators are analyzed, compared with non-electronic detonators. The effects of charge and delay time on the velocity and principal frequency of a blasting seismic wave are discussed. The results indicate that the delay time for the holes must be prioritized to achieve breaking effects in the rock with the simultaneous formation of a new free surface, next considering the wave superposition cancellation. When the delay time of cut holes was 5 ms, the rocks breaking effect and wave superposition cancellation effect both worked well. The velocity of the vibration induced by the cut holes blasting was about only 0.46–0.51 cm/s. When the delay time was 6 ms or much longer, the rocks breaking effect would fail. With regard to the easer holes and periphery holes, the optimum delay time of them were all 5ms. The vertical peak particle velocity was reduced from 2.974 cm/s to 0.901 cm/s with digital electronic detonators. Therefore, the velocity had decreased by 69.70% than non-electronic detonators, which was caused by reducing the single simultaneous explosive charge and setting optimum delay time. The proposed delay time calculation method is demonstrated to be sufficiently accurate and can thus be used as a guideline to reduce tunnel blasting vibrations.

Research on Chaotic Time Series Prediction Model for Building Energy Consumption

Aiming the problem that the accuracy of current building energy consumption prediction method depends heavily on environmental parameters (air temperature, air pressure, humidity, etc.), a short-term prediction model of time series building energy consumption based on Chaos-BP is proposed. Firstly, the optimal delay time and embedding dimension of data samples are obtained by CC method. And the small data amount method is used to prove that the building energy consumption has chaotic characteristics. Secondly, the input structure of BP neural network is determined by phase space reconstruction, and again the middle school building is the research object. Finally, the Matlab software is used as the simulation tool to simulate the Chaos-BP prediction model and the BP prediction model respectively. The experimental results show that the building energy consumption has chaotic characteristics. Compared with the BP neural network prediction model, the Chaos-BP model can accurately predict the building energy consumption and provide a scientific basis for the development of building energy conservation work.

Effect of Threshold Voltage Closed Curve on Variation of Voltage and Idle Time in AC PDP

The optimum voltage and delay time were measured to measure Vt closed curve in AC type plasma display panel (AC PDP) regardless of the state of charge in a cell. When the voltages are applied to an AC PDP, the discharge occurs and the wall charges are accumulated on the electrodes of the inner cell. For the next discharge, an appropriate voltage should be applied considering the wall charges. Therefore, it is necessary to measure the discharge start voltage according to the state of the wall charge accumulated in the cell or the structure of the panel and the figure showing the potential difference among the three electrodes in terms of two horizontal and vertical axes is a Vt closed curve. In order to measure the Vt closed curve, the previous wall charges are erased by the high voltage and the remaining priming particles should be removed by the idle time. In this paper, the Vt closed curve according to the change of the erase voltage and the idle time was measured, and the optimal conditions were investigated.

Optimal Time Delay of Epinephrine in One-Per-Mil Solution to Visualize Operation Field

BackgroundThis study aimed to find out the optimal time delay of epinephrine in one-per-mil tumescent solution containing 1:1,000,000 epinephrine and 0.2% lidocaine to achieve optimal visualization in hand surgery. Materials and methodsTwelve healthy male subjects who volunteered to join this prospective, randomized, double blind study were selected with convenient sampling technique. The subject's hand and the solution, either the one-per-mil or normal saline solution, were randomly selected. Injections were given to the ring finger's pulp, whereas the oxygen saturation (SpO2) of each finger was measured with Masimo's Radical-7 Pulse Oximeter at 5 min before injection and continuously up to 45 min after injection. The device showed the SpO2 every 2 s. Any value of SpO2 was noted if it stayed the same point for at least 30 s in a row without interruption. The time of the lowest SpO2 was recorded and analyzed. ResultsThe average of SpO2 after injection in the epinephrine group was 96.5 (95-97), P = 0.002, whereas the normal saline group was 97.5 ± 1.168, P = 0.003. Both were statistically significant compared with their respective baseline values. The average delta SpO2 of the epinephrine group was 3.42 ± 0.996, whereas the normal saline group was 1.50 ± 1.567 (P = 0.001; CI 0.923-2.911). The time to achieve the lowest SpO2 in the epinephrine group was obtained at the average time of 13.90 ± 5.38 min after injection. ConclusionsThe optimal time delay of the epinephrine in the one-per-mil tumescent solution was 13.90 ± 5.38 min after injection.

