Two-dimensional OLCT of angularly periodic functions in polar coordinates

Zhao, Hui; Li, Bing‐Zhao

doi:10.1016/j.dsp.2022.103905

Cited by 5 publications

(3 citation statements)

References 32 publications

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“…This includes the arrival time method, relative arrival time method [3], angle of arrival method [4], signal strength-based ranging methods [5], and their hybrid algorithms. It can be useful to transform the UAV positioning into the least square [6] problem and thus better go about pinpointing the UAV orientation. It is easy to implement, and the analytical solution of the measured unmanned position can be obtained.…”

Section: Methods Introductionmentioning

confidence: 99%

Unmanned aerial vehicle passive positioning technology based on cross-location and target splitting

Wang

Yang

et al. 2023

J. Phys.: Conf. Ser.

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In order to ensure that the UAV fleet can maintain maximum electromagnetic silence and minimise the emission of UAV electromagnetic signals during formation flight, a theoretical method of pure azimuth passive positioning can be used to optimise their relative positions. This paper analyses different formation situations of UAVs and presents the best solution for pure azimuth passive positioning of UAVs in formation flight and the corresponding positions. The paper first establishes polar coordinates based on known orientation information. It uses the sine theorem for triangles in the plane and the joint cubic equations to obtain the final result. It then uses triangulation to verify the accuracy of the specific location of the UAV by solving a least squares problem. Using the idea of cross-location, two intersecting trajectories are constructed and their intersection is used to improve the specific position of the UAV. Due to the bias in the position of the location of the signal sent by the UAV, this paper uses of the idea of target segmentation to split the target into multiple sub-targets and implement them separately. This is done in order to avoid the need for more UAVs to send their signal while adjusting the UAV position, making the Drones evenly spaced around a circumference.

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Section: Methods Introductionmentioning

confidence: 99%

Unmanned aerial vehicle passive positioning technology based on cross-location and target splitting

Wang

Yang

et al. 2023

J. Phys.: Conf. Ser.

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“…This process begins by determining the coordinates of the midpoint points inside each angular area. The determination of the coordinates is indicated by Equation 3 [43].…”

Section: B the Determination Of Angular Area Labels For Eachmentioning

confidence: 99%

LEACH Protocol with Angular Area Routing: Boosting Energy Efficiency and QoS in Wireless Sensor Networks

Haidar Hari,

Sholihul Hadi,

Sujito

2024

IJCDS

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Wireless Sensor Networks (WSNs) stand as a vital component in contemporary wireless technology. The endurance of nodes within WSNs significantly influences system efficiency. This study delves into five energy management and node longevity strategies: Low Energy Adaptive Clustering Hierarchy (LEACH), LEACH-C, TS-I-LEACH, LEACH-Enh-DVHOP, and an original method proposed herein. Graphical analysis underscores the marked enhancement of the proposed method in sustaining active nodes over rounds, notably in initial phases compared to other methods. A pivotal innovation lies in employing angular area-based routing, augmenting resource allocation and energy efficiency. Moreover, the study introduces a node's probability to serve as a Cluster Head (CH), leveraging the refined threshold formula "T A(i)," contingent on its distance from the base station and the midpoint of the represented zone, denoted by "δ(i)". This approach offers a novel means to bolster node longevity in WSNs while optimizing energy usage. Furthermore, the study evaluates the time required to reach the point where all nodes are depleted of energy, referred to as the "All Node Die" metric, against the number of rounds (r). LEACH-Enh-DVHOP (the previous study) exhibits a 63.14% increase in energy efficiency over LEACH Original, while in this study, Proposed (This Paper) demonstrates a 3.10% improvement over LEACH-Enh-DVHOP. Additionally, an enhancement in Quality of Service (QoS) is observed. The packet delivery ratio increases by 200% compared to LEACH Original for LEACH-Enh-DVHOP and by 383.3% for Proposed (This Paper) compared to LEACH-Enh-DVHOP (previous study). The study's outcomes are poised to advance WSN technology in the future significantly, redefining energy management paradigms and enriching node sustainability in wireless networks.

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“…In recent years, researchers have conducted in-depth studies on the convolution theorems for different transforms, and have obtained a large number of theoretical results. [15][16][17][18][19][20][21][22][23] Although some scholars have studied the convolution theorems of the LCWT, 21,22 its convolution theory is still immature, which limits the in-depth development of the LCWT.…”

Section: Introductionmentioning

confidence: 99%

New convolution and correlation theorems for the linear canonical wavelet transform

Zhao,

2024

Fifteenth International Conference on Signal Processing Systems (ICSPS 2023)

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The linear canonical wavelet transform (LCWT) is the generalization of the classical wavelet transform (WT) and the linear canonical transform (LCT). It has been proven to be a powerful mathematical tool and is widely used in signal processing, image processing, optics, and other fields. However, some basic results of this transform are not yet mature, such as convolution and correlation theorems. Therefore, this paper discusses the convolution and correlation theorems of the LCWT. Firstly, we review the basic theory of the WT, the LCT, and the LCWT. Secondly, we define the new convolution and correlation operators, and deduce the convolution and correlation theorems of the LCWT. The results show that they are similar in other joint space/spatial-frequency or time/frequency representations. Finally, we give the filter design method of the proposed convolution theorem in the LCWT domain, which provides us with more possibilities to consider performing spatially varying filtering operations in the LCWT domain.

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Two-dimensional OLCT of angularly periodic functions in polar coordinates

Cited by 5 publications

References 32 publications

Unmanned aerial vehicle passive positioning technology based on cross-location and target splitting

Unmanned aerial vehicle passive positioning technology based on cross-location and target splitting

LEACH Protocol with Angular Area Routing: Boosting Energy Efficiency and QoS in Wireless Sensor Networks

New convolution and correlation theorems for the linear canonical wavelet transform

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