An Interpolation-Based Frequency Estimator Synthetic Approach for Sinusoid Wave

Song, Jun; Liu, Yunfei; Yu, Lian

doi:10.1109/wicom.2011.6040127

Cited by 3 publications

(3 citation statements)

References 3 publications

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“…Inspired by [ 22 ], we can modify the standard Rife algorithm for DOA estimation. Since we know if the true DOA lies in middle of the grid resolution, the estimation performance is good, so we can find two new atoms in order to make the true DOA lie in the middle of these two new atoms when the estimation DOA based on the standard Rife algorithm is approximated to the on-grid estimation angle, so we propose two loops for the modified Rife algorithm.…”

Section: Refining the Doa Estimation Using The Rife Algorithmmentioning

confidence: 99%

“…The basic idea of these algorithms is that the approximate sparse solution is found in the first step and then grid or optimization search algorithm refinement is adopted. Inspired by the frequency estimation approach based on FFT using the Rife algorithm and M-Rife algorithm [ 22 ], we introduce in this paper a simple approach that is the modified Rife algorithm for DOA estimation based on the proposed SRBWEV algorithm (MRife-DOA). Firstly we finish an approximate on-grid DOA estimation by using the SRBWEV algorithm.…”

Section: Introductionmentioning

confidence: 99%

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A Modified Rife Algorithm for Off-Grid DOA Estimation Based on Sparse Representations

Chen

Guo

et al. 2015

Sensors

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In this paper we address the problem of off-grid direction of arrival (DOA) estimation based on sparse representations in the situation of multiple measurement vectors (MMV). A novel sparse DOA estimation method which changes MMV problem to SMV is proposed. This method uses sparse representations based on weighted eigenvectors (SRBWEV) to deal with the MMV problem. MMV problem can be changed to single measurement vector (SMV) problem by using the linear combination of eigenvectors of array covariance matrix in signal subspace as a new SMV for sparse solution calculation. So the complexity of this proposed algorithm is smaller than other DOA estimation algorithms of MMV. Meanwhile, it can overcome the limitation of the conventional sparsity-based DOA estimation approaches that the unknown directions belong to a predefined discrete angular grid, so it can further improve the DOA estimation accuracy. The modified Rife algorithm for DOA estimation (MRife-DOA) is simulated based on SRBWEV algorithm. In this proposed algorithm, the largest and sub-largest inner products between the measurement vector or its residual and the atoms in the dictionary are utilized to further modify DOA estimation according to the principle of Rife algorithm and the basic idea of coarse-to-fine estimation. Finally, simulation experiments show that the proposed algorithm is effective and can reduce the DOA estimation error caused by grid effect with lower complexity.

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Section: Refining the Doa Estimation Using The Rife Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Modified Rife Algorithm for Off-Grid DOA Estimation Based on Sparse Representations

Chen

Guo

et al. 2015

Sensors

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“…However, these algorithms still have a large computational burden because of the iterative process. In [15], the authors present an M-Rife algorithm for off-grid DOA estimation which is inspired by the frequency estimation approach using Rife algorithm [16], and in this way, the estimation accuracy can be improved effectively.…”

Section: Introductionmentioning

confidence: 99%

Off-Grid Doa Estimation Based on Sparse Representation and Rife Algorithm

Xu¹,

Chen²,

Gao³

2017

PIER M

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Abstract-In this paper, off-grid DOA estimation based on sparse representation and Rife algorithm is presented to improve performance when the sparse signal directions are not on the predefined angular grids. The algorithm is divided into two steps. Firstly, the real-valued sparse representation of array covariance vector (RV-SRACV) algorithm is used to do off-grid DOA estimation, and it does not need to estimate the noise power. Secondly, Rife algorithm is used to correct the DOA estimation, and after that the DOA can be accurately estimated. The effectiveness and superior performance of the proposed algorithm are demonstrated in the simulation results.

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