On rank awareness,thresholding, and MUSIC for joint sparse recovery

This letter establishes sufficient conditions for the sparse multiple measurement vector (MMV) or row-sparse matrix approximation problem for the Rank Aware Row Thresholding (RART) algorithm. Using the rank aware selection operator to define RART results in discrete MUltiple SIgnal Classification (MUSIC) from array signal processing. When the sensing matrix is drawn from the random Gaussian matrix ensemble, we establish that the rank of the row-sparse measurement matrix in the noiseless row-sparse recovery problem allows RART (MUSIC) to reduce the effect of the $\log (n)$ penalty term that is present in traditional compressed sensing results and simultaneously provides a row-rank deficient recovery result for MUSIC. Empirical evidence shows that Thresholding closely matches RART in successful row-sparse approximation. The theoretical and empirical evidence provides further support for the conjecture that the thresholding operator in more sophisticated greedy algorithms is the source of their observed rank awareness.     

Novel NMR Assignment Strategy Reveals Structural Heterogeneity in Solution of the nsP3 HVD Domain of Venezuelan Equine Encephalitis Virus

In recent years, intrinsically disordered proteins (IDPs) and disordered domains have attracted great attention. Many of them contain linear motifs that mediate interactions with other factors during formation of multicomponent protein complexes. NMR spectrometry is a valuable tool for characterizing this type of interactions on both amino acid (aa) and atomic levels. Alphaviruses encode a nonstructural protein nsP3, which drives viral replication complex assembly. nsP3 proteins contain over 200-aa-long hypervariable domains (HVDs), which exhibits no homology between different alphavirus species, are predicted to be intrinsically disordered and appear to be critical for alphavirus adaptation to different cells. Previously, we have shown that nsP3 HVD of chikungunya virus (CHIKV) is completely disordered with low tendency to form secondary structures in free form. In this new study, we used novel NMR approaches to assign the spectra for the nsP3 HVD of Venezuelan equine encephalitis virus (VEEV). The HVDs of CHIKV and VEEV have no homology but are both involved in replication complex assembly and function. We have found that VEEV nsP3 HVD is also mostly disordered but contains a short stable α-helix in its C-terminal fragment, which mediates interaction with the members of cellular Fragile X syndrome protein family. Our NMR data also suggest that VEEV HVD has several regions with tendency to form secondary structures.     

简化正交归一约束的自适应噪声子空间估计算法

为避免MUSIC算法的特征分解过程,提出一种噪声子空间的自适应估计算法,能够估计整个噪声子空间.该算法基于正交归一化约束的最小均方(LMS)算法,但对正交归一约束过程进行了简化,较之显式正交归一化约束的LMS算法,简化了运算过程,适合实时计算与工程实现.噪声子空间估计以迭代的方式进行,适合应用于运动信号源的跟踪.仿真结果显示算法具有很好的空间谱估计性能和DOA跟踪性能.     

Detection of point-like scatterers using one type of scattered elastic waves

In this paper, we are concerned with the detection of point-like obstacles using elastic waves. We show that one type of waves, either the P or the S scattered waves, is enough for localizing the points. We also show how the use of S incident waves gives better resolution than the P waves. These affirmations are demonstrated by several numerical examples using a MUSIC type algorithm.     

The application of MUSIC algorithm in spectrum reconstruction and interferogram processing

Three different methods of spectrum reproduction and interferogram processing are discussed and contrasted in this paper. Especially, the nonparametric model of MUSIC (multiple signal classification) algorithm is firstly brought into the practical spectrum reconstruction processing. The experimental results prove that this method has immensely improved the resolution of reproduced spectrum, and provided a better math model for super advanced resolving power in spectrum reconstruction. The usefulness and simplicity of the technique will lead the interference imaging spectrometers to almost every field into which the spectroscopy has ventured and into some where it has not gone before.     

