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.

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 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.

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.

Unambiguous Tracking Technique Based on Combined Correlation Functions for Sine BOC Signals

2018 ◽  
Vol 72 (1) ◽  
pp. 140-154 ◽  
Author(s):  
Tian Li ◽  
Zuping Tang ◽  
Jiaolong Wei ◽  
Zhihui Zhou ◽  
Boyi Wang
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Tracking Accuracy ◽  
Binary Offset Carrier ◽  
Tracking Technique ◽  
Positive Side ◽  
Unambiguous Tracking ◽  
Shift Keying ◽  
Local Reference ◽  
Significant Performance

A new unambiguous tracking technique based on combined correlation functions for sine Binary Offset Carrier (BOC) signals is proposed in this paper. The key to this method is to exploit two types of local reference signals: the BOC signal and a linear combination of a series of BOC signals with different delays. They are both correlated with the received signals. Then, a correlation function without any positive side peaks is obtained by multiplying the two correlation results to make tracking completely unambiguous. Theoretical analysis and simulation in the tracking stage show that the proposed method has the best code tracking accuracy among the method tracking BOC signals like Binary Phase-Shift Keying signals (BPSK-LIKE), the Pseudo correlation function based Unambiguous Delay Lock Loop (PUDLL), Symmetrical Pulse Ambiguity Removing (SPAR) technique, the method proposed by Shen Feng (SF) and the two methods proposed by Yan Tao (YT-V1 and YT-V2). In multipath environments, the proposed method has the best anti-multipath performance of all the tracking methods mentioned above. In conclusion, the proposed method can completely eliminate ambiguity and has significant performance advantages compared with the methods mentioned above.

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.

An Improved Acquisition Method for High-Order BOC-Modulated Signals Based on Fractal Geometry

2013 ◽  
Vol 846-847 ◽  
pp. 1185-1188 ◽  
Author(s):  
Hua Bing Wu ◽  
Jun Liang Liu ◽  
Yuan Zhang ◽  
Yong Hui Hu
Keyword(s):  
Fractal Geometry ◽  
Output Signal ◽  
Signal To Noise Ratio ◽  
High Order ◽  
Main Peak ◽  
Signal To Noise ◽  
Binary Offset Carrier ◽  
Simulation Results ◽  
Modulated Signals ◽  
Acquisition Method

This paper proposes an improved acquisition method for high-order binary-offset-carrier (BOC) modulated signals based on fractal geometry. We introduced the principle of our acquisition method, and outlined its framework. We increase the main peak to side peaks ratio in the BOC autocorrelation function (ACF), with a simple fractal geometry transform. The proposed scheme is applicable to both generic high-order sine-and cosine-phased BOC-modulated signals. Simulation results show that the proposed method increases output signal to noise ratio (SNR).

Sign in / Sign up

Export Citation Format

Share Document