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1

Peng, Hanshu, Zhongliang Wu, and Changsheng Jiang. "Pre-seismic changes of noise correlation function (NCF) before the Wenchuan earthquake?" Concurrency and Computation: Practice and Experience 22, no. 12 (2009): 1774–83. http://dx.doi.org/10.1002/cpe.1517.

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2

Kuponiyi, Ayodeji Paul, and Honn Kao. "Temporal Variation in Cultural Seismic Noise and Noise Correlation Functions during COVID-19 Lockdown in Canada." Seismological Research Letters 92, no. 5 (2021): 3024–34. http://dx.doi.org/10.1785/0220200330.

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Abstract The COVID-19 pandemic of 2020 led to a widespread lockdown that restricted human activities, particularly land, air, and maritime traffic. The “quietness” on land and ocean that followed presents an opportunity to measure an unprecedented reduction in human-related seismic activities and study its effect on the short-period range of ambient noise cross-correlation functions (NCFs). We document the variations in seismic power levels and signal quality of short-period NCFs measured by four seismographs located near Canadian cities across the pandemic-defined timeline. Significant drops
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Hawkins, Rhys, and Malcolm Sambridge. "An Adjoint Technique for Estimation of Interstation Phase and Group Dispersion from Ambient Noise Cross Correlations." Bulletin of the Seismological Society of America 109, no. 5 (2019): 1716–28. http://dx.doi.org/10.1785/0120190060.

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Abstract A method of extracting group and phase velocity dispersions jointly for Love‐ and Rayleigh‐wave observations is presented. This method uses a spectral element representation of a path average Earth model parameterized with density, shear‐wave velocity, radial anisotropy, and VP/VS ratio. An initial dispersion curve is automatically estimated using a heuristic approach to prevent misidentification of the phase. A second step then more accurately fits the observed noise correlation function (NCF) between interstation pairs in the frequency domain. For good quality cross correlations wit
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Jiang, Changsheng, and Zhongliang Wu. "Temporal variation of noise correlation function (NCF) in Beijing and surroundings: Its relation with climate events and implications." Earthquake Science 22, no. 1 (2009): 75–81. http://dx.doi.org/10.1007/s11589-009-0075-5.

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Ragland, John, and Shima Abadi. "Exploring surface source distributions for ocean ambient noise interferometry with airgun shots." Journal of the Acoustical Society of America 151, no. 4 (2022): A190. http://dx.doi.org/10.1121/10.0011063.

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Ambient noise interferometry utilizes the cross-correlations of ambient sound to estimate the time domain Green’s function (TDGF). We have previously shown that ambient noise interferometry can resolve multi-path arrivals between two bottom-mounted hydrophones separated by 3.2 km, at a depth of 1500 m, and located 470 km off the Oregon coast. In 2019, a seismic reflection survey was conducted directly over the two hydrophones for 28 days covering a 763 km2 area. The airgun shots occurred every 37.5 m while the ship moved at a speed of ∼4.5 knots, equivalent to a shooting interval of 16 s. The
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Steinmann, René, Céline Hadziioannou, and Eric Larose. "Effect of centimetric freezing of the near subsurface on Rayleigh and Love wave velocity in ambient seismic noise correlations." Geophysical Journal International 224, no. 1 (2020): 626–36. http://dx.doi.org/10.1093/gji/ggaa406.

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SUMMARY About a decade ago, noise-based monitoring became a key tool in seismology. One of the tools is passive image interferometry (PII), which uses noise correlation functions (NCF) to retrieve seismic velocity variations. Most studies apply PII to vertical components recording oceanic low-frequent ambient noise ( < 1 Hz). In this work, PII is applied to high-frequent urban ambient noise ( > 1 Hz) on three three-component sensors. With environmental sensors inside the subsurface and in the air, we are able to connect observed velocity variations with environmental parameters.
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Tian, Jinyu, Jian Lin, Fan Zhang, et al. "Time Correction of Ocean-Bottom Seismometers Using Improved Ambient Noise Cross Correlation of Multicomponents and Dual-Frequency Bands." Seismological Research Letters 92, no. 3 (2021): 2004–14. http://dx.doi.org/10.1785/0220200358.