Space-time objective decomposition of vortex equations and mechanism analysis of subtropical high abnormal activities

To analyze the dynamic mechanism of unusual activities of the subtropical high, the space-time varible separation of the partial differential vortex equations is carried out with Galerkin methods based on the heat force and the whirl movement dissipation effect. Aiming at the subjective and man-made conventional method of choice in the space basis functions, we propose to combine the empirical orthogonal function （EOF） analysis with the genetic algorithm to inverse the space basis functions from the actual sequence of fields. A group of trigonometric functions are chosen as a generalized space basis function. With the least-squares error of the basis function and EOF typical fields, and with the complete orthogonality of basis functions, we can get the dual-bound function. A genetic algorithm is then introduced to carry out surface fitting and coefficient optimization of the basis function. As a result, the objective and reasonable constant differential equation of the subtropical high is obtained by inversion. Finally, based on the obtained nonlinear dynamics model, the dynamic behavior and mechanism of the subtropical high is analyzed and discussed under the influence of heat force. We find that solar radiation and zonal differences in land and sea are important factors impacting the potential field and flow field changes of the subtropical areas. These factors lead to strength changes of the subtropical high and medium-term advance/retreat activities. The former is a gradual change, while the latter shows more break characteristics. Meaningful results are obtained in the analysis.     

一种改进的微弱NQR信号检测算法

核四极矩共振（NQR）是一种固态射频谱分析技术,可用于检测高危险爆炸物. 然而NQR信号本身非常弱,并且易受线圈的热噪声和外部射频干扰的影响,低信噪比限制了NQR的实际应用. 该文提出一种改进的微弱NQR信号检测算法. 首先利用Hankel矩阵方式下奇异值分解的方法,有效地抑制射频干扰和噪声,并将NQR信号分离出来. 然后提出了一种基于MUSIC谱估计的非线性最小二乘检测器,它既保证了高的频率分辨率,又大大降低了运算量. 仿真数据和实测数据结果表明该算法的有效性.     

OSMAR2000基于MUSIC的超分辨率海洋表面流算法

为了解决OSMAR2000以小天线阵实现中远距离的海洋表面流探测,同时实现高的角分辨率的问题,提出了OSMAR2000基于MUSIC的超分辨率海洋表面流算法。该算法首先通过预处理从海洋回波中分离包含海流信息的一阶回波,然后针对其中可分辨的每一个Doppler频移（对应海洋表面径向流速）上的信号,采用MUSIC算法求其多个存在方位。阐述了MUSIC算法应用于高频地波雷达海洋表面流遥感的理论基础、处理过程和实测信号的处理结果。     

Adsorption of Ions on Zirconium Oxide Surfaces from Aqueous Solutions at High Temperatures

Surface titrations were carried out on suspensions of monoclinic ZrO₂ from 25 to 290 °C slightly above saturation vapor pressure at ionic strengths of 0.03, 0.1 and 1.0 mol⋅kg⁻¹(NaCl). A typical increase in surface charge was observed with increasing temperature. There was no correlation between the radius of the cations, Li⁺, Na⁺, K⁺ and (CH₃)₄N⁺, and the magnitude of their association with the surface. The combined results were treated with a 1-pK_a MUSIC model, which yielded association constants for the cations (and chloride ion at low pH) at each temperature. The pH of zero-point-charge, pH_zpc, decreased with increasing temperature as found for other metal oxides, reaching an apparent minimum value of 4.1 by 250 °C. Batch experiments were performed to monitor the concentration of LiOH in solutions containing suspended ZrO₂ particles from 200 to 360 °C. At 350 and 360 °C, Li⁺ and OH⁻ ions were almost totally adsorbed when the pressure was lowered to near saturation vapor pressure. This reversible trend has implications not only to pressure-water reactor, PWR, operations, but is also of general scientific and other applied interest. Additional experiments probed the feasibility that boric acid/borate ions adsorb reversibly onto ZrO₂ surfaces at near-neutral pH conditions as indicated in earlier publications. Electronic Supplementary Material  The online version of this article () contains supplementary material, which is available to authorized users.     

采用便携式天线的近海海洋表面流探测

针对高频地波雷达天线阵通常十分庞大的问题，根据海洋回波理论，利用单个到达角海洋回波进行雷达通道幅度相位的自校准，应用适合便携式天线系统的信源估计方法，采用MUSIC(MUltiple Slgnal C1assification)算法反演海流信息，研究了交叉环／单极子天线在高频地波雷达近海海洋表面流探测中的应用，将探测结果与采用相控阵接收的高频地波雷达OSMAR2000的探测结果进行对比，径向流速平均偏差为1．3cm／s,说明近海海洋表面流探测采用便携式的小天线可取得与传统相控阵相同的效果.