Cumulant-Based Biquaternion Approach to Direction Finding of Wideband Signals

Yang, Yang; Liu, Zhiwen; Xu, Yougen; Zhuang, Junpeng

doi:10.1109/lcomm.2019.2957228

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…The same computer, with an AMD R7‐4800H CPU and 16 GB of RAM, is used to simulate all of the results, which is running MATLAB R2020a on a 64‐bit Windows 10 system. The proposed algorithm is compared to almost all the DOA estimation methods for wideband noncircular signals, including EAIP [32], EARR [33], APM [34], and WBNC [35]. The standard off‐grid method based on sparse Bayesian inference [36] and the sparse Bayesian learning off‐grid DOA estimation with Gaussian mixture priors [10] are also compared.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Some algorithms, such as the envelope aligned inverse power (EAIP) method [32], the complex envelope aligned rank‐reduction (EARR) method [33], and the aligned propagator method (APM) [34], have been developed based on this conceptual framework to realize noncircular wideband DOA estimation. Yang and others [35] extended the method in Gou and others [6] and proposed the wideband biquaternion noncircular cumulant (WBNC) method to process the non‐Gaussian and noncircular wideband sources. Existing noncircular wideband DOA estimators share the same flaws as subspace‐based methods; a priori information of source number is required, and the performance degrades at low SNR.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed method does not require source number. In low SNR, simulation results show that FOGWNC can efficiently address noncircular wideband DOA estimation and obtain more accurate results than existing subspace‐based methods [32–35]. In addition, the proposed algorithm's error thresholds and the Cramer–Rao bound (CRB) for wideband noncircular DOA estimation are deduced in detail.…”

Section: Introductionmentioning

confidence: 99%

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Off‐grid direction‐of‐arrival estimation for wideband noncircular sources

et al. 2022

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Researchers have recently shown an increased interest in estimating the direction‐of‐arrival (DOA) of wideband noncircular sources, but existing studies have been restricted to subspace‐based methods. An off‐grid sparse recovery‐based algorithm is proposed in this paper to improve the accuracy of existing algorithms in low signal‐to‐noise ratio situations. The covariance and pseudo covariance matrices can be jointly represented subject to block sparsity constraints by taking advantage of the joint sparsity between signal components and bias. Furthermore, the estimation problem is transformed into a single measurement vector problem utilizing the focused operation, resulting in a significant reduction in computational complexity. The proposed algorithm's error threshold and the Cramer–Rao bound for wideband noncircular DOA estimation are deduced in detail. The proposed algorithm's effectiveness and feasibility are demonstrated by simulation results.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Off‐grid direction‐of‐arrival estimation for wideband noncircular sources

et al. 2022

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“…(2) the existing models are limited to coherent signals because the multipath propagation delay is regarded as 0. Inspired by the data aligning concept used in uncorrelated noncircular wideband DOA estimation [20,21], a novel direction-finding approach for wideband sources is proposed in a multipath scenario to overcome the above drawbacks. To the best of our knowledge, this work is the pioneering one for the DOA estimation of the mixed wideband sources in multipath cases.…”

Section: Introductionmentioning

confidence: 99%

Efficient DOA Estimation for Wideband Sources in Multipath Environment

et al. 2022

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A novel direction-of-arrival (DOA) estimator is proposed for the mixed uncorrelated and correlated wideband sources in the multipath environment. Firstly, the novel signal model is established using the aligned envelope technique. Next, the estimator can be divided into two parts. Theoretical analyses show that the correlated components cannot form peaks and only the DOA of uncorrelated signals can be acquired in the first part. Then, the correlated components are extracted from the corresponding covariance matrix and handled in the second part. Using the concept of linear search, the computational complexity of the algorithm is significantly reduced. Simulation results show the direction of uncorrelated and correlated wideband signals can be processed and distinguished effectively in the proposed method. Compared with previous DOA estimators for correlated wideband sources, the estimation accuracy has been improved.

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