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Journal articles on the topic 'Piconet'

Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

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1

SUN, MIN-TE, SHAOYONG WANG, CHUNG-KUO CHANG, TEN-HWANG LAI, HIROYUKI SAWATARI, and HIROMI OKADA. "INTERFERENCE-MITIGATING MAC SCHEDULING AND SAR POLICIES FOR BLUETOOTH SCATTERNETS." Journal of Circuits, Systems and Computers 13, no. 02 (April 2004): 387–98. http://dx.doi.org/10.1142/s0218126604001374.

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Bluetooth utilizes fast frequency hopping to mitigate interference from other wireless devices and other Bluetooth piconets that share the same frequency range. However, it still cannot avoid the interference between piconets entirely. In our simulation, we observed that the inter-piconet interference can significantly degrade the system throughput by more than 10%. The system throughput within a piconet can be improved by a proper arrangement of the segmentation/reassembling (SAR) policy and a good selection of MAC scheduling protocols. Many SAR policies and MAC scheduling protocols were proposed, but none of them takes the inter-piconet interference into consideration. In this paper, we study the impact of the interference on the performance of TCP traffic over a Bluetooth scatternet with multiple overlapping piconets. To alleviate the impact, we propose interference-aware SAR policies as well as the interference-aware MAC scheduling protocols. The simulation results show that our schemes help reduce the impact of the inter-piconet interference by more than 15%.

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2

Veluri, Ravi Kishore. "Performance Metrics for Bluetooth Scatternet Scheduling Using Relays." International Journal for Research in Applied Science and Engineering Technology 9, no. 12 (December 31, 2021): 1996–2001. http://dx.doi.org/10.22214/ijraset.2021.39673.

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Abstract: While various ad hoc mobile wireless networks are already accessible, Bluetooth is one of the most up-to-date. A single-hop connection known as piconet is a simple Bluetooth communication architecture, allowing for just eight functioning electronic equipment, seven of which are operational slaves under a single master. A common hub called a relay links a huge network named Scatternet to a number of piconets. The efficacy of Scatternet design is clearly intrinsically connected to the effectiveness of relay nodes. Because every relay has several piconet transactions to process and manage, a reduction in the number of switches might lead to poor performance instead. The major aim of this research is to examine performance characteristics which impact interplay since the role of the base station is to multiple piconet transitions. In this study, we evaluate and respond to the technical issues that must be optimally solved the Scatternet data flow based on the relay node. Keywords: Bluetooth, Piconet, Scatternet, Relay Node

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Kanagavalli, Ramachandran, and B. Sankaragomathi. "Relay Based Performance Metrics of Bluetooth Scatternet Scheduling." Indonesian Journal of Electrical Engineering and Computer Science 11, no. 2 (August 1, 2018): 469. http://dx.doi.org/10.11591/ijeecs.v11.i2.pp469-474.

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<p>Bluetooth is an emerging mobile ad-hoc network that accredits wireless communication to connect various short range devices. A single hop network called piconet is the basic communication topology of bluetooth which allows only eight active devices for communication among them seven are active slaves controlled by one master. Multiple piconets are interconnected through a common node, known as Relay, to form a massive network called as Scatternet. It is obvious that the performance of Scatternet scheduling is highly dependent and directly proportionate with the performance of the Relay node. In contrary, by reducing the number of Relays, it may lead to poor performance, since every Relay has to perform and support several piconet connections. The primary focus of this study is to observe the performance metrics that affects the inter-piconet scheduling since the Relay node’s role is like switch between multiple piconets. In this paper, we address and analyze the performance issues to be taken into consideration for efficient data flow in Scatternet based on Relay node.</p>

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4

Parra, Lorena, José Marín, Pedro V. Mauri, Jaime Lloret, Virginia Torices, and Alberto Massager. "Scatternet Formation Protocol for Environmental Monitoring in a Smart Garden." Network Protocols and Algorithms 10, no. 3 (January 6, 2019): 63. http://dx.doi.org/10.5296/npa.v10i3.14122.

