Asymptotic Performance Analysis of the MUSIC Algorithm for Direction-of-Arrival Estimation

Jeong, Sung Hoon; Son, Byung-Kwon; Lee, Joon-Ho

doi:10.3390/app10062063

Cited by 10 publications

(11 citation statements)

References 31 publications

(114 reference statements)

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“…Another contribution of the proposed scheme is that the azimuth estimation error in (15) and the elevation estimation error in (16) can be obtained without exhaustive search of interferometer cost function in (2). In Monte-Carlo simulation, two-dimensional search with respect to θ and ψ of the cost function in (3) should be performed, which is twodimensional nonlinear optimization.…”

Section: Discussionmentioning

confidence: 99%

“…In recent previous studies [1][2][3], we have proposed how the closed-form expressions of the MSE of various DOA estimation algorithms can be analytically obtained.…”

Section: Introductionmentioning

confidence: 99%

“…In [1][2][3], closed-form expressions of the MSEs of the estimation errors for the maximum likelihood DOA estimation, the MUSIC algorithm and amplitude comparison monopulse algorithm, respectively, have been derived.…”

Section: Introductionmentioning

confidence: 99%

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Performance Analysis of Interferometer Algorithm under Phase Measurement Error

Lee

2021

Applied Sciences

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Direction finding has been extensively studied over the past decades and a number of algorithms have been developed. In direction finding, theoretic performance prediction is a fundamental problem. This paper addresses the performance analysis issue of interferometer-based 2D angle of arrival estimation using uniform circular array (UCA). We propose an analytic method for performance analysis of interferometer in the presence of Gaussian or uniform error in phase measurement of incident signal on each sensor. The analytic mean square error (MSE), which is approximately equal to the MSE of actual interferometer-based DOA estimation, is derived via Taylor expansion and approximation. The derived analytic MSE is useful for predicting how the MSE of the interferometer-based DOA estimation algorithm is dependent on the phase measurement error.

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Section: Discussionmentioning

confidence: 99%

“…In recent previous studies [1][2][3], we have proposed how the closed-form expressions of the MSE of various DOA estimation algorithms can be analytically obtained.…”

Section: Introductionmentioning

confidence: 99%

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Performance Analysis of Interferometer Algorithm under Phase Measurement Error

Lee

2021

Applied Sciences

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“…The MUSIC and ESPRIT algorithms are the most widely used for AoA calculation [27], [28], but have some limitations. For example, performance degradation in the lack of line-of-sight, and the assumption of ideal orthogonality between the noise and sample subspaces, which does not hold in real world conditions (due to multi-path effects) [29].…”

Section: B Algorithms For Aoa Calculationmentioning

confidence: 99%

Self-Localization via Circular Bluetooth 5.1 Antenna Array Receiver

Paulino

Pessoa

2023

IEEE Access

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Future telecommunications aim to be ubiquitous and efficient, as widely deployed connectivity will allow for a variety of edge/fog based services. Challenges are numerous, e.g., spectrum overuse, energy efficiency, latency and bandwidth, battery life and computing power of edge devices. Addressing these challenges is key to compose the backbone for the future Internet-of-Things (IoT). Among IoT applications are Indoor Positioning System and indoor Real-Time-Location-Systems systems, which are needed where GPS is unviable. The Bluetooth Low Energy (BLE) 5.1 specification introduced Direction Finding to the protocol, allowing for BLE devices with antenna arrays to derive the Angle-of-Arrival (AoA) of transmissions. Well known algorithms for AoA calculation are computationally demanding, so recent works have addressed this, since the low-cost of BLE devices may provide efficient solutions for indoor localization. In this paper, we present a system topology and algorithms for self-localization where a receiver with an antenna array utilizes the AoAs from fixed battery powered beacons to self-localize, without a centralized system or wall-power infrastructure. We conduct two main experiments using a BLE receiver of our own design. Firstly, we validate the expected behaviour in an anechoic chamber, computing the AoA with an RMSE of 10.7°. Secondly, we conduct a test in an outdoor area of 12 by 12 meters using four beacons, and present pre-processing steps prior to computing the AoAs, followed by position estimations achieving a mean absolute error of 3.6 m for 21 map positions, with a minimum as low as 1.1 m.

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“…Some researchers have designed a water quality monitoring system, which is also based on WSN technology. The pH value, pollution level, temperature, and turbidity of water can be monitored, so that the environmental protection department can provide realtime guidance for industries such as industry, plantation, and aquaculture that depend on local water quality conditions [21][22][23].…”

Section: Related Workmentioning

confidence: 99%

Detection and Early Warning of Toxic Gases Based on Semiconductor Wireless Sensors

et al. 2021

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This paper studies a semiconductor wireless sensor system, which is composed of a semiconductor wireless sensor sampling circuit, gas-sensitive signal alarm and wireless transmitting circuit, and wireless radio frequency signal receiving circuit. The system is suitable for wireless monitoring of hydrogen fluoride gas in chemical plants. The hydrogen fluoride gas sensor is designed, integrated, and classified according to the polarity and size of the sensor output signal. The signal processing circuit of the sensor output signal is made with an integrated design. This paper developed a simulation experimental system for the wireless monitoring network characteristics of toxic hydrogen fluoride gas and completed the monitoring system’s sensor characteristic calibration and accuracy comparison simulation experiment, the communication distance test experiment of the communication system, and the research experiment on the influence of environmental humidity on the sensor characteristics of the monitoring system. In terms of software, the workflow of network nodes has been optimized. Since the structure of the wireless sensor network is not exactly the same in different application fields, the toxic gas monitoring system based on wireless sensor networks must focus on extending the network’s life cycle. Without affecting the normal operation of the system, distributed compressed sensing can greatly extend the service life of the system. Therefore, this subject combines the compressed sensing technology developed in recent years with the air monitoring system for the processing of transmission data, in order to achieve the purpose of further reducing the energy consumption of the system. The simulation experiment demonstrated that the lmF neural network combined with gas sensor array technology can realize qualitative identification, quantitative analysis of single gas, and quantitative analysis of mixed combustible gas. The research work in this area also provides a new way to further combine the miniature hydrogen fluoride gas sensor unit with sensor technology, integrate the hydrogen fluoride gas sensor unit and the electronic tag, and expand the wireless application of the gas sensor.

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Asymptotic Performance Analysis of the MUSIC Algorithm for Direction-of-Arrival Estimation

Cited by 10 publications

References 31 publications

Performance Analysis of Interferometer Algorithm under Phase Measurement Error

Performance Analysis of Interferometer Algorithm under Phase Measurement Error

Self-Localization via Circular Bluetooth 5.1 Antenna Array Receiver

Detection and Early Warning of Toxic Gases Based on Semiconductor Wireless Sensors

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