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Abstract An effective approach was developed for identifying and correcting ocean-bottom seismometer (OBS) time errors through improving ambient noise cross-correlation function (NCCF) analysis and combination with other methods. Significant improvements were illustrated through analyzing data from a passive-source seismic experiment in the southwestern sub-basin of the South China Sea. A novel method was first developed that can effectively identify errors in the sampling frequency of the OBS instruments. The traditional NCCF method was then expanded by increasing the analyzed data spectrum f
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Cheng, Wei, Lintao Liu, and Guocheng Wang. "A new method for estimating the correlation of seismic waveforms based on the NTFT." Geophysical Journal International 226, no. 1 (2021): 368–76. http://dx.doi.org/10.1093/gji/ggab047.

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SUMMARY We propose a new correlation function called the similarity coefficient (SC) based on the normal time–frequency transform (NTFT) to evaluate the similarity between two non-stationary seismic signals as a function of the delay time. The SC is defined in the time–frequency spectrum of the NTFT, and the instantaneous phase and amplitude of each frequency component in a signal are used to calculate the SC. Our simulation experiments demonstrate that the SC method can effectively recognize similar signals compared to the conventional normalized cross-correlation coefficient (NCC) under high
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Wang, Jian, Xiaolei Lv, Zenghui Huang, and Xikai Fu. "An Epipolar HS-NCC Flow Algorithm for DSM Generation Using GaoFen-3 Stereo SAR Images." Remote Sensing 15, no. 1 (2022): 129. http://dx.doi.org/10.3390/rs15010129.

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Radargrammetry is a widely used methodology to generate the large-scale Digital Surface Model (DSM). Stereo matching is the most challenging step in radargrammetry due to the significant geometric differences and the inherent speckle noise. The speckle noise results in significant grayscale differences of the same feature points, which makes the traditional Horn–Schunck (HS) flow or multi-window zero-mean normalized cross-correlation (ZNCC) methods degrade. Therefore, this paper proposes an algorithm named Epipolar HS-NCC Flow (EHNF) for dense stereo matching, which is an improved HS flow meth
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10

Perez-Cham, Oscar E., Cesar Puente, Carlos Soubervielle-Montalvo, Gustavo Olague, Carlos A. Aguirre-Salado, and Alberto S. Nuñez-Varela. "Parallelization of the Honeybee Search Algorithm for Object Tracking." Applied Sciences 10, no. 6 (2020): 2122. http://dx.doi.org/10.3390/app10062122.

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Object tracking refers to the relocation of specific objects in consecutive frames of a video sequence. Presently, this visual task is still considered an open research issue, and the computer science community attempted solutions from the standpoint of methodologies, algorithms, criteria, benchmarks, and so on. This article introduces a GPU-parallelized swarm algorithm, called the Honeybee Search Algorithm (HSA), which is a hybrid algorithm combining swarm intelligence and evolutionary algorithm principles, and was previously designed for three-dimensional reconstruction. This heuristic inspi
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Dr. R. Balasubrimanian, V. Belmer Gladson,. "A Novel Fuzzy Inference System Based Robust Reversible Watermarking Technique provided with Six Layer Security." INFORMATION TECHNOLOGY IN INDUSTRY 9, no. 2 (2021): 661–78. http://dx.doi.org/10.17762/itii.v9i2.398.