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The monitoring of different parameters in the smart garden environment requires thousands of nodes and actuators. They form a multi-hop communication network. The scatternets formed with Bluetooth protocol is a communication solution. However, there is no current algorithm that considers the different capabilities of the devices (sensors or actuators) and assigns a role according to these capabilities. In this paper, we present a network topology formation algorithm for role assignment and connection establishment which considers the capabilities of the devices and use slave-slave Bridge to communicate the piconets. We design the algorithms needed for this protocol and test it. We have simulated the algorithms in order to evaluate the time needed for role assignment and to establish the first connections of the piconet. The results include different scenarios composed by one or two masters and one to seven slaves. In addition, we evaluate the established connections in piconets and bridges in a real case of the smart garden sensor network. Finally, we present the changes in the piconet connections after the deployment of two nodes in an existing network.

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5

Bennett, F., D. Clarke, J. B. Evans, A. Hopper, A. Jones, and D. Leask. "Piconet: embedded mobile networking." IEEE Personal Communications 4, no. 5 (1997): 8–15. http://dx.doi.org/10.1109/98.626977.

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6

Misic, J., and V. B. Misic. "Modeling Bluetooth piconet performance." IEEE Communications Letters 7, no. 1 (January 2003): 18–20. http://dx.doi.org/10.1109/lcomm.2002.807435.

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7

Donegan, Brendan J., Daniel C. Doolan, and Sabin Tabirca. "Mobile Message Passing using a Scatternet Framework." International Journal of Computers Communications & Control 3, no. 1 (March 1, 2008): 51. http://dx.doi.org/10.15837/ijccc.2008.1.2374.

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The Mobile Message Passing Interface is a library which implements MPI functionality on Bluetooth enabled mobile phones. It provides many of the functions available in MPI, including point-to-point and global communication. The main restriction of the library is that it was designed to work over Bluetooth piconets. Piconet based networks provide for a maximum of eight devices connected together simultaneously. This limits the libraries usefulness for parallel computing. A solution to solve this problem is presented that provides the same functionality as the original Mobile MPI library, but implemented over a Bluetooth scatternet. A scatternet may be defined as a number of piconets interconnected by common node(s). An outline of the scatternet design is explained and its major components discussed.

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8

Bakhsh, Sheikh Tahir, Sabeen Tahir, Abdulrahman H. Altalhi, Fazli Subhan, and Muhammad Aman Sheikh. "Resource Optimization Routing and Scatternet Formation Protocols for Bluetooth Networks." International Journal of Knowledge Society Research 7, no. 2 (April 2016): 84–123. http://dx.doi.org/10.4018/ijksr.2016040106.

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Limited resources and network dynamicity are challenging issues in Bluetooth networks. Therefore, scatternet formation improvement and efficient routing algorithms are required that can efficiently construct a short route between a source and destination. As of today, many protocols have been proposed, mostly researchers focusing on simplicity and reliability, but only few of them fulfill the Bluetooth scatternet scenario. Therefore, it opens new doors for scatternet formation and inter-piconet routing for the Bluetooth scatternet. This paper presents a review of Bluetooth routing and scatternet formation protocols for inter-piconet communication. First, Bluetooth operation is explained followed by important applications and topologies are discussed. Then, inter-piconet routing and network formation protocols are critically analyzed. Finally, Bluetooth problems and open research issues are highlighted.

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9

Ashraf, I., A. Gkelias, M. Dohler, and A. H. Aghvami. "Time-synchronised multi-piconet Bluetooth environments." IEE Proceedings - Communications 153, no. 3 (2006): 445. http://dx.doi.org/10.1049/ip-com:20050510.

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10

Contreras, David, and Mario Castro. "Impact of polling on bluetooth piconet performance." IEEE Communications Magazine 49, no. 9 (September 2011): 84–89. http://dx.doi.org/10.1109/mcom.2011.6011738.

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11

Mišić, Vojislav B., and Jelena Mišić. "Adaptive inter-piconet scheduling in small scatternets." ACM SIGMOBILE Mobile Computing and Communications Review 7, no. 2 (April 2003): 45–58. http://dx.doi.org/10.1145/950391.950399.

