Crosstalk suppression in networked resistive sensor arrays using virtual ground technique

In 2D resistive sensor arrays, the interconnections are reduced considerably by sharing rows and columns among various sensor elements in such a way that one end of each sensor is connected to a row node and other end connected to a column node. This scheme results in total N?+?M interconnections for N?×?M array of sensors. Thus, it simplifies the interconnect complexity but suffers from the crosstalk problem among its elements. We experimentally demonstrate that this problem can be overcome by putting all the row nodes at virtually equal potential using virtual ground of high gain operational amplifiers in negative feedback. Although it requires large number of opamps, it solves the crosstalk problem to a large extent. Additionally, we get the response of all the sensors lying in a column simultaneously, resulting in a faster scanning capability. By performing lock-in-amplifier based measurements on a light dependent resistor at a randomly selected location in a 4?×?4 array of otherwise fixed valued resistors, we have shown that the technique can provide 86?dB crosstalk suppression even with a simple opamp. Finally, we demonstrate the circuit implementation of this technique for a 16?×?16 imaging array of light dependent resistors.     

2-D SPATIAL-SPECTRUM ESTIMATION FORWIDE-BAND SOURCES BASED ON INTERPOLATED CIRCULAR ARRAYS

In array signal processing, 2-D spatial-spectrum estimation is required to determine DOA of multiple signals. The circular array of sensors is found to possess several nice properties for DOA estimation of wide-band sources. C. U. Padmini, et al.(1994) had suggested that the frequency-direction ambiguity in azimuth estimation of wide-baud signals received by a uniform linear array (ULA) can be avoided by using a circular array, even without the use of any delay elements. In 2-D spatial-spectrum estimation for wide-band signals, the authors find that it is impossible to avoid the ambiguity in source frequency-elevation angle pairs using a circular array. In this paper, interpolated circular arrays are used to perform 2-D spatial-spectrum estimation for wide-band sources. In the estimation, a large aperture circular array (Υ>λmin/2) is found to possess superior resolution capability and robustness.     

Analysis of the structure of a terahertz-band 2D array with sensors on the edge of a superconductor transition

Film detectors on the edge of a Ti or Mo/Cu (T _c ≈ 0.4 K) superconductor transition are included in an N × M 2D array of planar polarization-separated antennas. The detectors are simultaneously sensors and absorbers of the total electric power from an antenna and bias circuits. The detectors are heat-insulated because of weak electron-phonon interaction with the substrate and because of the effect of the Andreev reflection of electrons in Nb electrodes. Readout based on the projection method necessitates only N + M channels in the case when the signal is continuously accumulated for all N × M detectors. Simulation of a 3 × 3 2D array at a frequency of 600 GHz shows that the matching band is ～30%.     

2D DOA and Frequency Estimation Method with One Vector-Sensor and Two Pressure Sensors Based on ESPRIT and Signal Power

We use one vector and two pressure sensors to form a sparse large aperture L-shape array for high performance two-dimensional (2D) direction of arrival (DOA) and frequency estimation. Because the number of sensors is small and there is only one vector sensor in the presented array, thus, the installation of sensors in the array is simpler and installation error is smaller, than the conventional array. Meanwhile, a high performance 2D DOA and frequency estimation method is presented. Firstly, utilizing single vector sensor and based on the ESPRIT, a group coarse 2D DOA and frequency parameters are obtained. Secondly, to restrain space noise or interference, a matrix filter is utilized to process the covariance matrix which comes from sensor array, so as to form a new covariance matrix which possesses high signal to noise ratio. Thirdly, utilizing the new covariance matrix and based on the ESPRIT again, accurate but ambiguity angles estimates are obtained. Fourthly, one signal power estimator and one optimization method are presented to solve the angle ambiguity and frequency ambiguity problems, respectively. The proposed method gains a high performance 2D DOA and frequency estimation results. Numerical simulations are performed to verify the feasibility of the proposed method.

