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Two-dimensional Fourier transform for joint frequency–AOA estimation

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Abstract

The determination of the signal’s angle of arrival (AOA) is crucial for civilian and military applications. Popular AOA determination techniques such as MUSIC are often calculation intensive and require a priori knowledge about signal frequency and incoming signals need to have the same frequency. In this paper, an efficient joint frequency–AOA determination method based on a 2-dimensional fast Fourier transform (2D-FFT) is proposed and investigated. The major advantages of the proposed method lie in its simplicity and the availability of efficient hardware/software designed for FFT calculation. Simulation results demonstrate the validity of the proposed method and its advantage over MUSIC in terms of calculation efficiency and better noise immunity. The results show that the proposed method outperforms MUSIC in a low signal-to-noise ratio (SNR) environment (SNR < − 4 dB) and that it requires CPU time merely a fraction of what is required by MUSIC. Therefore, the proposed method provides a feasible approach for realizing AOA detection in a real-time processing device.

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References

  1. Sklar, B.: Communications Link Analysis. In: Saddle, U. (ed.) Digital Communications Fundamentals and Applications, pp. 247–248. Prentice Hall, River (2001)

    Google Scholar 

  2. Melvin, W.L., Scheer, J.A.: Electronic protection. In Principles of modern radar: advanced techniques, New York, NY, USA: SciTech, pp. 538 (2013)

  3. Sheng, H.T., Wu, W.R., Hsiao, W.H., Servetnyk, M.: Joint channel and AoA estimation in OFDM systems: one channel tap with multiple AoAs problem. IEEE Commun. Lett. 25(7), 2245–2249 (2021)

    Article  Google Scholar 

  4. Barber, T.S.: Performance analysis of angle of arrival algorithms, applied to radiofrequency interference direction finding. M.S. thesis, Department of Electrical and Computer Engineering, Air Force Institute of Technology, Dayton, Ohio, USA (2019)

  5. Horng, C.Y., Wu, W.R., Huang, D.H.: Joint AoA and channel estimation for pulse-shaped SIMO-OFDM systems. In: Proc. 2018 IEEE 23rd international conference on digital signal processing (DSP), pp. 1–5 (2018)

  6. Zhang, Z., Tian, Z., Zhou, M.: SmartFinger: a finger-sensing system for mobile interaction via MIMO FMCW Radar. In: Proc. 2019 IEEE Globecom Workshops (GC Wkshps, pp. 1–5 (2019)

  7. Wyckoff, P.S., Keeler, J.T.: Real time angle of arrival estimation for GSM signals. In: Proc. IEEE/ACES international conference on wireless communications and applied computational electromagnetics, pp. 357–360 (2005)

  8. Liou, L.L., Lin, D.M., Tsui, J.T., Buck, J., Longbrake, M., McCann, J., Buxa, P., Dalrymple, T.: Angle of arrival measurement using wideband linear phased array. In: Proc. the IEEE 2009 National Aerospace & Electronics Conference (NAECON), pp. 149–155 (2009)

  9. Zoltowski, M.D., Mathews, C.P.: Real-time frequency and 2-D angle estimation with sub-nyquist spatio-temporal sampling. IEEE Trans. Signal Process. 42(10), 2781–2794 (1994)

    Article  Google Scholar 

  10. Wan, L.T., Liu, L.T., Si, W.J., Tian, Z.X.: “Joint estimation of 2D-DOA and frequency based on space-time matrix and conformal array. Sci. World J. (2013). https://doi.org/10.1155/2013/463828

    Article  Google Scholar 

  11. Cheng, C.-H.: A sub-Nyquist uniform linear array receiver design. IEEE Access 9, 114359–114366 (2021)

    Article  Google Scholar 

  12. Tsui, J.: Digital Techniques for Wideband Receivers, 2nd edn. SciTech Publishing, Raleigh (2004)

    Book  Google Scholar 

  13. Cheng, C.H., Liou, L.L., Lin, D.M., Tsui, J.B., Tai, H.M.: Wideband In-phase/quadrature imbalance compensation using finite impulse response filter. IET Radar Sonar Navigat. 8(7), 797–804 (2014)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Miami University, Oxford, OH, 45056, USA

    Chi-Hao Cheng

  2. Defense Engineering Corporation, Beavercreek, OH, 45434, USA

    Jason Pennington

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  1. Chi-Hao Cheng
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  2. Jason Pennington
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Both authors worked on simulation and drafting the paper.

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Correspondence to Chi-Hao Cheng.

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Cheng, CH., Pennington, J. Two-dimensional Fourier transform for joint frequency–AOA estimation. SIViP 18, 137–142 (2024). https://doi.org/10.1007/s11760-023-02727-4

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  • DOI: https://doi.org/10.1007/s11760-023-02727-4

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