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12

Mazzenga, F., D. Cassioli, A. Detti, I. Habib, P. Loreti, and F. Vatalaro. "Performance Evaluation in Bluetooth Dense Piconet Areas." IEEE Transactions on Wireless Communications 3, no. 6 (November 2004): 2362–73. http://dx.doi.org/10.1109/twc.2004.837395.

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13

Chen, Ying, Hui Fen Liao, Qian Peng, Wei Wang, Yong Xing Cao, and Ying Hong Dai. "Research on Data Management System for Live Detection." Applied Mechanics and Materials 734 (February 2015): 22–26. http://dx.doi.org/10.4028/www.scientific.net/amm.734.22.

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In order to raise the efficiency of on-site live detection, we proposed a new study of live detection data management system which based piconet and Electric Power System Secure Access Platform(EPSSAP). Piconet of comprehensive multi professional testing equipments with Bluetooth technology is established to wireless acquisite field testing data. Using mobile APN secure access technology, secure communication between the intranet information system and PC power system is realized. Application of the platform will provide basis for a unified multiple data acquisition system, extend functions of intranet information system, such as data storage, information processing regulate the process of on-site live detection work and improve the efficiency of the use of live detection data.

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14

Yu, Gwo-Jong, and Chih-Yung Chang. "Congestion control of bluetooth radio system by piconet restructuring." Journal of Network and Computer Applications 31, no. 3 (August 2008): 201–23. http://dx.doi.org/10.1016/j.jnca.2007.01.002.

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15

Peterson, Brian S., Rusty O. Baldwin, and Richard A. Raines. "Packet Error Rate Distribution Between Random Bluetooth Piconet Pairs." Wireless Personal Communications 35, no. 4 (December 2005): 407–32. http://dx.doi.org/10.1007/s11277-005-8031-8.

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16

Farej, Ziyad Khalaf, and Aydin M. Saeed. "Analysis and Performance Evaluation of Bluetooth Low Energy Piconet Network." OALib 07, no. 10 (2020): 1–11. http://dx.doi.org/10.4236/oalib.1106814.

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17

S P, Vijayaragavan, Chandan kumar, and Ashok Augustine Raj, K. "Internet Scheduling of Bluetooth Scatter Nets by Inter Piconet Scheduling." International Journal of Business Intelligents 5, no. 1 (March 12, 2012): 25–27. http://dx.doi.org/10.20894/ijbi.105.001.001.008.

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18

Vijayaragavan, S. P., Chandan kumar, and K. Ashok Augustine Raj. "Internet Scheduling of Bluetooth Scatter Nets By Inter Piconet Scheduling." International Journal of Web Technology 002, no. 001 (June 10, 2013): 6–8. http://dx.doi.org/10.20894/ijwt.104.002.001.002.

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19

Shin, Soo Young, Hong Seong Park, Dong-Sung Kim, and Wook Hyun Kwon. "Performance analysis of single Bluetooth piconet in error-prone environments." Journal of Communications and Networks 9, no. 3 (September 2007): 229–35. http://dx.doi.org/10.1109/jcn.2007.6182850.

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20

Park, Yongsuk. "Distributed Time Division Piconet Coexistence Using Local Time Offset Exchange." Journal of the Korea Institute of Information and Communication Engineering 18, no. 6 (June 30, 2014): 1447–53. http://dx.doi.org/10.6109/jkiice.2014.18.6.1447.

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21

Har-Sai, L., R. Kofman, A. Segall, and G. Zussman. "Load-adaptive inter-piconet scheduling in small-scale Bluetooth scatternets." IEEE Communications Magazine 42, no. 7 (July 2004): 136–42. http://dx.doi.org/10.1109/mcom.2004.1316546.

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22

Zhang, Qiaoyun, Guilin Chen, Liang Zhao, and Chih-Yung Chang. "Piconet construction and restructuring mechanisms for interference avoiding in bluetooth PANs." Journal of Network and Computer Applications 75 (November 2016): 89–100. http://dx.doi.org/10.1016/j.jnca.2016.08.019.

