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Generalized coprime sampling of Toeplitz matrices
2016
2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
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., the Toeplitz property. In this paper, we propose a general coprime sampling concept that implements effective compression of Toeplitz covariance matrices. ...
., spectrum estimation, only the second-order statistics are required. ...
SIMULATION RESULTS For illustrative purposes, we demonstrate the key distinctions on the performance of spectrum estimation between different choices of arguments in the generalized coprime sampling scheme ...
doi:10.1109/icassp.2016.7472522
dblp:conf/icassp/QinZAZ16
fatcat:4sesvljk7rcghnp3euxr57b63a
Improved Coarray Interpolation Algorithms with Additional Orthogonal Constraint for Cyclostationary Signals
2018
Sensors
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In order to further improve the performance of the structured matrix completion, we define the spatial spectrum sampling operations and the derivative (conjugate) correlation subspaces, which can be exploited ...
Many modulated signals exhibit a cyclostationarity property, which can be exploited in direction-of-arrival (DOA) estimation to effectively eliminate interference and noise. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/s18010219
pmid:29342904
pmcid:PMC5796288
fatcat:k45exa7425gn3pld55npzgytwq
Robust adaptive beamforming for coprime array with steering vector estimation and covariance matrix reconstruction
2020
IET Communications
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The CV-ULA Capon spectrum estimator is modified to obtain the directions and powers of all impinging signals. ...
In the coprime virtual ULA (CV-ULA), they prove that a constructed Toeplitz matrix can be taken as the sample covariance matrix from the perspective of virtual signal characteristics. ...
In [44] , the virtual array spatial spectrum estimator is employed in a generated coprime virtual ULA (CV-ULA) to obtain the directions of the sources and the powers of the interferences. ...
doi:10.1049/iet-com.2019.1314
fatcat:hgmrteaenva4jhgwwx7bn6e7ja
High-resolution frequency estimation using generalized coprime sampling
2015
Mobile Multimedia/Image Processing, Security, and Applications 2015
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The coprime sampling scheme allows signal frequency estimation through two sub-Nyquist samplers where the down-sampling rates M and N are coprime integers. ...
As such, the existing coprime sampling techniques are represented as a special case of a much broader and generalized scheme. ...
ACKNOWLEDGMENTS This work was supported in part by Office of Naval Research (ONR) under Grant No. N00014-13-1-0061. ...
doi:10.1117/12.2178341
fatcat:zdb76euxfjcsxhuldiwlgctzwy
Direction-of-Arrival Estimation with Coarray ESPRIT for Coprime Array
2017
Sensors
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However, existing algorithms exploiting coprime array usually adopt predefined spatial sampling grids for optimization problem design or include spectrum peak search process for DOA estimation, resulting ...
A coprime array is capable of achieving more degrees-of-freedom for direction-of-arrival (DOA) estimation than a uniform linear array when utilizing the same number of sensors. ...
Conflicts of Interest: The authors declare no conflict of interest.
Abbreviations The following abbreviations are used in this manuscript: ...
doi:10.3390/s17081779
pmid:28771212
pmcid:PMC5579971
fatcat:x32sdkhmajamxflenpv7gx3pgy
Direction-of-Arrival Estimation in Coprime Array Using the ESPRIT-Based Method
2019
Sensors
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In this paper, a new DOA estimation algorithm for coprime array based on the estimation of signal parameter via rotational invariance techniques (ESPRIT) is proposed. ...
Finally, the closed-form solution for DOA estimation in coprime array is obtained. ...
Then the modified ESPRIT is adopted for DOA estimation to avoid the predefined spatial sampling grids and the spectrum searching step. ...
doi:10.3390/s19030707
fatcat:6mkvdktjljeexhkjicbv5lwcu4
Interpolation-Based Direction-of-Arrival Estimation for Coprime Arrays via Covariance Matrix Fitting
2020
IEEE Access
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However, since the corresponding virtual array constructed by the coprime array is always a non-uniform linear array (non-ULA), most existing direction-of-arrival (DOA) estimation algorithms fail to utilize ...
Numerical experiments validate the superiority of the proposed interpolation-based DOA estimation algorithm in terms of DOF characteristic, resolution ability and estimation accuracy compared with several ...
From the perspective of Toeplitz matrix reconstruction in this paper as well, we propose a novel virtual array interpolation-based DOA estimation algorithm for the coprime array. ...
doi:10.1109/access.2020.3011161
fatcat:twxdidvb3jf3tdpc7qf5oshw6q
Fast DOA Estimation Algorithms via Positive Incremental Modified Cholesky Decomposition for Augmented Coprime Array Sensors
2023
Sensors
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The approach incorporates coprime sampling on the augmented array to generate a non-uniform, discontinuous virtual array. ...
