A Side-Peak Cancellation Scheme for Unambiguous BOC Signal Tracking

2015 ◽  
Vol 764-765 ◽  
pp. 462-465
Author(s):  
Keun Hong Chae ◽  
Hua Ping Liu ◽  
Seok Ho Yoon
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Numerical Results ◽  
Tracking Performance ◽  
Side Peak ◽  
Signal Tracking ◽  
Partial Correlations

In this paper, we propose a side-peak cancellation scheme for unambiguous BOC signal tracking. We obtain partial correlations using a pulse model of a BOC signal, and then, we finally obtain an unambiguous correlation function based on the partial correlations. The proposed correlation function is confirmed from numerical results to provide an improved tracking performance over the conventional correlation functions.

Unambiguous Composite BOC Signal Tracking Based on Partitioned Sub-Carriers

2015 ◽  
Vol 764-765 ◽  
pp. 535-539
Author(s):  
Keun Hong Chae ◽  
Hua Ping Liu ◽  
Seok Ho Yoon
Keyword(s):  
Correlation Function ◽  
Standard Deviation ◽  
Tracking Error ◽  
Numerical Results ◽  
Tracking Performance ◽  
Binary Offset Carrier ◽  
Signal Tracking ◽  
Partial Correlations ◽  
Error Standard Deviation

In this paper, we propose an unambiguous signal tracking scheme for composite binary offset carrier (CBOC) signal tracking. First, we obtain partitioned sub-carriers and partial correlations. Based on a recombination of the partial correlations, we propose a novel correlation function without side-peaks. From numerical results, the proposed correlation function is found to offer a better tracking performance than that of the conventional correlation function in terms of the tracking error standard deviation.

A Novel Unambiguous Correlation Function with a High and Sharp Main-Peak for BOC Signal Tracking

2013 ◽  
Vol 479-480 ◽  
pp. 865-869
Author(s):  
Youngseok Lee ◽  
Seong Ro Lee ◽  
Seungsoo Yoo ◽  
Jaewoo Lee ◽  
Jeongyoon Shim ◽  
...  
Keyword(s):  
Correlation Function ◽  
Standard Deviation ◽  
Correlation Functions ◽  
Partial Correlation ◽  
Tracking Error ◽  
Tracking Performance ◽  
Main Peak ◽  
Binary Offset Carrier ◽  
Signal Tracking ◽  
Error Standard Deviation

In this paper, we propose a novel unambiguous correlation function with a high and sharp main-peak for binary offset carrier (BOC) signal tracking. First, we construct a correlation function with a low and narrow main-peak using partial correlation functions. Then, we generate an unambiguous correlation function with a high and sharp main-peak via combinations of the correlation function with the partial correlation functions. From numerical results, it is observed that the proposed unambiguous correlation function with a high and sharp main-peak offers a better tracking performance than the conventional correlation functions with a low and flat main-peak in terms of the tracking error standard deviation.

scholarly journals Azimuthal correlations of prompt D mesons with charged particles in pp and p–Pb collisions at $$\varvec{\sqrt{s_\mathrm{NN}}} = 5.02\ \hbox {TeV}$$

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
S. Acharya ◽  
◽  
D. Adamová ◽  
A. Adler ◽  
J. Adolfsson ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Correlation Function ◽  
Transverse Momentum ◽  
Correlation Functions ◽  
D Mesons ◽  
Charged Particles ◽  
Azimuthal Correlation ◽  
Side Peak ◽  
Azimuthal Correlations ◽  
Nuclear Effects