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23

Pandya, Utpal T., Uday B. Desai, and Shabbir N. Merchant. "Realization of Bluetooth piconet for real time monitoring of multiple parameters." Biomedical Engineering Letters 3, no. 2 (June 2013): 95–101. http://dx.doi.org/10.1007/s13534-013-0092-0.

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24

Chung, Jae-Kyong, Sang-Yeop Jeon, and Myoung Jin Kim. "An Analysis on Data Throughput of PicoCast Affected by Piconet Mutual Interference." Journal of the Institute of Electronics and Information Engineers 52, no. 2 (February 25, 2015): 40–49. http://dx.doi.org/10.5573/ieie.2015.52.2.040.

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25

Bakhsh, Sheikh Tahir, Halabi Hasbullah, and Sabeen Tahir. "Dynamic relay management protocol for efficient inter-piconet scheduling in Bluetooth scatternet." Computers & Electrical Engineering 38, no. 3 (May 2012): 626–42. http://dx.doi.org/10.1016/j.compeleceng.2011.11.002.

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26

Hassan, Abbas Saleh. "Matlab- Based Interference Mitigation in WPAN IR-UWB." Wasit Journal of Engineering Sciences 3, no. 2 (October 1, 2015): 1–14. http://dx.doi.org/10.31185/ejuow.vol3.iss2.36.

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Impulse Radio - Ultra Wideband (IR-UWB) is a wireless technology system that offers a high data rate within a short range. Therefore, IR-UWB system is regarded as an excellent physical layer solution to the multi-piconet Wireless Personal Area Network (WPAN) applications. In spite of all the advantages of IR-UWB, there are several fundamental and practical challenges that need to be carefully addressed. The big and most important one among these challenges is the interference. Two types of Rake receivers are designed and simulated to highly mitigate the MUI these are (PRake receiver) and (SRake receiver).

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27

Meng, Hao Yu, and Qi Ming Tian. "Research on the New Personals Application Based on 3G Mobile and Bluetooth Piconet." Advanced Materials Research 179-180 (January 2011): 1102–7. http://dx.doi.org/10.4028/www.scientific.net/amr.179-180.1102.

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Fast-paced city life, people have no time to make friends by traditional methods. Appreciated when we encountered a stranger in the public place, but do not know each other, we have no effective way to understand each other.The study survey on making friends behavior,research on the 3G mobile application development technology, put forward a more immediate and more private mode to making friends. Propose out a mobile instant messaging software using Bluetooth technology blueprint. The study opened up a more direct and open innovational making friends mode compared with the other online instant messaging software. The study is innovative and has significant commercial value. The obtained theory and experience can be a meaningful reference to other studies in relevant fields.

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28

Feng, Wang, A. Nallanathan, and H. K. Garg. "Impact of interference on performance of Bluetooth Piconet in 2.4 GHz ISM band." Electronics Letters 38, no. 25 (2002): 1721. http://dx.doi.org/10.1049/el:20021140.

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29

Pasolini, Gianni, and Roberto Verdone. "Analytical Evaluation of Throughput for a Bluetooth Piconet with MAC Level Link Adaptation." Mobile Networks and Applications 10, no. 5 (October 2005): 717–25. http://dx.doi.org/10.1007/s11036-005-3365-8.

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30

Dave, Tejal, and Utpal Pandya. "Simultaneous monitoring of motion ECG of two subjects using Bluetooth Piconet and baseline drift." Biomedical Engineering Letters 8, no. 4 (July 31, 2018): 365–71. http://dx.doi.org/10.1007/s13534-018-0081-4.

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31

Li, Jung-shian, Hung-cheng Kao, Sen-yo Cheng, and Chin-yang Huang. "Multi-Piconet Extension using a Bridge Selection Protocol with Distributed and Centralized Traffic Scheduling in Home Networks." IEEE Transactions on Consumer Electronics 53, no. 4 (November 2007): 1378–86. http://dx.doi.org/10.1109/tce.2007.4429227.

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32

Tahir, Sabeen, Ghadah Abdullah Aldabbagh, Sheikh Tahir Bakhsh, and Abass Md Said. "Hybrid Congestion Sharing and Route Repairing Protocol for Bluetooth Networks." WSEAS TRANSACTIONS ON COMPUTERS 20 (April 27, 2021): 49–55. http://dx.doi.org/10.37394/23205.2021.20.6.