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Digital Watermarking has evolved as one of the latest technologies for digital media copyright protection. Watermarking of images can be done in many ways and one of the proposed algorithms for image watermarking is by utilizing Fuzzy Logic. It is similar to the concept of a Fuzzy set, each element can be defined by an ordered pair, in which one is the value and other is the membership function value. Fuzzy logic systems can explain inaccurate information and explain their decisions. Fuzzy inference system is the simplest way of performing Fuzzy Logic. In the proposed method, three Fuzzy infer
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Agrawal, Sushama, and Anjali Bhalchandra. "Firefly optimized robust, imperceptible, secure watermarking scheme." Indonesian Journal of Electrical Engineering and Computer Science 28, no. 2 (2022): 1155. http://dx.doi.org/10.11591/ijeecs.v28.i2.pp1155-1163.

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A multi-objective optimized hybrid image watermarking technique is being proposed considering robustness, imperceptibility and security aspects using two different scaling factors. In this technique, original image is subjected to third level lifting wavelet transform (LWT) followed by singular value decomposition (SVD). Watermark is split into two parts to embed each of them into a different subband. In the suggested scheme, firefly algorithm is employed to get optimum solutions for two scaling factors to balance trade-off amid invisibility and robustness. Security in digitized data is an imp
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13

Li, J., S. M. Bentzen, M. Renschler, and M. P. Mehta. "Improvement in neurocognitive function (NCF) correlates with tumor regression after whole brain radiation therapy (WBRT) for brain metastases (BM)." Journal of Clinical Oncology 24, no. 18_suppl (2006): 1504. http://dx.doi.org/10.1200/jco.2006.24.18_suppl.1504.

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1504 Background: Few prospective trials have explored the neurocognitive impact of WBRT in BM patients (pts), complicated by competing effects between benefit from WBRT and deterioration due to disease progression. Methods: 208 pts from the WBRT alone arm (30 Gy) of a phase III trial (PCYC-9801) evaluating motexafin gadolinium in BM were analyzed. NCF was assessed by 8 tests of memory, executive function and fine motor coordination, and correlated to BM volume change by MRI, using Spearman’s rank correlation. Pts with tumor shrinkage below and above the median (45%) were compared for survival
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14

Zarrella, Giuliana, Michael Parsons, Janet Sherman, Jorg Dietrich, and Helen Shih. "NCOG-20. LONGITUDINAL ASSESSMENT OF SUBJECTIVE COGNITIVE FUNCTION IN ADULTS WITH LOW GRADE GLIOMA TREATED WITH PROTON RADIATION THERAPY." Neuro-Oncology 23, Supplement_6 (2021): vi156. http://dx.doi.org/10.1093/neuonc/noab196.611.

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Abstract INTRODUCTION Our group previously demonstrated stability in neurocognitive function (NCF) over a 5-year period after proton radiation therapy (PRT) in low grade glioma (LGG) patients. Subjective cognitive function (SCF) had not been previously explored, nor had individual analyses of cognition, which can detect variability in trajectory. We used the newly derived Functional Assessment of Cancer Therapy-Brain Cognitive-Index (FACT-Br-CI) to examine SCF in LGG patients after PRT and compare longitudinal changes in SCF and NCF. METHODS 20 LGG patients (M age =37.5) treated with PRT compl
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15

Makarewicz, Aleksandra, Małgorzata Jamka, Maria Wasiewicz-Gajdzis, et al. "Comparison of Subjective and Objective Methods to Measure the Physical Activity of Non-Depressed Middle-Aged Healthy Subjects with Normal Cognitive Function and Mild Cognitive Impairment—A Cross-Sectional Study." International Journal of Environmental Research and Public Health 18, no. 15 (2021): 8042. http://dx.doi.org/10.3390/ijerph18158042.