AbstractThe measurement of the azimuthal-correlation function of prompt D mesons with charged particles in pp collisions at $$\sqrt{s} =5.02\ \hbox {TeV}$$ s = 5.02 TeV and p–Pb collisions at $$\sqrt{s_{\mathrm{NN}}} = 5.02\ \hbox {TeV}$$ s NN = 5.02 TeV with the ALICE detector at the LHC is reported. The $$\mathrm{D}^{0}$$ D 0 , $$\mathrm{D}^{+} $$ D + , and $$\mathrm{D}^{*+} $$ D ∗ + mesons, together with their charge conjugates, were reconstructed at midrapidity in the transverse momentum interval $$3< p_\mathrm{T} < 24\ \hbox {GeV}/c$$ 3 < p T < 24 GeV / c and correlated with charged particles having $$p_\mathrm{T} > 0.3\ \hbox {GeV}/c$$ p T > 0.3 GeV / c and pseudorapidity $$|\eta | < 0.8$$ | η | < 0.8 . The properties of the correlation peaks appearing in the near- and away-side regions (for $$\Delta \varphi \approx 0$$ Δ φ ≈ 0 and $$\Delta \varphi \approx \pi $$ Δ φ ≈ π , respectively) were extracted via a fit to the azimuthal correlation functions. The shape of the correlation functions and the near- and away-side peak features are found to be consistent in pp and p–Pb collisions, showing no modifications due to nuclear effects within uncertainties. The results are compared with predictions from Monte Carlo simulations performed with the PYTHIA, POWHEG+PYTHIA, HERWIG, and EPOS 3 event generators.

An Improved Unambiguous Tracking Technique for CBOC Signals

2014 ◽  
Vol 571-572 ◽  
pp. 853-857
Author(s):  
Hao Liu ◽  
Bing Bing Li ◽  
Zhao Tong ◽  
Yong Tao Hui ◽  
Xing Wang Zhong
Keyword(s):  
Correlation Function ◽  
Autocorrelation Function ◽  
Correlation Functions ◽  
Tracking Performance ◽  
Main Peak ◽  
Two Stage ◽  
Short Delay ◽  
Second Stage ◽  
Tracking Technique ◽  
Unambiguous Tracking

The autocorrelation function of Composite BOC(CBOC) signals has many side-peaks, which leads to the ambiguous problem. To solve this problem, an improved two-stage unambiguous tracking scheme is proposed in this paper. In the first stage, an unambiguous correlation function with narrow main peak is constructed by combining four out of twelve sub-correlation functions. In the second stage, by adding the rest of sub-correlation functions, the final correlation function with sharper and higher main-peak is developed based on the preparatory function from the first step. Numerical results demonstrate that compared to the original methods, the proposed scheme has a better tracking performance and can effectively suppress the short delay multipath.

scholarly journals From correlation functions to event shapes in QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
D. Chicherin ◽  
J. M. Henn ◽  
E. Sokatchev ◽  
K. Yan
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Event Shape ◽  
Proof Of Concept ◽  
Yang Mills ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Event Shapes ◽  
A Charge ◽  
Conserved Currents

Abstract We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.

scholarly journals On the three-dimensional spatial correlations of curved dislocation systems

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Joseph Pierre Anderson ◽  
Anter El-Azab
Keyword(s):  
Correlation Function ◽  
Slip System ◽  
Correlation Functions ◽  
Mean Field ◽  
Coarse Graining ◽  
Dislocation Dynamics ◽  
Coarse Grained ◽  
Spatial Correlation Function ◽  
Line System ◽  
Dislocation Densities

AbstractCoarse-grained descriptions of dislocation motion in crystalline metals inherently represent a loss of information regarding dislocation-dislocation interactions. In the present work, we consider a coarse-graining framework capable of re-capturing these interactions by means of the dislocation-dislocation correlation functions. The framework depends on a convolution length to define slip-system-specific dislocation densities. Following a statistical definition of this coarse-graining process, we define a spatial correlation function which will allow the arrangement of the discrete line system at two points—and thus the strength of their interactions at short range—to be recaptured into a mean field description of dislocation dynamics. Through a statistical homogeneity argument, we present a method of evaluating this correlation function from discrete dislocation dynamics simulations. Finally, results of this evaluation are shown in the form of the correlation of dislocation densities on the same slip-system. These correlation functions are seen to depend weakly on plastic strain, and in turn, the dislocation density, but are seen to depend strongly on the convolution length. Implications of these correlation functions in regard to continuum dislocation dynamics as well as future directions of investigation are also discussed.