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Bluetooth is a widespread wireless technology standard for limited wireless networks that permits Bluetooth devices to create a one-hop (piconet) or multi-hop (scatternet) network. During data transmission, a large number of links passing through a single master or bridge device may create congestion problems in a Bluetooth network. Therefore, routing in a multi-hop dynamic Bluetooth network, where a number of routing masters and routing bridges exist, sometimes create technical problems in a scatternet. Mobility and failure of routing devices disconnects the routing links and link reconstruction process consumes more resources that eventually decrease the performance. In this paper, Hybrid Congestion Sharing and Route Repairing protocol for Bluetooth networks” (HCSRR) is proposed. The objective of this paper is to provide an efficient technique for scatternet congestion avoidance and route maintenance. The proposed protocol is implemented and compared with most relevant protocols. From simulation results, it is observed that the HCSRR outperforms the existing protocols.

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33

Mercier, Antoine, Pascale Minet, and Laurent George. "Worst case response times in a Bluetooth piconet: scheduling combining 1-RR or E-RR with FIFO or EDF." Telecommunication Systems 33, no. 1-3 (October 19, 2006): 187–213. http://dx.doi.org/10.1007/s11235-006-9016-y.

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34

Cordeiro, C., S. Abhyankar, and D. P. Agrawal. "Scalable and QoS-Aware Dynamic Slot Assignment and Piconet Partitioning to Enhance the Performance of Bluetooth Ad Hoc Networks." IEEE Transactions on Mobile Computing 5, no. 10 (October 2006): 1313–30. http://dx.doi.org/10.1109/tmc.2006.156.

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35

Razavi, Rouzbeh, Martin Fleury, and Mohammed Ghanbari. "Adaptive Packet-Level Interleaved FEC for Wireless Priority-Encoded Video Streaming." Advances in Multimedia 2009 (2009): 1–14. http://dx.doi.org/10.1155/2009/982867.

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Packet-level Forward Error Control (FEC) for video streaming over a wireless network has received comparatively limited investigation, because of the delay introduced by the need to assemble a group of packets. However, packet-level interleaving when combined with FEC presents a remedy to time-correlated error bursts, though it can further increase delay if this issue is not addressed. This paper proposes adapting the overall degree of interleaved packet-level FEC according to the display deadlines of packets, transmit buffer occupation, and estimated video input to the wireless channel, all of which address the issue of delay. To guard against estimation error, the scheme applies a conservative adaptation policy, which accounts for picture type importance to ensure that display deadlines are met, thus avoiding this defect of interleaving. The paper additionally introduces a greedy algorithm that effectively groups packet-level FEC protection according to packet priority. Priority encoding adds extra protection during deep fades. As feedback is not required, the interleaving scheme is suitable for all forms of video broadcast. A Bluetooth piconet demonstrates the packet-level FEC interleaving scheme, which provides higher quality delivered video compared to the industry-standard Pro-MPEG Cop#3r2 interleaving scheme.

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36

Singh, Rajesh, Anita Gehlot, Mamoon Rashid, Ritika Saxena, Shaik Vaseem Akram, Sultan S. Alshamrani, and Ahmed Saeed AlGhamdi. "Cloud Server and Internet of Things Assisted System for Stress Monitoring." Electronics 10, no. 24 (December 16, 2021): 3133. http://dx.doi.org/10.3390/electronics10243133.

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Currently, the Internet of Things (IoT) has gained attention for its capability for real-time monitoring. The advancement in sensor and wireless communication technology has led to the widespread adoption of IoT technology in distinct applications. The cloud server, in conjunction with the IoT, enables the visualization and analysis of real-time sensor data. The literature concludes that there is a lack of remote stress-monitoring devices available to assist doctors in observing the real-time stress status of patients in the hospital and in rehabilitation centers. To overcome this problem, we have proposed the use of the IoT and cloud-enabled stress devices to detect stress in a real-time environment. The IoT-enabled stress device establishes piconet communication with the master node to allow visualization of the sensory data on the cloud server. The threshold value (volt) for real-time stress detection by the stress device is identified by experimental analysis using MATLAB based on the results obtained from the performance of three different physical-stress generating tasks. In addition, the stress device is interfaced with the cloud server, and the sensor data are recorded on the cloud server. The sensor data logged into the cloud server can be utilized for future analysis.