     

多跳频信号波达方向与极化状态联合估计算法

为了有效辅助跳频(FH)网台分选和信号识别、跟踪,该文用正交偶极子对构造极化敏感阵列,基于空间极化时频分析,在欠定条件下实现了多跳频信号波达方向(Direction Of Arrival, DOA)与极化状态的高效联合估计。首先建立跳频信号的极化敏感阵列观察模型,然后根据参考阵元时频分析结果建立各跳信号的空间极化时频分布矩阵,再利用该矩阵中蕴含的信号极化-空域特征信息分别运用线性、二次型空间极化时频以及多项式求根共3种方法实现DOA与极化参数联合估计,最后蒙特卡罗仿真结果验证了该算法的有效性。     

Overcomplete Independent Component Analysis via Linearly Constrained Minimum Variance Spatial Filtering

Independent Component Analysis (ICA) designed for complete bases is used in a variety of applications with great success, despite the often questionable assumption of having N sensors and M sources with N≥M. In this article, we assume a source model with more sources than sensors (M>N), only L<N of which are assumed to have a non-Gaussian distribution. We argue that this is a realistic source model for a variety of applications, and prove that for ICA algorithms designed for complete bases (i.e., algorithms assuming N=M) based on mutual information the mixture coefficients of the L non-Gaussian sources can be reconstructed in spite of the overcomplete mixture model. Further, it is shown that the reconstructed temporal activity of non-Gaussian sources is arbitrarily mixed with Gaussian sources. To obtain estimates of the temporal activity of the non-Gaussian sources, we use the correctly reconstructed mixture coefficients in conjunction with linearly constrained minimum variance spatial filtering. This results in estimates of the non-Gaussian sources minimizing the variance of the interference of other sources. The approach is applied to the denoising of Event Related Fields recorded by MEG, and it is shown that it performs superiorly to ordinary ICA.     

阵元失效条件下的高精度DOA估计方法

为解决波达方向（Direction Of Arrival,DOA）估计方法在阵元失效条件下性能下降甚至失效的问题,本文提出一种基于Toeplitz协方差矩阵重构的DOA估计方法.首先,提出了一种失效阵元检测方法,并根据阵列的鲁棒性将失效阵元分为冗余阵元失效和非冗余阵元失效两种情况.然后,分别针对两种失效场景提出相应DOA估计方法：一是冗余阵元失效,利用阵列冗余度,结合差联合阵列对失效阵元进行填充;二是非冗余阵元失效,利用阵列冗余度进行填充后仍存在空洞,结合矩阵填充理论,用迹范数代替秩范数进行凸松弛以恢复协方差矩阵,进而实现对虚拟阵元空洞的填充,恢复阵列自由度.相对于稀疏类算法,有效消除了模型失配的影响.最后,基于子空间方法进行DOA估计.理论和仿真结果表明,相对于现有方法,本文方法有效避免了阵元失效的影响,提高了估计精度.     

Efficient 2D DOA estimation of coherent signals in spatially correlated noise using electromagnetic vector sensors

This paper considers a new azimuth-elevation DOA estimation algorithm for multiple signals using electromagnetic vector sensor array. We firstly exploit the planar-plus-an-isolated sensor array geometry (Li et al. in IEE Proc Radar Sonar Navig 143(5):295–299, 1996) to define a full rank cross-covariance matrix. Then we develop an efficient ESPRIT-like algorithm using the so-called propagator to estimate the steering vectors of electromagnetic vector sensor, without performing eigen-decomposition into signal subspaces. Finally, we compute the vector cross product to obtain the closed-form azimuth-elevation angle estimates. The new algorithm does not require 2D iterative searching, and is applicable to coherent (fully correlated) signals and spatially correlated noise. In addition, the proposed algorithm offers enhanced estimation precision by sparse array aperture extension, but suffers no DOA cyclical ambiguity. Monte-Carlo simulations are presented to verify the effectiveness of the proposed algorithm.     