Multidelay multiparametric arterial spin labeling perfusion MRI and mild cognitive impairment in early stage Parkinson's disease.

Mild cognitive impairment (MCI), a well-defined nonmotor manifestation of Parkinson's disease (PD), greatly impairs functioning and quality of life. However, the contribution of cerebral perfusion, quantified by arterial spin labeling (ASL), to MCI in PD remains poorly understood. The selection of an optimal delay time is difficult for single-delay ASL, a problem which is avoided by multidelay ASL. This study uses a multidelay multiparametric ASL to investigate cerebral perfusion including cerebral blood flow (CBF) and arterial transit time (ATT) in early stage PD patients exhibiting MCI using a voxel-based brain analysis. Magnetic resonance imaging data were acquired on a 3.0 T system at rest in 39 early stage PD patients either with MCI (PD-MCI, N = 22) or with normal cognition (PD-N, N = 17), and 36 age- and gender-matched healthy controls (HCs). CBF and ATT were compared among the three groups with SPM using analysis of variance followed by post hoc analyses to define regional differences and examine their relationship to clinical data. PD-MCI showed prolonged ATT in right thalamus compared to both PD-N and HC, and in right supramarginal gyrus compared to HC. PD-N showed shorter ATT in left superior frontal cortex compared to HC. Prolonged ATT in right thalamus was negatively correlated with the category fluency test (p = .027, r = -0.495) in the PD-MCI group. This study shows that ATT may be a more sensitive marker than CBF for the MCI, and highlights the potential role of thalamus and inferior parietal region for MCI in early stage PD.

Experimental study on minimum ignition energy of tapioca starch

The minimum ignition energy of tapioca starch was studied by using 1.2L Hartmann tube, and the three main influencing factors: tapioca starch quality, ignition delay time and dusting pressure were tested. The experimental results show that the effect of dusting pressure on the minimum ignition energy is the most obvious. With the increase of powder pressure, the minimum ignition energy first decreases and then increases, and when the powder pressure is 90Kpa, the minimum ignition energy is the smallest, which is 58mj; ignition delay time is different, the degree of dust dispersion is different, and the optimum ignition delay time is 30ms. The minimum ignition energy decreases first and then increases with the increase of the quality of tapioca starch. When the mass is 0.5 g, the ignition energy is the smallest. It is 60mJ.

Reliable Delay Based Algorithm to Boost PUF Security Against Modeling Attacks

Silicon Physical Unclonable Functions (sPUFs) are one of the security primitives and state-of-the-art topics in hardware-oriented security and trust research. This paper presents an efficient and dynamic ring oscillator PUFs (d-ROPUFs) technique to improve sPUFs security against modeling attacks. In addition to enhancing the Entropy of weak ROPUF design, experimental results show that the proposed d-ROPUF technique allows the generation of larger and updated challenge-response pairs (CRP space) compared with simple ROPUF. Additionally, an innovative hardware-oriented security algorithm, namely, the Optimal Time Delay Algorithm (OTDA), is proposed. It is demonstrated that the OTDA algorithm significantly improves PUF reliability under varying operating conditions. Further, it is shown that the OTDA further efficiently enhances the d-ROPUF capability to generate a considerably large set of reliable secret keys to protect the PUF structure from new cyber-attacks, including machine learning and modeling attacks.

Optimal Delay Time of CT Perfusion for Predicting Cerebral Parenchymal Hematoma After Intra-Arterial tPA Treatment.

Background and Purpose: Cerebral hemorrhage is a serious potential complication of stroke revascularization, especially in patients receiving intra-arterial tissue-type plasminogen activator (tPA) therapy. We investigated the optimal pre-intervention delay time (DT) of computed tomography perfusion (CTP) measurement to predict cerebral parenchymal hematoma (PH) in acute ischemic stroke (AIS) patients after intra-arterial tissue plasminogen activator (tPA) treatment.Methods: The study population consisted of a series of patients with AIS who received intra-arterial tPA treatment and had CTP and follow-up computed tomography/magnetic resonance imaging (CT/MRI) to identify hemorrhagic transformation. The association of increasing DT thresholds (>2, >4, >6, >8, and >10 s) with PH was examined using receiver operating characteristic (ROC) analysis and logistic regression.Results: Of 94 patients, 23 developed PH on follow-up imaging. Receiver operating characteristic analysis revealed that the greatest area under the curve for predicting PH occurred at DT > 4 s (area under the curve, 0.66). At this threshold of > 4 s, DT lesion volume ≥ 30.85 mL optimally predicted PH with 70% sensitivity and 59% specificity. DT > 4 s volume was independently predictive of PH in a multivariate logistic regression model (P < 0.05).Conclusions: DT > 4 s was the parameter most strongly associated with PH. The volume of moderate, not severe, hypo-perfusion on DT is more strongly associated and may allow better prediction of PH after intra-arterial tPA thrombolysis.

Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows

A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. The proposed technique is validated using coupled chaotic Rössler systems.

An Unambiguous Delay-And-Multiply Acquisition Scheme for GPS L1C Signals.

The GPS provides positioning information almost anytime and anywhere on Earth, regardless of the weather conditions, and has become an essential technology for positioning and navigation. As a modernization program, the fourth civil GPS signal, denoted as L1C, will be transmitted from Block III satellites. One distinction of the L1C signal from the former signals is the use of binary offset carrier (BOC) modulation, which is necessary for compatibility and the reduction of interference between the legacy L1 signal and L1C signal, despite their use of the same carrier frequency. One drawback of using BOC modulation is the ambiguity problem, which comes from the multiple peaks in the correlation function and causes difficulties finding the code phase in the acquisition process. In this paper we suggest two delay-and-multiply (DM) methods for the L1C signal to solve the ambiguity problem. For the DM acquisition schemes we suggest the optimal delay time for the delay signal, and prove that the correlation function of the received DM signal and the generated DM signal has a triangular shape, as seen in the legacy GPS L1 signal. The noise characteristics of the decision variable are obtained and the performance of the DM acquisition scheme is given in terms of the probability of detection, and compared with that of the conventional method. We provide the procedure to find the Doppler frequency after obtaining the code phase through the proposed DM method.

The time delay restraining the herd behavior with Bayesian approach

We explore the herd behavior of stock prices influenced by the time delay in a finance system with the delayed Heston model. On the basis of a Bayesian approach for delayed Heston model that we proposed and parameter Bayesian estimation, we simulate the absolute deviation between mean residence time of positive and negative returns to characterize the herd behavior. In the plots of absolute deviation against the mean reversion long-run variance of volatility or cross correlation between two Wiener processes of stock price and volatility, the results demonstrate an increasing phenomenon of herd behavior with increasing delay time. In the plot of absolute deviation against the amplitude of volatility fluctuations, the result indicates an optimal delay time matching minimum herd behavior, i.e., the time delay restrains the herd behavior. Also, the optimal mean reversion long-run variance of volatility and cross correlation concerning minimum herd behavior can be observed.

Optimal Epinephrine Concentration and Time Delay to Minimize Perfusion in Eyelid Surgery: Measured by Laser-Based Methods and a Novel Form of Extended-Wavelength Diffuse Reflectance Spectroscopy.

This study investigates the hypoperfusion effects of epinephrine in local anesthesia in eyelid surgery. A novel form of extended-wavelength diffuse reflectance spectroscopy was evaluated. Blood perfusion in porcine eyelid flaps was measured using laser Doppler velocimetry and laser speckle contrast imaging, whereas the tissue response was measured using diffuse reflectance spectroscopy with a broad spectrum (450-1550 nm). Epinephrine was either injected cumulatively, 0.1 (1:10,000,000), 1.0 (1:1,000,000), 10 (1:100 000), and 100 μg/ml (1:10 000), to determine the dose-response relation, or given as a single dose (10 μg/ml). Control experiments were performed with saline or lidocaine. Increasing concentrations of epinephrine resulted in a gradual decrease in tissue perfusion, measured by laser Doppler velocimetry and laser speckle contrast imaging, approaching a minimum after the injection of 10 μg/ml. Similar tissue response was observed with diffuse reflectance spectroscopy. The time from the injection of epinephrine (10 μg/ml) to the stabilization of hypoperfusion was 75 seconds. After administration of 10 μg/ml epinephrine, about 20% of the blood perfusion remained, supporting the use of epinephrine in eyelid flaps with a narrow pedicle. 10 μg/ml epinephrine appears to be adequate for vasoconstriction before oculoplastic surgery. Incisions need only be delayed for about 1 minute. Extended-wavelength diffuse reflectance spectroscopy appears to be a promising technique for monitoring the tissue response following changes in blood perfusion in plastic surgery reconstructions. However, more rigorous validation of the technique is required before it can be implemented in clinical practice.