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This study compared subjective and objective methods of measuring different categories of physical activity in non-depressed middle-aged subjects with normal cognitive function (NCF) and mild cognitive impairment (MCI). In total, 75 participants (NCF: n = 48, MCI: n = 27) were recruited and physical activity was assessed for seven days using the ActiGraph and the International Physical Activity Questionnaire (IPAQ). Anthropometric parameters, body compositions, resting metabolic rate, and energy expenditure were also assessed. ActiGraph data indicated that subjects with NCF were more active th
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Gardner, Melissa, Giuliana Zarrella, Jorg Dietrich, and Michael Parsons. "NCOG-48. LONGITUDINAL ASSESSMENT OF SUBJECTIVE COGNITIVE FUNCTION IN A BRAIN TUMOR SAMPLE: IMPROVED CORRESPONDENCE WITH NEUROPSYCHOLOGICAL PERFORMANCE OVER TIME." Neuro-Oncology 23, Supplement_6 (2021): vi162. http://dx.doi.org/10.1093/neuonc/noab196.637.

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Abstract INTRODUCTION Estimates of subjective cognitive function (SCF) generally show minimal correlation with objective measures of neurocognitive function (NCF). Our group recently validated a new metric of SCF in neuro-oncology patients, creating the Cognitive Index of the Functional Assessment of Cancer Therapy-Brain (FACT-Br-CI). This study examines whether brain tumor (BT) patients evaluated on more than one occasion show improved relationship between SCF and NCF. We hypothesized that change scores in SCF and NCF across evaluation would be more highly correlated than SCF and NCF at eithe
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17

Hooge, F. N., and P. A. Bobbert. "On the correlation function of 1/f noise." Physica B: Condensed Matter 239, no. 3-4 (1997): 223–30. http://dx.doi.org/10.1016/s0921-4526(97)00332-3.

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18

Yanovskaya, T. B., and T. Yu Koroleva. "Effect of earthquakes on ambient noise cross-correlation function." Izvestiya, Physics of the Solid Earth 47, no. 9 (2011): 747–56. http://dx.doi.org/10.1134/s1069351311090059.

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19

Skarsoulis, Emmanuel, and Bruce Cornuelle. "Green’s function emergence through cross-correlation of shipping noise." Journal of the Acoustical Society of America 144, no. 3 (2018): 1731. http://dx.doi.org/10.1121/1.5067677.

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20

Aliev, T. A., N. F. Musaeva, Q. A. Quluyev, and N. E. Rzayeva. "Technologies for Analyzing and Calculating the Relationship between the Useful Component and the Noise of Noisy Signal in Monitoring Systems." Mekhatronika, Avtomatizatsiya, Upravlenie 23, no. 12 (2022): 628–36. http://dx.doi.org/10.17587/mau.23.629-636.

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The article is devoted to the development of algorithms for calculating the cross-correlation function and the correlation coefficient between the useful signal and the noise of a noisy signal. The authors analyze the factors influencing the adequacy of the results of solving the problems of monitoring, control, management, etc. It is noted that when processing noisy signals, algorithms and technologies for separate processing of the useful component and the noise should be used. It is shown that in the event of malfunctions, such an important condition as the absence of correlation between th
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21

Wang, Zhong-long, Li Cao, and Jun-lin Qiu. "Correlation Function and Time-Dependent Moments of the Intensity for Gain-Noise Model of a Single-Mode Laser with Exponential Function Correlation Noise." Chinese Physics Letters 15, no. 7 (1998): 498–500. http://dx.doi.org/10.1088/0256-307x/15/7/011.

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22

WANG, CAN-JUN, and DONG-CHENG MEI. "THE RELAXATION TIME AND THE CORRELATION FUNCTION FOR A LOGISTIC GROWTH SYSTEM DRIVEN BY COLORED CROSS-CORRELATION NOISES." Fluctuation and Noise Letters 08, no. 02 (2008): L213—L228. http://dx.doi.org/10.1142/s0219477508004398.

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The associated relaxation time Tc and the normalized correlation function C(s) are investigated in the logistic growth system, which is used to describe a tumor cell growth process, driven by two Gaussian white noise sources and the correlation between the additive and multiplicative noise. The expression of Tc and C(s), which is the function of noise parameters (additive noise intensity α, multiplicative noise intensity D, correlation intensity λ and correlation time τ), is obtained by using the projection operator method. After introducing noise intensity ratio, a dimensionless parameter R =
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Ohtsubo, J., and M. Kourogi. "Frequency correlation function of modal noise in multimode optical fibers." Journal of Lightwave Technology 7, no. 9 (1989): 1300–1307. http://dx.doi.org/10.1109/50.50708.