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37

Desai, Nivedita S., and Dr Shilpa DR. "Dual mode Bluetooth Controller via PCM-CODEC Interface for Audio Application." Journal of University of Shanghai for Science and Technology 23, no. 06 (June 18, 2021): 775–83. http://dx.doi.org/10.51201/jusst/21/05351.

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Bluetooth may be an inaccessible development standard utilized for exchanging data between settled and flexible contraptions over brief divisions utilizing UHF radio waves within the mechanical, coherent, and restorative radio bunches, from 2.402GHz to 2.480 GHz. PCM codec is an A/D interface for speech signals. The Bluetooth center framework underpins co-ordinate transport of application information that’s isochronous and of a consistent rate (either bit-rate or frame-rate for pre-framed information) employing an SCO or ESCO consistent joins. These coherent joins save physical channel transfer speed and give a consistent rate of transport bolted to the piconet clock. The codec interface block is used to interface an external PCM (8KHz voice data) or a stereo codec with the baseband controller for the direct transfer of voice data on isochronous links to external CODEC. Bluetooth baseband supports two CODEC interface protocols 1) for audio links it is the PCM interface and 2) for mono/stereo music data from audio codec it uses the IIS interface. This enables the source of isochronous data to be directly interfaced to the baseband controller if it is not required to be processed by firmware. It also provides the host access path where the source of isochronous data will be any application running on the host and data is written and read directly into baseband SCO/ESCO FIFOs from firmware. In this paper, PCM is verified in the Cadence tool and simulated images are shown.

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38

Lai, Andy S. Y., and S. Y. Leung. "Mobile Bluetooth-Based Game Development Using Arduino on Android Platform." Applied Mechanics and Materials 427-429 (September 2013): 2192–96. http://dx.doi.org/10.4028/www.scientific.net/amm.427-429.2192.

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This paper describes the use of Arduino on Android open-source platform in an experimental way to develop a remote control multi-player game. Android mobile is programmed to be a remote control device used to send sockets via Bluetooth network to Arduino microprocessor embedded in a toy car to control movements in all directions along its pathway. We applied the open-source microcontroller Arduino and the Java-Based technology Android in developing a multi-player mobile game in distributed network computing and mobile telecommunication, which strongly focuses on the emergence of technologies that embrace android mobile and Arduino open-sources. Our investigation focuses on an extended form of microprocessor network computing which game software developers utilize to develop remote control games for multi-players. We call this study an experimental mobile computing application in which the Arduino embedded in the toy car can sense the color pattern changes with infrared along its pathway and instantaneously send the data via Bluetooth piconet to the connected Android mobile device. In turn, the Android mobile device sends the data to game server via web services on internet. Currently, mobile computing feeds information into the game server. However, designing concurrent network broadcasting and real-time remote control game is still a daunting task and much theoretical and practical research remains to be done to catch up with the mobile computing and telecommunication era. In this paper, we present the overall architecture and discuss, in detail, the implementation steps taken to create the Arduino and Android based remote control context-aware game. We have developed a multi-player game server and prepared the client and server codes in mobile computing, providing adaptive routines to handle connection information requests in telecommunication and delivery for speedy throughput and context-triggered actions.

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39

Penteado, Fernando Marques. "Picote." dObra[s] – revista da Associação Brasileira de Estudos de Pesquisas em Moda 1, no. 1 (February 14, 2007): 36. http://dx.doi.org/10.26563/dobras.v1i1.396.