Acoustic vector-sensor array processing

A method is presented for localizing acoustic sources using an array of sensors, the output of each being a vector consisting of the acoustic pressure and acoustic particle velocity. The authors derive a compact expression for the Cramer-Rao bound (CRB) on the estimation errors of the source direction-of-arrival (DOA) parameters in the multi-source multi-vector-sensor model. An explicit expression is found for the mean-square angular error (MSAE) bound for source localization with a single vector sensor. The authors present two simple algorithms for estimating the source DOA with this sensor, along with their statistical performance analyses     

Direction-of-arrival estimates in the presence of wavelength, gain,and phase errors

Direction-of-arrival (DOA) estimation using an array of sensors relies on an accurate characterization of the array manifold. In the absence of characterization errors, established techniques like MUSIC can be shown to perform well both theoretically and in simulation. However, in the presence of unknown sensor and/or source characteristics, the performance of most methods degrades significantly. We consider the problem of estimating gain and phase errors of an array of sensors whose physical positions are known. Our algorithm assumes that the gain and phase characteristics of the sensors are independent of DOA and employs multiple calibration sources with known DOA's. It differs from other algorithms in that the signal wavelengths are unknown. A least-squares formulation of the problem is then shown to be NP-complete, implying that an efficient solution is unlikely to exist. An implicit, enumerative technique is used to obtain the exact solution. For the special case of collinear sensors, we further show that an inherent ambiguity in the model prevents exact phase characterization unless the wavelength of one calibration source is assumed known. A theorem is presented relating the error in DOA to the difference between the assumed and true wavelengths of this calibration source. Simulation results are presented for both noncollinear and collinear arrays     

基于稀疏对称阵列的近场源定位

 在阵元数目一定的情况下,为了扩大阵列的孔径,本文采用非均匀稀疏对称阵列,其阵元间距不受四分之一载波波长的限制.为了避免由此带来的角度模糊问题和复杂的二维搜索,本文基于降秩思想,提出了近场源波达方向(DOA,Direction Of Arrival)和距离的无模糊估计方法并且分析了角度估计的模糊性.此方法利用二阶统计量,只需进行一维搜索,且参数自动配对.因此,计算量大大地减少,且在阵元个数有限的情况下,大大地提高了空间分辨率.计算机仿真结果证实了此方法的有效性.     

On the Resiliency of MUSIC Direction Finding Against Antenna Sensor Coupling

Many classical direction of arrival (DOA) estimation algorithms suffer from sensitivity to sensor coupling. By applying a group of auxiliary sensors in a uniform linear array (ULA), we prove the resiliency of the MUSIC direction finding algorithm against array sensor coupling. We show that the performance of MUSIC algorithm under antenna array with unknown coupling can be very close to the case with known coupling. We can also estimate the mutual coupling coefficients before refining the DOA estimates by utilizing an extended sensor array. Moreover, our analysis on the effect of mutual coupling in direction finding illustrates the existence of some blind angles which should be avoided when the array is designed. Our simulation results corroborate our analysis.     

电磁矢量阵列的四元数Toeplitz矩阵重构算法

对于电磁矢量阵列的相干信源波达方向估计,针对空间平滑算法解相干时减少阵列有效孔径的问题,提出了一种四元数Toeplitz矩阵重构算法。首先,根据四元数的正交特性建立了信号接收模型,很好地保持了电磁矢量阵列的阵元输出信号两分量间的正交性,同时保证了波达方向角信息和极化信息都能包含在重构矩阵中;然后,在阵列各阵元接收数据与参考阵元接收数据的相关函数基础上,构成Hermitian Toeplitz矩阵,从而实现解相干。该算法与空间平滑算法相比增加了相干信源估计个数,且在低信噪比和入射角度接近时具有更好的估计性能,通过仿真实验得到了验证。     

Direction of arrival estimation of non-Gaussian signals for nested arrays: Applying fourth-order difference co-array and the successive method

