Combined Radar and Communications With Phase-Modulated Frequency Permutations
This paper focuses on the combined radar and communications problem and conducts a thorough analytical investigation on the effect of phase and frequency change on the communication and sensing functionality. First, we consider the classical stepped frequency radar waveform and modulate data using &...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
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| Series: | IEEE Open Journal of the Communications Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10097884/ |
| _version_ | 1797840055838965760 |
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| author | Tian Han Rajitha Senanayake Peter Smith Jamie Evans William Moran Robin Evans |
| author_facet | Tian Han Rajitha Senanayake Peter Smith Jamie Evans William Moran Robin Evans |
| author_sort | Tian Han |
| collection | DOAJ |
| description | This paper focuses on the combined radar and communications problem and conducts a thorough analytical investigation on the effect of phase and frequency change on the communication and sensing functionality. First, we consider the classical stepped frequency radar waveform and modulate data using <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-ary phase shift keying (MPSK). Two important analytical tools in radar waveform design, namely the ambiguity function (AF) and the Fisher information matrix (FIM) are derived, based on which, we make the important conclusion that MPSK modulation has a negligible effect on radar local accuracy. Next, we extend the analysis to incorporate frequency permutations and propose a new signalling scheme in which the mapping between incoming data and waveforms is performed based on an efficient combinatorial transform called the Lehmer code. We also provide an efficient communications receiver based on a modified Hungarian algorithm. From the communications perspective, we consider the optimal maximum likelihood (ML) detector and derive the union bound and nearest neighbour approximation on the block error probability. From the radar sensing perspective, we discuss the broader structure of the waveform based on the AF derivation and quantify the radar local accuracy based on the FIM. Extensive numerical examples are provided to illustrate the accuracy of our results. |
| first_indexed | 2024-04-09T16:08:17Z |
| format | Article |
| id | doaj.art-1d67cd9cc48049d38afc73889ec2999c |
| institution | Directory Open Access Journal |
| issn | 2644-125X |
| language | English |
| last_indexed | 2024-04-09T16:08:17Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of the Communications Society |
| spelling | doaj.art-1d67cd9cc48049d38afc73889ec2999c2023-04-24T23:00:54ZengIEEEIEEE Open Journal of the Communications Society2644-125X2023-01-01496798910.1109/OJCOMS.2023.326501310097884Combined Radar and Communications With Phase-Modulated Frequency PermutationsTian Han0https://orcid.org/0000-0002-1573-9161Rajitha Senanayake1https://orcid.org/0000-0002-5960-4082Peter Smith2Jamie Evans3https://orcid.org/0000-0003-4637-1037William Moran4https://orcid.org/0000-0001-6219-2341Robin Evans5Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, AustraliaDepartment of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, AustraliaSchool of Mathematics and Statistics, Victoria University of Wellington, Wellington, New ZealandDepartment of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, AustraliaDepartment of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, AustraliaDepartment of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, AustraliaThis paper focuses on the combined radar and communications problem and conducts a thorough analytical investigation on the effect of phase and frequency change on the communication and sensing functionality. First, we consider the classical stepped frequency radar waveform and modulate data using <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-ary phase shift keying (MPSK). Two important analytical tools in radar waveform design, namely the ambiguity function (AF) and the Fisher information matrix (FIM) are derived, based on which, we make the important conclusion that MPSK modulation has a negligible effect on radar local accuracy. Next, we extend the analysis to incorporate frequency permutations and propose a new signalling scheme in which the mapping between incoming data and waveforms is performed based on an efficient combinatorial transform called the Lehmer code. We also provide an efficient communications receiver based on a modified Hungarian algorithm. From the communications perspective, we consider the optimal maximum likelihood (ML) detector and derive the union bound and nearest neighbour approximation on the block error probability. From the radar sensing perspective, we discuss the broader structure of the waveform based on the AF derivation and quantify the radar local accuracy based on the FIM. Extensive numerical examples are provided to illustrate the accuracy of our results.https://ieeexplore.ieee.org/document/10097884/Joint communications and radarmaximum likelihoodambiguity functionFisher information matrix |
| spellingShingle | Tian Han Rajitha Senanayake Peter Smith Jamie Evans William Moran Robin Evans Combined Radar and Communications With Phase-Modulated Frequency Permutations IEEE Open Journal of the Communications Society Joint communications and radar maximum likelihood ambiguity function Fisher information matrix |
| title | Combined Radar and Communications With Phase-Modulated Frequency Permutations |
| title_full | Combined Radar and Communications With Phase-Modulated Frequency Permutations |
| title_fullStr | Combined Radar and Communications With Phase-Modulated Frequency Permutations |
| title_full_unstemmed | Combined Radar and Communications With Phase-Modulated Frequency Permutations |
| title_short | Combined Radar and Communications With Phase-Modulated Frequency Permutations |
| title_sort | combined radar and communications with phase modulated frequency permutations |
| topic | Joint communications and radar maximum likelihood ambiguity function Fisher information matrix |
| url | https://ieeexplore.ieee.org/document/10097884/ |
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