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1

Altshuler, E. E., T. H. O'Donnell, A. D. Yaghjian, and S. R. Best. "A monopole superdirective array." IEEE Transactions on Antennas and Propagation 53, no. 8 (2005): 2653–61. http://dx.doi.org/10.1109/tap.2005.851810.

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2

Nakamura, Takashi, Shin-Ichi Miyagawa, and Senji Yckokawa. "Superdirective cascaded dipole array." Electronics and Communications in Japan (Part I: Communications) 75, no. 11 (1992): 80–88. http://dx.doi.org/10.1002/ecja.4410751108.

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3

Lonsky, Tomas, Jan Kracek, and Pavel Hazdra. "Superdirective Linear Dipole Array Optimization." IEEE Antennas and Wireless Propagation Letters 19, no. 6 (2020): 902–6. http://dx.doi.org/10.1109/lawp.2020.2981533.

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4

Buell, Kevin, Hossein Mosallaei, and Kamal Sarabandi. "Metamaterial Insulator Enabled Superdirective Array." IEEE Transactions on Antennas and Propagation 55, no. 4 (2007): 1074–85. http://dx.doi.org/10.1109/tap.2007.893373.

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5

Haskou, Abdullah, Ala Sharaiha, and Sylvain Collardey. "Compact Antenna Array of Superdirective Elements." IEEE Antennas and Wireless Propagation Letters 15 (2016): 1386–89. http://dx.doi.org/10.1109/lawp.2015.2510382.

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6

Best, S. R., E. E. Altshuler, A. D. Yaghjian, J. M. McGinthy, and T. H. O'Donnell. "An Impedance-Matched 2-Element Superdirective Array." IEEE Antennas and Wireless Propagation Letters 7 (2008): 302–5. http://dx.doi.org/10.1109/lawp.2008.921372.

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7

Simón Gálvez, Marcos F., Stephen J. Elliott, and Jordan Cheer. "A superdirective array of phase shift sources." Journal of the Acoustical Society of America 132, no. 2 (2012): 746–56. http://dx.doi.org/10.1121/1.4733556.

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8

Andrasic, G., and J. R. James. "Height reduced superdirective array with helical directors." Electronics Letters 29, no. 23 (1993): 2002. http://dx.doi.org/10.1049/el:19931335.

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9

Bokhari, S. A., H. K. Smith, J. R. Mosig, J. F. Zürcher, and F. E. Gardiol. "Superdirective antenna array of printed parasitic elements." Electronics Letters 28, no. 14 (1992): 1332. http://dx.doi.org/10.1049/el:19920846.

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10

Greco, Danilo, and Andrea Trucco. "Superdirective Robust Algorithms’ Comparison for Linear Arrays." Acoustics 2, no. 3 (2020): 707–18. http://dx.doi.org/10.3390/acoustics2030038.

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Frequency-invariant beam patterns are often required by systems using an array of sensors to process broadband signals. In some experimental conditions (small devices for underwater acoustic communication), the array spatial aperture is shorter than the involved wavelengths. In these conditions, superdirective beamforming is essential for an efficient system. We present a comparison between two methods that deal with a data-independent beamformer based on a filter-and-sum structure. Both methods (the first one numerical, the second one analytic) formulate a mathematical convex minimization pro
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11

Hu, Ruoyu, Yingqiang Wang, Wencheng Yang, Ying Chen, and S. H. Huang. "Fast Calibration of Superdirective Ultra-Short Baseline Array." Journal of Marine Science and Engineering 11, no. 9 (2023): 1665. http://dx.doi.org/10.3390/jmse11091665.

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Array calibration can effectively ensure the positioning accuracy of the ultra-short baseline (USBL) system. Traditional USBL array calibration methods focus on measuring the geometric position of the array elements. However, directional phase differences on the receive path are often ignored in the current calibration process, which can also cause array mismatch, especially when using the superdirective beamforming (SDB) technique. To further improve the calibration accuracy and convenience of the USBL using the SDB technique, a fast calibration method is proposed in this paper. In the new me
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12

Humphrey, Victor F., Paul C. Hines, and Victor Young. "Experimental performance analysis of a superdirective line array." Journal of the Acoustical Society of America 114, no. 4 (2003): 2426. http://dx.doi.org/10.1121/1.4778860.

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13

Chaloupka, H. J., X. Wang, and J. C. Coetzee. "A superdirective 3-element array for adaptive beamforming." Microwave and Optical Technology Letters 36, no. 6 (2003): 425–30. http://dx.doi.org/10.1002/mop.10782.