Herein, we estimate the direction of arrival (DOA) of non-Gaussian signals for nested arrays (NAs) by implementing the fourth-order difference co-array (FODC) and successive methods. In particular, considering the property of the fourth-order cumulant (FOC), we first construct the FODC of the NA, which can obtain O(N⁴) virtual elements using N physical sensors, whereas conventional FOC methods can only obtain O(N²) virtual elements. In addition, the closed-form expression of FODC is presented to verify the enhanced degrees of freedom (DOFs). Subsequently, we exploit the vectorized FOC (VFOC) matrix to match the FODC of the NA. Notably, the VFOC matrix is a single snapshot vector, and the initial DOA estimates can be obtained via the discrete Fourier transform method under the underdetermined correlation matrix condition, which utilizes the complete DOFs of the FODC. Finally, fine estimates are obtained through the spatial smoothing-Capon method with partial spectrum searching. Numerical simulation verifies the effectiveness and superiority of the proposed method.     

Improved Direction-of-Arrival Estimation Using Wavelet Based Denoising Techniques

In this paper, we explore the use of wavelet based denoising techniques to improve the Direction-of-Arrival (DOA) estimation performance of array processors at low SNR. Traditional single sensor wavelet denoising techniques are not suitable for this application since they fail to preserve the intersensor signal correlation. We propose two correlation preserving techniques for denoising multi-sensor signals: (1) the Temporal Wavelet Array Denoising (TWAD) technique developed by Rao and Jones [IEEE Trans. Signal Processing, vol. 48, pp. 1225–1234, 2000], and (2) a new Spatial Wavelet Array Denoising (SWAD) technique. It is shown that SWAD offers the advantage of a significant reduction in computational complexity at the cost of a slight reduction in SNR gain. The denoised array data is used for DOA estimation by the MUSIC algorithm. Simulation results are presented for MUSIC (without denoising), TWAD-MUSIC, and SWAD-MUSIC, to illustrate the improvement in DOA estimation performance brought about by denoising.

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Multi-Source DOA Estimation Using an Acoustic Vector Sensor Array Under a Spatial Sparse Representation Framework

This paper investigates the estimation of the two-dimensional direction of arrival (2D-DOA) of sound sources using an acoustic vector sensor array (AVSA) within a spatial sparse representation (SSR) framework (AVS-SSR-DOA). SSR-DOA estimation methods rely on a pre-defined grid of possible source DOAs and essentially suffer from the grid-effect problem: Reducing the size of the grid spacing leads to increased computational complexity. In this paper, we propose a two-step approach to tackle the grid-effect problem. Specifically, omnidirectional sensor array-based SSR-DOA estimation firstly provides initial low-cost DOA estimates using a coarse grid spacing. Secondly, a closed-form solution is derived by exploring the unique subarray manifold matrix correlation and subarray signal correlation of the AVSA, which allows for DOA estimates between the pre-defined angles of the grid and potentially achieves higher DOA estimation accuracy. To further alleviate the estimation bias due to noise and sparse representation model errors, line-fitting (LF) techniques and subspace techniques (ST) are employed to develop two novel DOA estimation algorithms, referred to as AVS-SSR-LF and AVS-SSR-ST, respectively. Extensive simulations validate the effectiveness of the proposed algorithms when estimating the DOAs of multiple sound sources. The proposed AVS-SSR-ST algorithm achieves high DOA estimation accuracy and is robust to various noise levels and source separation angles.     

Three-Dimension Localization of Wideband Sources Using Sensor Network

Usually source localization using sensor networks requires many sensors to localize a few number of sources, and it is still very troublesome to deal with coherent sources. When the three-dimensional (3-D) space are considered, the localization will become more difficult. A new approach is proposed to localize 3-D wideband coherent sources based on distributed sensor network, which consists of two nodes and each node contains only two sensors. Direction-of-arrival (DOA) estimation is performed at each node by employing a new noise subspace proposed. Combining the pattern matching idea and the prior geometrical information of sources, a cost function is constructed to estimate the rough positions. A rotational projection algorithm is proposed to estimate the heights of sources and correct the rough positions, and consequently the localization of 3-D sources could be achieved. Numerical examples are provided to demonstrate the effectiveness of this approach.     