scholarly journals A statistical approach to estimate Global Navigation Satellite Systems (GNSS) receiver signal tracking performance in the presence of ionospheric scintillation

2018 ◽  
Vol 8 ◽  
pp. A51 ◽  
Author(s):  
Sreeja Vadakke Veettil ◽  
Marcio Aquino ◽  
Luca Spogli ◽  
Claudio Cesaroni
Keyword(s):  
Statistical Models ◽  
Statistical Approach ◽  
Global Navigation Satellite Systems ◽  
Tracking Performance ◽  
Ionospheric Scintillation ◽  
Navigation Satellite ◽  
Signal Tracking ◽  
Satellite Systems ◽  
Low Latitudes ◽  
Global Navigation Satellite

Ionospheric scintillation can seriously impair the Global Navigation Satellite Systems (GNSS) receiver signal tracking performance, thus affecting the required levels of availability, accuracy and integrity of positioning that supports modern day GNSS based applications. We present results from the research work carried out under the Horizon 2020 European Commission (EC) funded Ionospheric Prediction Service (IPS) project. The statistical models developed to estimate the standard deviation of the receiver Phase Locked Loop (PLL) tracking jitter on the Global Positioning System (GPS) L1 frequency as a function of scintillation levels are presented. The models were developed following the statistical approach of generalized linear modelling on data recorded by networks in operation at high and low latitudes during the years of 2012–2015. The developed models were validated using data from different stations over varying latitudes, which yielded promising results. In the case of mid-latitudes, as the occurrence of strong scintillation is absent, an attempt to develop a dedicated model proved fruitless and, therefore, the models developed for the high and low latitudes were tested for two mid-latitude stations. The developed statistical models can be used to generate receiver tracking jitter maps over a region, providing users with the expected tracking conditions. The approach followed for the development of these models for the GPS L1 frequency can be used as a blueprint for the development of similar models for other GNSS frequencies, which will be the subject of follow on research.

Carrier Tracking Performance Comparison of Standards and the Square-Root Kalman Filter

2012 ◽  
Vol 239-240 ◽  
pp. 1188-1193
Author(s):  
Shao Jie Ni ◽  
Jing Pang ◽  
Xiao Mei Tang ◽  
Fei Xue Wang
Keyword(s):  
Kalman Filter ◽  
Engineering Design ◽  
Performance Comparison ◽  
Tracking Performance ◽  
Square Root ◽  
Signal Tracking ◽  
Tracking Method ◽  
High Carrier ◽  
Comparison Of Standards ◽  
Lock In

In order to solve the problem of loosing lock in weak GPS signal tracking, Kalman filter based carrier tracking method is presented.In this paper,two methods to track the GNSS carrier are compared,one is base on normal Kalman filter, another is based on square-root Kalman filter. The paper analyzes the under performance in the low carrier-to-noise ratio, and the expenditure of the actual project exists, but the high carrier to noise less discussed than the case will appear.The analyse and simulation result can be used to guide the engineering design of the GNSS receiver.

QUANTUM MAGNETIC VORTICES AT FINITE TEMPERATURE IN (3 + 1)-D

2000 ◽  
Vol 15 (11n12) ◽  
pp. 731-735
Author(s):  
E. C. MARINO ◽  
D. G. G. SASAKI
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Large Distance ◽  
Finite Temperature ◽  
Higgs Model ◽  
Magnetic Vortex ◽  
Zero Temperature ◽  
Magnetic Vortices ◽  
Vortex Lines ◽  
Distance Behavior

We study the effect of a finite temperature on the correlation function of quantum magnetic vortex lines in the framework of the (3 + 1)-dimensional Abelian Higgs model. The vortex energy is inferred from the large distance behavior of these correlation functions. For large straight vortices of length L, we obtain that the energy is proportional to TL2 differently from the zero temperature result which is proportional to L. The case of closed strings is also analyzed. For T = 0, we evaluate the correlation function and energy of a large ring. Finite closed vortices do not exist as genuine excitations for any temperature.

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