On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies
Multicarrier phase ranging (MCPR) technique has been widely used in radio navigation, telemetry, radar, and many other fields. In an MCPR system, unique range estimation can be obtained within only the so-called unambiguous distance (UD) because of phase ambiguity. As a metric gauging, the measurabl...
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2017-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/7934314/ |
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| author | Peng Liu Wangdong Qi Yue Zhang Li Wei |
| author_facet | Peng Liu Wangdong Qi Yue Zhang Li Wei |
| author_sort | Peng Liu |
| collection | DOAJ |
| description | Multicarrier phase ranging (MCPR) technique has been widely used in radio navigation, telemetry, radar, and many other fields. In an MCPR system, unique range estimation can be obtained within only the so-called unambiguous distance (UD) because of phase ambiguity. As a metric gauging, the measurable distance of an MCPR system, the UD has been well studied under two common configurations: the linearly spaced frequencies and the proportionally spaced frequencies. In this paper, we propose to apply the frequency hopping (FH) waveform to the MCPR systems for an enhanced antijamming capability, which has been a key criterion in military and other mission critical applications. It is, however, difficult to define the UD with randomly spaced frequencies (RSF) led by the FH waveform. Under the RSF configuration, the UD becomes a random variable. We try to depict its statistical property with a deterministic value and find that the upper bound of the random UD plays an important role. We prove that, without phase noise, the UD can reach its upper bound with a large probability when only a dozen of carriers are employed, as long as the hop set of FH waveform is large enough. Simulations further show that even in the presence of phase noise and multipath fading scenarios the UD under the RSF configuration can also achieve its upper bound asymptotically if the number of carriers is moderately increased from a dozen to several dozens. Our paper uncovers the feasibility of applying the FH waveform to the MCPR systems. |
| format | Article |
| id | doaj-art-0d8358c41aaf4450bfa4b41e4e376012 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | IEEE |
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| spelling | doaj-art-0d8358c41aaf4450bfa4b41e4e3760122025-01-31T23:04:21ZengIEEEIEEE Access2169-35362017-01-015102961030610.1109/ACCESS.2017.27036147934314On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped FrequenciesPeng Liu0Wangdong Qi1Yue Zhang2Li Wei3P. L. A. University of Science and Technology, Nanjing, ChinaP. L. A. University of Science and Technology, Nanjing, ChinaBeijing Satellite Navigation Center, Beijing, ChinaP. L. A. University of Science and Technology, Nanjing, ChinaMulticarrier phase ranging (MCPR) technique has been widely used in radio navigation, telemetry, radar, and many other fields. In an MCPR system, unique range estimation can be obtained within only the so-called unambiguous distance (UD) because of phase ambiguity. As a metric gauging, the measurable distance of an MCPR system, the UD has been well studied under two common configurations: the linearly spaced frequencies and the proportionally spaced frequencies. In this paper, we propose to apply the frequency hopping (FH) waveform to the MCPR systems for an enhanced antijamming capability, which has been a key criterion in military and other mission critical applications. It is, however, difficult to define the UD with randomly spaced frequencies (RSF) led by the FH waveform. Under the RSF configuration, the UD becomes a random variable. We try to depict its statistical property with a deterministic value and find that the upper bound of the random UD plays an important role. We prove that, without phase noise, the UD can reach its upper bound with a large probability when only a dozen of carriers are employed, as long as the hop set of FH waveform is large enough. Simulations further show that even in the presence of phase noise and multipath fading scenarios the UD under the RSF configuration can also achieve its upper bound asymptotically if the number of carriers is moderately increased from a dozen to several dozens. Our paper uncovers the feasibility of applying the FH waveform to the MCPR systems.https://ieeexplore.ieee.org/document/7934314/Multi-carrier phase rangingunambiguous distancefrequency hopping waveform |
| spellingShingle | Peng Liu Wangdong Qi Yue Zhang Li Wei On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies IEEE Access Multi-carrier phase ranging unambiguous distance frequency hopping waveform |
| title | On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies |
| title_full | On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies |
| title_fullStr | On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies |
| title_full_unstemmed | On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies |
| title_short | On the Unambiguous Distance of Multicarrier Phase Ranging With Random Hopped Frequencies |
| title_sort | on the unambiguous distance of multicarrier phase ranging with random hopped frequencies |
| topic | Multi-carrier phase ranging unambiguous distance frequency hopping waveform |
| url | https://ieeexplore.ieee.org/document/7934314/ |
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