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Resolvi batizar de picote as narrativas que vou recontar e organizar nesta coluna. Os picotes dos gabaritos, do corte dos tecidos e da confecção de itens do vestuário são os sinais-mestres que dirigem e auxiliam a costureira ou o alfaiate a unir partes de tecidos que devem se acomodar uns aos outros. Minha intenção mestra é a de juntar, entre um número desta coluna e um seguinte,histórias e dados, informes e biografias, crônicas, entrevistas e curiosidades derivadas da ‘missão’ editorial da coluna mesma, que é a de escrever sobre os territórios movediços por onde circulam os têxteis (...)

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40

Cherchi, Paolo. "Michelangelo Picone, Scritti Danteschi." Forum Italicum: A Journal of Italian Studies 51, no. 3 (September 13, 2017): 812–14. http://dx.doi.org/10.1177/0014585817730811.

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41

Misic, J., K. L. Chan, and V. B. Misic. "Admission Control in Bluetooth Piconets." IEEE Transactions on Vehicular Technology 53, no. 3 (May 2004): 890–911. http://dx.doi.org/10.1109/tvt.2004.827154.

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42

Sarkar, S., F. Anjum, and R. Guha. "Optimal Communication in Bluetooth Piconets." IEEE Transactions on Vehicular Technology 54, no. 2 (March 2005): 709–21. http://dx.doi.org/10.1109/tvt.2004.841554.

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43

Yoshida, Norio. "Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality." International Journal of Differential Equations 2010 (2010): 1–9. http://dx.doi.org/10.1155/2010/520486.

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Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordinary half-linear differential equations.

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44

Biere, Armin. "PicoSAT Essentials." Journal on Satisfiability, Boolean Modeling and Computation 4, no. 2-4 (May 1, 2008): 75–97. http://dx.doi.org/10.3233/sat190039.

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45

Anderson, Douglas, and John Graef. "Sturm-Picone comparison theorem for matrix systems on time scales." Applicable Analysis and Discrete Mathematics 4, no. 2 (2010): 338–46. http://dx.doi.org/10.2298/aadm100514024a.

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A well-known Picone identity is extended and generalized to second-order dynamic matrix equations on arbitrary time scales. A comparison theorem is obtained in the spirit of the classical Sturm-Picone comparison theorem that extends known scalar results to matrix equations that include the linear homogeneous and inhomogeneous cases, and nonlinear unperturbed and perturbed cases.

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46

Howitt, I. "Mutual interference between independent bluetooth piconets." IEEE Transactions on Vehicular Technology 52, no. 3 (May 2003): 708–18. http://dx.doi.org/10.1109/tvt.2003.811614.

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47

Seebaran, Desirée. "Picong." Wasafiri 35, no. 3 (July 2, 2020): 61. http://dx.doi.org/10.1080/02690055.2020.1760487.

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48

Došlý, Ondřej. "The Picone identity for a class of partial differential equations." Mathematica Bohemica 127, no. 4 (2002): 581–89. http://dx.doi.org/10.21136/mb.2002.133959.

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49

Bobkov, Vladimir, and Mieko Tanaka. "Generalized Picone inequalities and their applications to (p,q)-Laplace equations." Open Mathematics 18, no. 1 (September 30, 2020): 1030–44. http://dx.doi.org/10.1515/math-2020-0065.

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Abstract:

Abstract We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q) -Laplace-type operators. With its help, as well as with the help of several other known generalized Picone inequalities, we provide some nontrivial facts on the existence and nonexistence of positive solutions to the zero Dirichlet problem for the equation -\hspace{-0.25em}{\text{Δ}}_{p}u-{\text{Δ}}_{q}u={f}_{\mu }(x,u,\nabla u) in a bounded domain \text{Ω}\hspace{0.25em}\subset {{\mathbb{R}}}^{N} under certain assumptions on the nonlinearity and with a special attention to the resonance case {f}_{\mu }(x,u,\nabla u)={\lambda }_{1}(p)|u{|}^{p-2}u+\mu |u{|}^{q-2}u , where {\lambda }_{1}(p) is the first eigenvalue of the p-Laplacian.

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50

Sharma, Sanandan. "WIRELESS EARPHONE FOR USE IN BLUETOOTH PICONETS." Journal of the Acoustical Society of America 134, no. 5 (2013): 3961. http://dx.doi.org/10.1121/1.4828901.

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