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24

Cheng, Qing-Hua, Li Cao, Da-Hai Xu, and Da-Jin Wu. "Influence of Noise on Time Evolution of Intensity Correlation Function." Communications in Theoretical Physics 44, no. 5 (2005): 867–72. http://dx.doi.org/10.1088/6102/44/5/867.

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25

Muhammad, Ghulam. "Noise-Robust Pitch Detection using Auto-correlation Function with Enhancements." Journal of King Saud University - Computer and Information Sciences 22 (2010): 13–28. http://dx.doi.org/10.1016/s1319-1578(10)80002-3.

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26

Dumusque, Xavier, Cristophe Lovis, Stephane Udry, and Nuno C. Santos. "Stellar noise and planet detection. II. Radial-velocity noise induced by magnetic cycles." Proceedings of the International Astronomical Union 6, S276 (2010): 530–32. http://dx.doi.org/10.1017/s1743921311021090.

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AbstractFor the 451 stars of the HARPS high precision program, we study correlations between the radial-velocity (RV) variation and other parameters of the Cross Correlated Function (CCF). After a careful target selection, we found a very good correlation between the slope of the RV-activity index (log(R'HK)) correlation and the Teff for dwarf stars. This correlation allow us to correct RV from magnetic cycles given the activity index and the Teff.
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Mahmoudzadeh, Amir Pasha, and Nasser H. Kashou. "Evaluation of Interpolation Effects on Upsampling and Accuracy of Cost Functions-Based Optimized Automatic Image Registration." International Journal of Biomedical Imaging 2013 (2013): 1–19. http://dx.doi.org/10.1155/2013/395915.

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Interpolation has become a default operation in image processing and medical imaging and is one of the important factors in the success of an intensity-based registration method. Interpolation is needed if the fractional unit of motion is not matched and located on the high resolution (HR) grid. The purpose of this work is to present a systematic evaluation of eight standard interpolation techniques (trilinear, nearest neighbor, cubic Lagrangian, quintic Lagrangian, hepatic Lagrangian, windowed Sinc, B-spline 3rd order, and B-spline 4th order) and to compare the effect of cost functions (least
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Aliev, Telman, and Nailya Musaeva. "TECHNOLOGIES FOR CALCULATING THE CORRELATION COEFFICIENT BETWEEN THE USEFUL SIGNAL AND THE NOISE USING THE ESTIMATE OF THEIR RELAY CROSS-CORRELATION FUNCTION." Journal of Automation and Information sciences 5 (September 1, 2021): 93–103. http://dx.doi.org/10.34229/1028-0979-2021-5-8.

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It is shown that when noisy signals are formed, the condition for the absence of correlation between the useful signal and the noise is often violated. This causes certain errors of correlation analysis of these signals, resulting in the inadequacy of the results obtained. In addition, the existing correlation analysis technologies do not allow using the noise as a carrier of valuable information. Therefore, the full use of the colossal information potential of noisy signals requires new technologies that would exclude the loss of valuable information, both when the known classical conditions
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Ng, Kin-Wang. "Correlation Functions of CMB Anisotropy and Polarization." Symposium - International Astronomical Union 183 (1999): 104. http://dx.doi.org/10.1017/s0074180900132231.

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While the temperature anisotropy of the cosmic microwave background is proved to be a promising tool for probing the early Universe, the CMB polarization is another important clue for extracting more cosmic information. We give a full analysis of the auto- and cross-correlations between the CMB Stokes parameters. In particular, we derive the windowing function for an antenna with Gaussian response in polarization experiment, and construct correlation function estimators corrected for instrumental noise. They are applied to calculate the signal to noise ratios for future MAP and Planck anisotro
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Cornuelle, Bruce D., and Emmanuel K. Skarsoulis. "Peak-time sensitivity kernels for noise cross-correlation envelopes." Journal of the Acoustical Society of America 151, no. 4 (2022): 2353–66. http://dx.doi.org/10.1121/10.0010044.