This paper proposes a fast direction of arrival (DOA) estimation method based on positive incremental modified Cholesky decomposition atomic norm minimization (PI-CANM) for augmented coprime array sensors ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/s23218990
pmid:37960689
pmcid:PMC10649557
fatcat:fct6hsels5fc3fivjb3us6asiu
Low-Rank Toeplitz Matrix Estimation via Random Ultra-Sparse Rulers
[article]
2019
arXiv
pre-print
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We study how to estimate a nearly low-rank Toeplitz covariance matrix T from compressed measurements. ...
We also show experimentally that our ultra-sparse rulers give significantly more robust and sample efficient estimation then baseline methods. ...
Acknowledgements We thank Yonina Eldar for many valuable conversations on sparse rulers and covariance estimation. We also thank Piya Pal for bringing the related work of [29] to our attention. ...
arXiv:1911.08015v1
fatcat:o7h3ykhijnhrzhekfiynsvez4e
Adaptive beamforming algorithm for coprime array based on interference and noise covariance matrix reconstruction
2021
IET radar, sonar & navigation
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In the virtual array generated by the coprime array, the authors prove from the perspective of virtual signals that the constructed Toeplitz matrix is equivalent to a virtual ULA with more array elements ...
Subsequently, a high-resolution subspace algorithm is used to estimate the direction of arrival (DOA) of the signals, and the estimated DOA is used to reconstruct the direction vector (DV) of the coprime ...
[35] , in the generated VULA, the VULA spatial spectrum estimator is used to obtain the power of the signal, and the DOA estimation of the desired signal is used to directly calculate the DSDV. ...
doi:10.1049/rsn2.12211
fatcat:hvczioxnmrcipp77nlgvzbcik4
Robust Direction-of-Arrival Estimation for Coprime Array in the Presence of Miscalibrated Sensors
2020
IEEE Access
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by
i j e j , the MCC for the NNM problem is given in the form of sample estimator, as Since R is a Hermitian Toeplitz matrix, all of the elements of this matrix can be defined by its first column ...
SIGNAL MODEL OF COPRIME ARRAY In this work, the extended coprime array is employed, which is generated by the coprime integers pair , M N . ...
The reason lies in that the sampling grids defined by the fixed sampling interval lead to a basis mismatch, limiting the estimation accuracy of the CS-MCC algorithm. ...
doi:10.1109/access.2020.2971842
fatcat:pxzcsg6e4rap5ifi75unzzn34i
Sparsity-Based DOA Estimation with Gain and Phase Error Calibration of Generalized Nested Array
2020
Mathematical Problems in Engineering
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or even failure of the direction of arrival (DOA) estimation algorithms. ...
However, for optimal performance of sparse arrays, it is usually assumed that the circumstances are ideal. ...
For DOA estimation performance comparison, the nested array and coprime array are utilized. ...
doi:10.1155/2020/1720310
fatcat:eppxie3pobbenfjbw4ftx32gla
Multi-rate coprime sampling for frequency estimation with increased degrees of freedom
2019
Signal Processing
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For frequency estimation, the recently proposed coprime sampling scheme receives increasing interest as it reduces sampling rate and exhibits high degrees of freedom. ...
However, the virtual coarray generated by coprime configuration is a linear virtual array structure with some missing elements. ...
MUSIC spectrum and number of detectable frequencies We first consider the case of M = 4 and N = 5 to show the MUSIC spectrum of the proposed multirate coprime sampling scheme. ...
doi:10.1016/j.sigpro.2019.107258
fatcat:ksz4lowwofglljp7y4xcsomrty
Fractional low-order moments based DOA estimation with co-prime array in presence of impulsive noise
2021
IEEE Access
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By studying the properties of FLOS of received signal, the general idea of coprime technique can then be adapted for DOA estimation in presence of impulsive noise. ...
Toeplitz reconstruction method onz FLOM and z PFLOM , and estimate the rank restore data covariance matrices. • Apply MUSIC algorithm on rank restore data covariance matrices for DOA estimation. ...
doi:10.1109/access.2021.3057381
fatcat:urbi3iwuorewhpuox76zvm2xey
Compressive Covariance Sensing: Structure-based compressive sensing beyond sparsity
2016
IEEE Signal Processing Magazine
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Notable examples include compressed sensing [1], support recovery [2], sub-Nyquist sampling of multiband or multitone signals [3]-[5], and array design for aperture synthesis imaging [6]- [8] . ...
In compressed sensing, for example, signals can be reconstructed from sub-Nyquist samples provided that they admit a sparse representation in a known transformed domain. ...
It can be seen that S L 2 1 = -for Toeplitz matrices, S L = for circulant matrices, and S d 2 1 = -for d -banded matrices (see Figure 2 ). ...
doi:10.1109/msp.2015.2486805
fatcat:xfoyfmqgqzeprk2jbd6mbmg3he
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