Underdetermined DOA Estimation for Wideband Signals via Focused Atomic Norm Minimization

Abstract

In underwater acoustic signal processing, direction of arrival (DOA) estimation can provide important information for target tracking and localization. To address underdetermined wideband signal processing in underwater passive detection system, this paper proposes a novel underdetermined wideband DOA estimation method equipped with the nested array (NA) using focused atomic norm minimization (ANM), where the signal source number detection is accomplished by information theory criteria. In the proposed DOA estimation method, especially, after vectoring the covariance matrix of each frequency bin, each corresponding obtained vector is focused into the predefined frequency bin by focused matrix. Then, the collected averaged vector is considered as virtual array model, whose steering vector exhibits the Vandermonde structure in terms of the obtained virtual array geometries. Further, the new covariance matrix is recovered based on ANM by semi-definite programming (SDP), which utilizes the information of the Toeplitz structure. Finally, the Root-MUSIC algorithm is applied to estimate the DOAs. Simulation results show that the proposed method outperforms other underdetermined DOA estimation methods based on information theory in term of higher estimation accuracy.

Multisource DOA Estimation in Impulsive Noise Environments Using Convolutional Neural Networks

“…To the best of our knowledge, no MOS algorithm has been published in the presence of impulsive noise. To validate that the MOS network is superior to conventional algebraic algorithms, we replace the covariance matrix in AIC and MDL [39] with R∞ in Section 3.1 and obtain the modified AIC and MDL. Figure 7 shows that the MOS network outperforms the modified AIC and MDL, and the test data is the same as that with α � 1.3 in Figure 5.…”

Two-dimensional separation of wideband raypaths in underwater acoustics

“…Compared with the narrowband source, wideband source enjoys large bandwidth, which is beneficial to source detection and estimation. For deal with wideband source, an underdetermined method based on focused ANM is introduced [28] which transforms the covariance matrix corresponding to each frequency bin to the predefined frequency bin by using a focusing matrix. However, there are have problems such as weak robustness to noise and large computational complexity.…”

“…[31], the wideband signal is first decomposed into multiple effective frequency bins in the frequency domain, and the received signal corresponding to each frequency is sequentially concatenated into a long vector. In contrast to the method [28], the proposed method no longer require the initiation DOA and TOA estimation as a priori knowledge. Furthermore, the separation performance of the proposed algorithm is illustrated based on simulations and small-scale experiment, and also compared to those of the traditional CS-based algorithms.…”