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The envelope of the time-lagged cross-correlation of an underwater noise field between two hydrophones can under certain conditions be used as a proxy for active acoustic receptions between the two locations enabling the study of ocean variability. Previous work looked at the sensitivity of cross-correlation peak amplitudes with respect to the distribution of the noise sources. The present study examines the sensitivity of the cross-correlation envelope peak times with respect to changes in the sound-speed distribution. A wave-theoretic scheme allowing for finite-frequency calculations in two
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31

Song, Seong Jun, Hyun Joon Shim, Chul Ho Park, Seong Hee Lee, and Sang Won Yoon. "Analysis of Correlation between Cognitive Function and Speech Recognition in Noise." Korean Journal of Otorhinolaryngology-Head and Neck Surgery 53, no. 4 (2010): 215. http://dx.doi.org/10.3342/kjorl-hns.2010.53.4.215.

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32

Cohn, J. D. "Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise." New Astronomy 11, no. 4 (2006): 226–39. http://dx.doi.org/10.1016/j.newast.2005.08.002.

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33

Campillo, Michel, Laurent Stehly, Nikolai Shapiro, and Mike Ritzwoller. "Correlation in ambient seismic noise and the reconstruction of Green function." Journal of the Acoustical Society of America 117, no. 4 (2005): 2393. http://dx.doi.org/10.1121/1.4785865.

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Padoan, Paolo, Erik W. Rosolowsky, and Alyssa A. Goodman. "The Effects of Noise and Sampling on the Spectral Correlation Function." Astrophysical Journal 547, no. 2 (2001): 862–71. http://dx.doi.org/10.1086/318378.

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Zhang, Wei, Jin Fang Cheng, and Jie Xu. "Suppression of Single Vector Hydrophone Coherent-Noise Based on the Cross-SCF." Advanced Materials Research 588-589 (November 2012): 948–52. http://dx.doi.org/10.4028/www.scientific.net/amr.588-589.948.

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At present the cross-correlation processing can only suppress the isotropic noise by vector hydrophone sound pressure and vibration velocity combined. The coherent composition of the actual ambient noise makes the detection ability of cross-correlation spectrum reduced. Use XWVD theory, proposed a cross symmetry-correlation function (Cross-SCF). Analysis of simulation data under different SNR and Different nature noise combination proving that the noise suppression Performance of suggested Cross-SCF has nothing to do with noise properties, and compared with the cross-correlation processing hav
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Wang, G., T. L. Rhodes, and W. A. Peebles. "Analysis method for calculating radial correlation length of electron temperature turbulence from correlation electron cyclotron emission radiometer." Review of Scientific Instruments 93, no. 11 (2022): 113511. http://dx.doi.org/10.1063/5.0101680.

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The radial correlation length ( L r) is one of the essential quantities to measure in order to more fully characterize and understand turbulence and anomalous transport in magnetic fusion plasmas. The analysis method for calculating L r of electron temperature (Te) turbulence from correlation electron cyclotron emission (correlation ECE or CECE) radiometer measurements has not been fully developed partly due to the fact that the turbulent electron temperature fluctuations are generally imbedded in much larger amplitude thermal noise, which leads to a greatly reduced cross correlation coefficie
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NG, KIN-WANG, and GUO-CHIN LIU. "CORRELATION FUNCTIONS OF CMB ANISOTROPY AND POLARIZATION." International Journal of Modern Physics D 08, no. 01 (1999): 61–83. http://dx.doi.org/10.1142/s0218271899000079.