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14

Dakhli, Saber, Jean Marie Floc’h, Mohammed Aseeri, Ameni Mersani, and Hatem Rmili. "Design of Compact and Superdirective Metamaterial-Inspired Two- and Three-Elements Antenna Arrays." Journal of Electromagnetic Engineering and Science 23, no. 4 (2023): 362–68. http://dx.doi.org/10.26866/jees.2023.4.r.179.

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This paper presents the development of a miniature antenna array in a small space in order to achieve superdirectivity for long-range communication. The proposed structures consist of a superdirective metamaterial-inspired array based on a capacitively loaded loop (CLL) driven by an electrically small monopole antenna. This elementary antenna is then used in two- and three-array configurations separated by a fixed interelement distance of 0.1λ to achieve a higher directivity and compact size (with λ the wavelength calculated at the operation frequency 1.850 GHz). The design of the elementary a
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15

Hines, Paul C., Victor F. Humphrey, and Victor Young. "Performance of a superdirective line array in nonideal environments." Journal of the Acoustical Society of America 114, no. 4 (2003): 2426. http://dx.doi.org/10.1121/1.4778855.

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16

Chryssomallis, M., and J. N. Sahalos. "A synoptic study of different superdirective endfire array concepts." Archiv für Elektrotechnik 76, no. 6 (1993): 469–76. http://dx.doi.org/10.1007/bf01576027.

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17

Hammoud, Mohamad, Abdullah Haskou, Ala Sharaiha, and Sylvain Collardey. "Small end-fire superdirective folded meandered monopole antenna array." Microwave and Optical Technology Letters 58, no. 9 (2016): 2122–24. http://dx.doi.org/10.1002/mop.29995.

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18

Tsaliyev, Т. А. "A WEAKLY SUPERDIRECTIVE SLOTTED WAVEGUIDE ANTENNA ARRAY OF AXIAL RADIATION." Telecommunications and Radio Engineering 76, no. 9 (2017): 751–60. http://dx.doi.org/10.1615/telecomradeng.v76.i9.10.

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19

Mazinani, S. Maryam, and Hamid Reza Hassani. "Superdirective Wideband Array of Planar Monopole Antenna With Loading Plates." IEEE Antennas and Wireless Propagation Letters 9 (2010): 978–81. http://dx.doi.org/10.1109/lawp.2010.2087411.

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20

Sodin, L. G. "Superdirective linear array antennas (optimization according to an integral criterion)." Journal of Communications Technology and Electronics 52, no. 3 (2007): 326–31. http://dx.doi.org/10.1134/s1064226907030060.

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21

Lu, Ping, Zhiwei Liu, Enpu Lei, Kama Huang, and Chaoyun Song. "Superdirective Wideband Array of Circular Monopoles with Loaded Patches for Wireless Communications." Sensors 23, no. 18 (2023): 7851. http://dx.doi.org/10.3390/s23187851.

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A wideband superdirective array, composed of a two-element circular monopole configuration, is introduced. The monopoles are placed in close proximity, facing each other on a metal ground. To ensure good matching at high frequencies, two pairs of elliptical patches are added to the sides of the monopoles, enhancing the surface current of the circular patch for wideband performance. To achieve equal amplitude excitation and the desired phase difference, a wideband power divider with a phase shifter is designed to feed the antenna array. Simulation and measurement results demonstrate that the pr
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22

Riabko, Andrii, Tetiana Vakaliuk, Oksana Zaika, Roman Kukharchuk, and Yuriy Smorzhevsky. "Comparative analysis and selection of the geometry of the microphone array based on MEMS microphones for sound localisation." Radioelectronic and Computer Systems 2025, no. 1 (2025): 211–30. https://doi.org/10.32620/reks.2025.1.15.

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The subject of this article is the design and optimization of the geometric configuration of omnidirectional MEMS microphone arrays for sound localization tasks. The goal is to determine the most effective array architecture and beamforming algorithms to achieve compactness, accuracy, and balanced omnidirectional coverage. The tasks to be addressed include analyzing spatial-frequency characteristics of various microphone array geometries (Uniform Linear Array, Uniform Planar Array, Uniform Circular Array, and Uniform Concentric Array), comparing beamforming algorithms (delay-and-sum, different
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23

Hines, Paul C., Daniel L. Hutt, and Victor Young. "Measured performance of an endfire superdirective line array in littoral water." Journal of the Acoustical Society of America 110, no. 5 (2001): 2740. http://dx.doi.org/10.1121/1.4777521.

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24

Volmer, C., M. Sengul, J. Weber, R. Stephan, and M. A. Hein. "Broadband Decoupling and Matching of a Superdirective Two-Port Antenna Array." IEEE Antennas and Wireless Propagation Letters 7 (2008): 613–16. http://dx.doi.org/10.1109/lawp.2008.2006767.