线性电磁矢量阵列的空时极化平滑算法及相干源多参数估计

该文提出了一种基于线性电磁矢量阵列的空时极化平滑算法(STPSA),解决了相干信源的频率,2维波达方向和极化参数的联合估计问题。该算法通过对不同子阵和矢量传感器不同传感单元的测量数据及其相应延迟数据进行平滑,实现解相干预处理并抑制噪声干扰,然后利用传播算子方法得到相应的参数估计。与目前的算法相比,该文提出的算法能够同时实现相干信源的多个参数联合估计;无需通过奇异值或特征值分解提取信号/噪声子空间,也无须进行参数搜索,有较低的运算量;另外,算法能够通过增加相邻阵元的间隔来扩展阵列的有效孔径,改善估计性能,且无须进行参数去模糊处理。仿真结果验证了算法的有效性。     

A probabilistic‐based approach for direction‐of‐arrival estimation and localization of multiple sources

This article contributes to science at two points. The first contribution is at a point of introducing a novel direction‐of‐arrival (DOA) estimation method which based on subspaces methods called Probabilistic Estimation of Several Signals (PRESS). The PRESS method provides higher resolution and DOA accuracy than current models. Second contribution of the article is at a point of localizing the unknown signal source. The process of localization achieved by using DOA information for the first time. The importance of localization exists in a large area of engineering applications. The aim is to determine the location of multiple sources by using PRESS with minimum effort of computation. We used the maximum probabilistic process in this study. Initially, all the signals are collected by the array of sensors and accurately identified using the proposed algorithm. The receiver at the best in test estimates the source location using only the knowledge of the geographical latitude and longitude values of the array of sensors. Several test points with an accurately calculated angle of arrival enable us to draw linear lines towards the transmitter. The transmitter location can be accurately identified with the line of interceptions. Simulation and numerical results show the outstanding performance of both the DOA estimation method and transmitter localization approach compared with many classical and new DOA estimation methods. The PRESS localization method first tested at 19°, 26°, and 35° with an signal‐to‐noise ratio (SNR) value of ‐5 dB. The PRESS method produced results with an extremely low bias of 0 and 0.00080°. The simulation tests are repeated and produced results with zero bias, which give the exact location of the unknown source.     

Spectrum blind reconstruction and direction of arrival estimation of multi-band signals at sub-Nyquist sampling rates

In this paper we consider the problem of spectrum blind reconstruction (SBR) and direction of arrival (DOA) estimation of constituent sources of a disjoint multi-band signal (MBS) at sub-Nyquist sampling rates. Transformation of the problem into frequency domain indicates that the steering vector is a function of both the carrier frequency and its corresponding DOA. Employing the existing two dimensional frequency-DOA search algorithms suffers from the drawbacks of increased computational complexity and ambiguity issues. To overcome these drawbacks, in this paper we propose a simple modification to the receiver architecture by introducing an additional delay channel at every sensor. Estimation algorithms based on ESPRIT is then employed to estimate the carrier frequencies, while MUSIC algorithm is employed to estimate their corresponding DOAs. Using the knowledge of both these parameters, the MBS spectrum is then reconstructed. A two-dimensional iterative grid refinement algorithm is also described to further improve the estimation accuracy in the presence of noise. Identifiability issues are addressed and the conditions for unique identifiability are discussed. Furthermore, by assuming a two dimensional uniform array the advantages of the proposed approach in terms of identifiability is also provided. We further show that an \(M \ge N+1\) sensors and an overall sampling rate of at least \(2(N+1)B\) would be sufficient to achieve SBR and DOA estimation of an MBS comprising of N disjoint bands each of maximal bandwidth B. Numerical simulations are finally presented which verifies the validity of the proposed approach and compares the performance against appropriate bounds.