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We give a full analysis of the auto- and cross-correlations between the Stokes parameters of the cosmic microwave background. In particular, we derive the windowing function for an antenna with Gaussian response in polarization experiment, and construct correlation function estimators corrected for instrumental noise. They are applied to calculate the signal to noise ratios for future anisotropy and polarization measurements. While the small-angular-scale anisotropy-polarization correlation would be likely detected by the MAP satellite, the detection of electric and magnetic polarization would
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Li, Jiangtao, Richard L. Weaver, John Y. Yoritomo, and Xiaodong Song. "Application of temporal reweighting to ambient noise cross-correlation for improved seismic Green's function." Geophysical Journal International 221, no. 1 (2020): 265–72. http://dx.doi.org/10.1093/gji/ggaa001.

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SUMMARY Due to the partly diffuse character of ambient noise, the retrieval of amplitude information and attenuation from noise cross-correlations has been difficult. Here, we apply the temporal reweighting method proposed by Weaver & Yoritomo to seismic data from the USArray in the central-midwest US. The results show considerable improvements in retrieved Green's functions in both symmetry and causality. The reweighting is able to make the effective incident noise field more isotropic (though not yet truly isotropic). It produces more robust amplitude measurements and also makes both the
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Taylor, Sheldon, Owen Sharpe, and Jiju Peethambaran. "Prime gradient noise." Computational Visual Media 7, no. 3 (2021): 349–62. http://dx.doi.org/10.1007/s41095-021-0206-z.

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AbstractProcedural noise functions are fundamental tools in computer graphics used for synthesizing virtual geometry and texture patterns. Ideally, a procedural noise function should be compact, aperiodic, parameterized, and randomly accessible. Traditional lattice noise functions such as Perlin noise, however, exhibit periodicity due to the axial correlation induced while hashing the lattice vertices to the gradients. In this paper, we introduce a parameterized lattice noise called prime gradient noise (PGN) that minimizes discernible periodicity in the noise while enhancing the algorithmic e
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Fa, Kwok Sau. "Fractional oscillator noise and its applications." International Journal of Modern Physics B 34, no. 26 (2020): 2050234. http://dx.doi.org/10.1142/s0217979220502343.

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It is shown that a fractional oscillator (FO) noise, which is a generalization of the ordinary overdamped linear oscillator driven by the white noise may be ‘applied to diverse systems; its stationary correlation function presents power-law-like function, exponential-like function, exponential function, and oscillatory decays. The model may be employed to describe the fluctuation of the distance between a fluorescein–tyrosine pair within a single protein complex and the internal dynamics of a lysozyme molecule in solution. It also has the possibility of describing a Brownian particle in an osc
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Li, Li, and Mingyan He. "A Robust DOA Estimation Based on Sigmoid Transform in Alpha Stable Noise Environment." MATEC Web of Conferences 173 (2018): 02006. http://dx.doi.org/10.1051/matecconf/201817302006.

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To suppress alpha-stable noise and co-channel interference, this paper defines a novel cyclic correlation function, and proposes a new MUSIC algorithm based on sigmoid cyclic correlation function. Furthermore, the proposed algorithm (SCC-MUSIC) is applied to estimate direction of arrival (DOA) in alpha stable distribution noise. Simulation results demonstrate that the proposed SCC-MUSIC can get a better performance than several existing algorithms especially in the highly impulsive noise environments.
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Воловач, В. И. "Mathematical modeling of the correlation function and the energy spectra of the noise modulation function." Informacionno-technologicheskij vestnik, no. 1(27) (March 15, 2021): 77–92. http://dx.doi.org/10.21499/2409-1650-2021-27-1-77-92.