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25

Jaafar, Hussein, Sylvain Collardey, and Ala Sharaiha. "Characteristic Modes Approach to Design Compact Superdirective Array With Enhanced Bandwidth." IEEE Transactions on Antennas and Propagation 66, no. 12 (2018): 6986–96. http://dx.doi.org/10.1109/tap.2018.2874691.

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26

Derkx, RenÉ M. M., and Kees Janse. "Theoretical Analysis of a First-Order Azimuth-Steerable Superdirective Microphone Array." IEEE Transactions on Audio, Speech, and Language Processing 17, no. 1 (2009): 150–62. http://dx.doi.org/10.1109/tasl.2008.2006583.

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27

Miaris, G., M. Chryssomallis, E. Vafiadis, and J. N. Sahalos. "A unified formulation for Chebyshev and Legendre superdirective endfire array design." Electrical Engineering 78, no. 4 (1995): 271–80. http://dx.doi.org/10.1007/bf01240234.

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28

Alexandridis, Anastasios, Anthony Griffin, and Athanasios Mouchtaris. "Capturing and Reproducing Spatial Audio Based on a Circular Microphone Array." Journal of Electrical and Computer Engineering 2013 (2013): 1–16. http://dx.doi.org/10.1155/2013/718574.

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This paper proposes a real-time method for capturing and reproducing spatial audio based on a circular microphone array. Following a different approach than other recently proposed array-based methods for spatial audio, the proposed method estimates the directions of arrival of the active sound sources on a per time-frame basis and performs source separation with a fixed superdirective beamformer, which results in more accurate modelling and reproduction of the recorded acoustic environment. The separated source signals are downmixed into one monophonic audio signal, which, along with side inf
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29

Russo, Ivan, Christian Canestri, Antonio Manna, Giorgio Mazzi, and Antonio Tafuto. "Dual-Band Antenna Array With Superdirective Elements for Short-Distance Ballistic Tracking." IEEE Transactions on Antennas and Propagation 67, no. 1 (2019): 232–41. http://dx.doi.org/10.1109/tap.2018.2877308.

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30

Iseki, Akihiro, Yuichiro Kinoshita, and Kenji Ozawa. "Optimization of neural-network-based superdirective microphone-array system using a genetic algorithm." Acoustical Science and Technology 36, no. 4 (2015): 326–32. http://dx.doi.org/10.1250/ast.36.326.

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31

Itoh, Keiichiro, Osamu Ishii, Yasuhiro Nagai, Naobumi Suzuki, Yoshihiro Kimachi, and Osamu Michikami. "Two-element superdirective array antenna composed of high-T c superconducting small helical radiators." Journal of Superconductivity 5, no. 5 (1992): 485–90. http://dx.doi.org/10.1007/bf00620509.

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32

Zhang, Huajun, Huotao Gao, Huaqiao Zhao, Ting Cao, and Boya Li. "A SET OF SIMPLE NUMERICAL PATTERN SYNTHESIS ALGORITHMS FOR ANTI-JAMMING WITH SUPERDIRECTIVE RECEIVING ARRAY." Progress In Electromagnetics Research M 49 (2016): 195–202. http://dx.doi.org/10.2528/pierm16052001.

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33

Kim, Oleksiy S., Sergey Pivnenko, and Olav Breinbjerg. "Superdirective Magnetic Dipole Array as a First-Order Probe for Spherical Near-Field Antenna Measurements." IEEE Transactions on Antennas and Propagation 60, no. 10 (2012): 4670–76. http://dx.doi.org/10.1109/tap.2012.2207363.

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34

Ma, Xiaohui, Christoph Hohnerlein, and Jens Ahrens. "Concept and Perceptual Validation of Listener-Position Adaptive Superdirective Crosstalk Cancellation Using a Linear Loudspeaker Array." Journal of the Audio Engineering Society 67, no. 11 (2019): 871–81. http://dx.doi.org/10.17743/jaes.2019.0037.

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35

Guo Jun-Yuan, Yang Shi-E, Piao Sheng-Chun, and Mo Ya-Xiao. "Direction-of-arrival estimation based on superdirective multi-pole vector sensor array for low-frequency underwater sound sources." Acta Physica Sinica 65, no. 13 (2016): 134303. http://dx.doi.org/10.7498/aps.65.134303.

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36

Wang, Yuzhu, Jingdong Chen, Jacob Benesty, Jilu Jin, and Gongping Huang. "Binaural Heterophasic Superdirective Beamforming." Sensors 21, no. 1 (2020): 74. http://dx.doi.org/10.3390/s21010074.

