A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications
Cellular site planners have long used propagation models for optimizing an architecture deployment strategy. The foundation of these models are a plethora of theoretical results that all contribute to a probabilistic understanding of this phenomenon. In lower-band frequencies, coverage and propagati...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9181619/ |
| _version_ | 1819276424960278528 |
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| author | John D. Roth Murali Tummala John C. Mceachen |
| author_facet | John D. Roth Murali Tummala John C. Mceachen |
| author_sort | John D. Roth |
| collection | DOAJ |
| description | Cellular site planners have long used propagation models for optimizing an architecture deployment strategy. The foundation of these models are a plethora of theoretical results that all contribute to a probabilistic understanding of this phenomenon. In lower-band frequencies, coverage and propagation phenomena were sufficient considerations for legacy infrastructure deployment; however, as cellular technology probes uncharted millimeter wave spectra and beyond, it is natural to inquire as to whether other metrics could contribute to an informed infrastructure deployment. As the benchmark goals for positioning accuracy grow more ambitious and location-aware communications becomes a reality, we argue that localization accuracy should also play a prominent role in cellular infrastructure deployment planning. To this end, we submit a new closed-form probability density function (PDF) to characterize the angular difference of a pair of base stations and a mobile terminal. The importance of the angular difference is demonstrated by showing that the Cramér-Rao lower bound for localization is solely a function of it and measurement accuracy. Further, we submit a computationally tenable algorithm for producing the required PDF. To demonstrate the power of the density, we show some base station deployments that are guaranteed to yield geometrically favorable environments for positioning. Finally, we demonstrate how this new distribution outperforms numerical analysis when planning wireless network architecture deployment for location-aware communications. |
| first_indexed | 2024-12-23T23:40:00Z |
| format | Article |
| id | doaj.art-d1d4d5512271443d8cedc4d33ff30a42 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-23T23:40:00Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-d1d4d5512271443d8cedc4d33ff30a422022-12-21T17:25:42ZengIEEEIEEE Access2169-35362020-01-01816046116047910.1109/ACCESS.2020.30207489181619A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless CommunicationsJohn D. Roth0https://orcid.org/0000-0001-6043-9478Murali Tummala1John C. Mceachen2Department of Electrical and Computer Engineering, Naval Postgraduate School, Monterey, CA, USADepartment of Electrical and Computer Engineering, Naval Postgraduate School, Monterey, CA, USADepartment of Electrical and Computer Engineering, Naval Postgraduate School, Monterey, CA, USACellular site planners have long used propagation models for optimizing an architecture deployment strategy. The foundation of these models are a plethora of theoretical results that all contribute to a probabilistic understanding of this phenomenon. In lower-band frequencies, coverage and propagation phenomena were sufficient considerations for legacy infrastructure deployment; however, as cellular technology probes uncharted millimeter wave spectra and beyond, it is natural to inquire as to whether other metrics could contribute to an informed infrastructure deployment. As the benchmark goals for positioning accuracy grow more ambitious and location-aware communications becomes a reality, we argue that localization accuracy should also play a prominent role in cellular infrastructure deployment planning. To this end, we submit a new closed-form probability density function (PDF) to characterize the angular difference of a pair of base stations and a mobile terminal. The importance of the angular difference is demonstrated by showing that the Cramér-Rao lower bound for localization is solely a function of it and measurement accuracy. Further, we submit a computationally tenable algorithm for producing the required PDF. To demonstrate the power of the density, we show some base station deployments that are guaranteed to yield geometrically favorable environments for positioning. Finally, we demonstrate how this new distribution outperforms numerical analysis when planning wireless network architecture deployment for location-aware communications.https://ieeexplore.ieee.org/document/9181619/5G mobile communicationsCramér-Rao boundsestimation theorylocation estimationmillimeter wave communication |
| spellingShingle | John D. Roth Murali Tummala John C. Mceachen A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications IEEE Access 5G mobile communications Cramér-Rao bounds estimation theory location estimation millimeter wave communication |
| title | A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications |
| title_full | A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications |
| title_fullStr | A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications |
| title_full_unstemmed | A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications |
| title_short | A New Probability Density Function for Minimizing Geometric Dilution of Precision in Location-Aware Wireless Communications |
| title_sort | new probability density function for minimizing geometric dilution of precision in location aware wireless communications |
| topic | 5G mobile communications Cramér-Rao bounds estimation theory location estimation millimeter wave communication |
| url | https://ieeexplore.ieee.org/document/9181619/ |
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