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Рассмотрены и проанализированы вопросы, связанные с математическим моделированием корреляционных функций и энергетических спектров функции помеховой модуляции. Показано, что при воздействии на сигнал узкополосной мультипликативной помехи в энергетическом спектре функции помеховой модуляции присутствует дискретная составляющая, мощность которой зависит от глубины фазовых искажений. При импульсно-флуктуационной модулирующей помехе с детерминированным тактовым интервалом энергетический спектр функции помеховой модуляции представляет собой сумму непрерывной и дискретной частей. The issues related
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Sabra, Karim G., Philippe Roux, and W. A. Kuperman. "Emergence rate of the time-domain Green’s function from the ambient noise cross-correlation function." Journal of the Acoustical Society of America 118, no. 6 (2005): 3524–31. http://dx.doi.org/10.1121/1.2109059.

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Sabra, Karim, Philippe Roux, Peter Gerstoft, and W. A. Kuperman. "Emergence rate of the time‐domain Green’s function from the ambient noise cross‐correlation function." Journal of the Acoustical Society of America 118, no. 3 (2005): 1845–46. http://dx.doi.org/10.1121/1.4809069.

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Badillo, Inari, and Joaquín Portilla. "Experimental Study of AM and PM Noise in Cascaded Amplifiers." Electronics 11, no. 3 (2022): 470. http://dx.doi.org/10.3390/electronics11030470.

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An experimental study of amplitude modulation (AM) and phase modulation (PM) noise spectra in cascaded amplifiers was carried out as a function of the number of amplification stages and the input power. Flicker and white noise contributions were determined, as well as effective noise figure (NF) from AM and PM noise spectra from small-signal to large-signal regimes. Simultaneous measurements of AM and PM noise were performed, and associated correlation was measured as a function of the offset frequency from the carrier. Measurements exhibited, in general, quite low AM–PM correlation levels bot
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Dou, Yuzi, and Sen Li. "Kernel Function-Based Ambiguity Function and Its Application on DOA Estimation in Impulsive Noise." Sensors 22, no. 18 (2022): 6996. http://dx.doi.org/10.3390/s22186996.

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To solve the problem that the traditional ambiguity function cannot well reflect the time-frequency distribution characteristics of linear frequency modulated (LFM) signals due to the presence of impulsive noise, two robust ambiguity functions: correntropy-based ambiguity function (CRAF) and fractional lower order correntropy-based ambiguity function (FLOCRAF) are defined based on the feature that correntropy kernel function can effectively suppress impulsive noise. Then these two robust ambiguity functions are used to estimate the direction of arrival (DOA) of narrowband LFM signal under an i
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ZHAO, G. H., Y. L. XIANG, and D. C. MEI. "EFFECTS OF CORRELATION BETWEEN REAL AND IMAGINARY PARTS OF THE QUADRATIC PUMP NOISE ON THE INTENSITY FLUCTUATION OF A SINGLE-MODE LASER SYSTEM." Modern Physics Letters B 23, no. 02 (2009): 155–61. http://dx.doi.org/10.1142/s0217984909017856.

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The effects of the correlations between real and imaginary parts of the quadratic pump noise on the normalized intensity correlation function and the associated relaxation time of a single-mode laser model were investigated. The expressions of the intensity correlation function C(s) and the relaxation time Tc were derived. Based on numerical computations, we found that Tc monotonously increases as the strength λp of correlation between the real and imaginary parts of quadratic pump noise increases and the larger λp value is, the slower C(s) decays. The presence of correlations between the real
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Miles, Jeffrey Hilton. "Separating Direct and Indirect Turbofan Engine Combustion Noise Using the Correlation Function." Journal of Propulsion and Power 26, no. 5 (2010): 1144–52. http://dx.doi.org/10.2514/1.48908.

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Farah, George N., and Benjamin Lindner. "Exponentially distributed noise—its correlation function and its effect on nonlinear dynamics." Journal of Physics A: Mathematical and Theoretical 54, no. 3 (2020): 035003. http://dx.doi.org/10.1088/1751-8121/abd2fd.

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Becker, V., and H. K. Janssen. "Current-current correlation function in a driven diffusive system with nonconserving noise." Physical Review E 50, no. 2 (1994): 1114–22. http://dx.doi.org/10.1103/physreve.50.1114.

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