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The superdirective beamformer, while attractive for processing broadband acoustic signals, often suffers from the problem of white noise amplification. So, its application requires well-designed acoustic arrays with sensors of extremely low self-noise level, which is difficult if not impossible to attain. In this paper, a new binaural superdirective beamformer is proposed, which is divided into two sub-beamformers. Based on studies and facts in psychoacoustics, these two filters are designed in such a way that they are orthogonal to each other to make the white noise components in the binaural
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37

Kates, James M. "Superdirective arrays for hearing aids." Journal of the Acoustical Society of America 94, no. 4 (1993): 1930–33. http://dx.doi.org/10.1121/1.407515.

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38

Merklinger, Harold M. "Superdirective and gradient sensor arrays." Journal of the Acoustical Society of America 114, no. 4 (2003): 2425. http://dx.doi.org/10.1121/1.4778839.

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39

Cavalieri, André V. G., Peter Jordan, Tim Colonius, and Yves Gervais. "Axisymmetric superdirectivity in subsonic jets." Journal of Fluid Mechanics 704 (July 3, 2012): 388–420. http://dx.doi.org/10.1017/jfm.2012.247.

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AbstractWe present experimental results for the acoustic field of jets with Mach numbers between 0.35 and 0.6. An azimuthal ring array of six microphones, whose polar angle, $\theta $, was progressively varied, allows the decomposition of the acoustic pressure into azimuthal Fourier modes. In agreement with past observations, the sound field for low polar angles (measured with respect to the jet axis) is found to be dominated by the axisymmetric mode, particularly at the peak Strouhal number. The axisymmetric mode of the acoustic field can be clearly associated with an axially non-compact sour
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40

Dawoud, M. M., and M. A. Hassan. "Design of superdirective endfire antenna arrays." IEEE Transactions on Antennas and Propagation 37, no. 6 (1989): 796–800. http://dx.doi.org/10.1109/8.29368.

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41

Hansen, R. C., and D. Gammon. "Superdirective linear arrays with uniform amplitudes." Microwave and Optical Technology Letters 20, no. 1 (1999): 28–31. http://dx.doi.org/10.1002/(sici)1098-2760(19990105)20:1<28::aid-mop7>3.0.co;2-3.

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42

Wang, Yong, Xiaoyuan Li, Long Yang, and Yixin Yang. "Robust superdirective beamforming for arbitrary sensor arrays." Applied Acoustics 210 (July 2023): 109462. http://dx.doi.org/10.1016/j.apacoust.2023.109462.

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43

Haskou, Abdullah, Ala Sharaiha, and Sylvain Collardey. "Theoretical and practical limits of superdirective antenna arrays." Comptes Rendus Physique 18, no. 2 (2017): 118–24. http://dx.doi.org/10.1016/j.crhy.2016.11.003.

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44

Malyuskin, Oleksandr, and Vincent F. Fusco. "Ultracompact Retrodirective Antenna Arrays With Superdirective Radiation Patterns." IEEE Transactions on Antennas and Propagation 64, no. 7 (2016): 2923–35. http://dx.doi.org/10.1109/tap.2016.2560922.

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45

Zhou, Qing-Chen, Huotao Gao, Huajun Zhang, and Fan Wang. "ROBUST SUPERDIRECTIVE BEAMFORMING FOR HF CIRCULAR RECEIVE ANTENNA ARRAYS." Progress In Electromagnetics Research 136 (2013): 665–79. http://dx.doi.org/10.2528/pier12122301.

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46

Yu, Gaokun, Yanping Qiu, and Ning Wang. "A Robust Wavenumber-Domain Superdirective Beamforming for Endfire Arrays." IEEE Transactions on Signal Processing 69 (2021): 4890–905. http://dx.doi.org/10.1109/tsp.2021.3105754.

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47

Ziolkowski, Richard W. "Superdirective Circular Arrays of Electric and Huygens Dipole Elements." Electromagnetic Science 2, no. 1 (2024): 1–25. http://dx.doi.org/10.23919/emsci.2024.0007.

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48

Wang, Yong, Yixin Yang, Zhengyao He, Yuanliang Ma, and Bing Li. "Robust Superdirective Frequency-Invariant Beamforming for Circular Sensor Arrays." IEEE Signal Processing Letters 24, no. 8 (2017): 1193–97. http://dx.doi.org/10.1109/lsp.2017.2712151.

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49

Haskou, Abdullah, Sylvain Collardey, and Ala Sharaiha. "Measuring superdirective electrically small antenna arrays mounted on PCBs." Microwave and Optical Technology Letters 57, no. 10 (2015): 2269–74. http://dx.doi.org/10.1002/mop.29363.

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50

Ivanenkov, A. S., A. A. Rodionov, and N. V. Savel’yev. "Superdirective Acoustic Imaging with the Use of Flexible Microphone Arrays." Radiophysics and Quantum Electronics 64, no. 7 (2021): 471–81. http://dx.doi.org/10.1007/s11141-022-10148-5.

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