Theoretical and Practical Solutions for High-Order Superdirectivity of Circular Sensor Arrays

Ma, Yuanliang; Yang, Yixin; He, Zhengyao; Yang, Kunde; Sun, Chao; Wang, Yingmin

doi:10.1109/tie.2012.2185020

Cited by 68 publications

(36 citation statements)

References 26 publications

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“…Modal beamforming, on the other hand, is based on the decomposition of the acoustic field into it's so-called 'modes' and utilizing these modes for developing compact and high-performance acoustic arrays [3]. A modal beamformer for circular pressure arrays was derived from an optimum processing perspective and was experimentally validated using a 16-hydrophone array [4]. A circular modal beamformer that relies on 2-D vector sensors was proposed by Zou [6].…”

Section: Introductionmentioning

confidence: 99%

Modal beamforming for small circular arrays of particle velocity sensors

Gur

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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Abstract-Vector sensors are directional receivers that measure the vectorial particle velocity associated with an acoustic wave rather than the scalar pressure. Therefore, arrays of vector sensors possess some desirable directional properties compared to conventional arrays of pressure sensors. In this paper, a modal beamformer for circular arrays of 1-D acoustic vectors sensors are presented. Arrays of both radially and circumferentially oriented vector sensors are considered. It is shown that the highly directional modes of the acoustic velocity field can be extracted from the sensor measurements using the spatial Fourier transform. These modes are weighted and combined to form narrow steerable beams. The highest order of mode that can be extracted is limited by the number of vector sensors utilized in the array. Theoretical analysis and numerical simulations indicate that the proposed modal beamformer attains the same directivity performance as that of circular pressure sensor array beamformers but outperforms them in terms of white noise gain. In addition, it uses half the number of sensors to achieve the same directivity performance of a circular vector sensor array modal beamformer reported previously in the literature. The proposed method is suitable for in-air and underwater low frequencies array processing applications.

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Section: Introductionmentioning

confidence: 99%

Modal beamforming for small circular arrays of particle velocity sensors

Gur

2017

2017 25th European Signal Processing Conference (EUSIPCO)

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“…[1][2][3][4][5] Among different aspects of array signal processing, array pattern synthesis has been an active research area. One primary idea of pattern synthesis is to design the weighting vector such that certain errors (e.g., a mean square error) between the desired and synthesized beampatterns are minimized under some given constraints.…”

Section: Introductionmentioning

confidence: 99%

Broadband pattern synthesis for circular sensor arrays

Wang

Yang

et al. 2014

The Journal of the Acoustical Society of America

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The solutions of pattern synthesis are derived for circular sensor arrays based on the criterion of minimizing the mean square error between the desired and synthesized beampatterns. Specifically, the optimal weighting vector, the output beam, and the minimum mean square error are all expressed in closed-form exactly when the desired beampattern is properly formulated. These results provide a more effective and convenient scheme for designing practical frequency-invariant beamformers. Simulations and experimental results demonstrate the performance of the proposed approach.

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“…Among those well-established theories and technologies, superdirectivity [20][21][22][23][24] is a huge attraction to the researchers. This concept claims that a small size array can perform as high directivity as a largesize array, while the directivity of the large-size array is achieved by conventional beamforming.…”

Section: Introductionmentioning

confidence: 99%

“…Although the optimum performance of superdirective beamforming is very intriguing, the array uncertainty can make this theoretical performance even worse than that of conventional beamforming. To increase its robustness against array uncertainty, many methods [22][23][24][25][26][27][28] were presented from different perspectives. Most of these methods could be essentially classified as diagonal loading methods, and they have a common defect that how to choose an optimal loading value to calculate weight are not clearly illustrated.…”

Section: Introductionmentioning

confidence: 99%

Robust Superdirective Beamforming for Hf Circular Receive Antenna Arrays

Zhou¹,

Gao²,

Zhang³

et al. 2013

PIER

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Abstract-Superdirective beamforming can highly reduce the aperture size of high-frequency receive array. At the same time, the closely spaced elements of a small aperture array can make it low efficiency and sensitivity to the array uncertainty, which limit its application in practice. Using a parameter called sensitivity factor, we found that array efficiency and robustness against array error could be considered simultaneously. On that basis, we derive a novel superdirective beamforming criterion based on a constrained sensitivity factor for the HF circular receive array. New method is analytical and computationally inexpensive. Through making the directive gain with a given sensitivity factor maximum, we calculate the optimal weights of the array elements. To illustrate the proposed method can increase the acceptance of HF superdirective receive arrays in practice, several numerical results are provided.

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Theoretical and Practical Solutions for High-Order Superdirectivity of Circular Sensor Arrays

Cited by 68 publications

References 26 publications

Modal beamforming for small circular arrays of particle velocity sensors

Modal beamforming for small circular arrays of particle velocity sensors

Broadband pattern synthesis for circular sensor arrays

Robust Superdirective Beamforming for Hf Circular Receive Antenna Arrays

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