Effect of dual-frequency clutter suppression in harmonic Doppler detection

Background

High-frequency Doppler imaging is highly potential for detection of blood flow in microcirculation. In a swept-scan system, however, the spectral broadening of tissue clutter limits the detectability of low-velocity flow signal. Conventionally, the scanning speed of transducer has to be reduced to alleviate the clutter interference but at the cost of imaging frame rate. For example, the blood velocity of 0.5 mm/s becomes detectable only with a scanning speed lower than 1 mm/s. In this study, an alternative method is examined by suppressing the clutter magnitude to reduce the interference to flow signal without sacrificing scanning speed.

Methods

The method of third harmonic (3f₀) transmit phasing can suppress the tissue harmonic clutter by transmitting at the fundamental and the additional 3f₀ frequencies to achieve mutual cancellation between the frequency-sum and the frequency-difference components of the second harmonic signal. With 3f₀ transmit phasing, the cut-off frequency of wall filtering can be reduced to preserve low-velocity flow without compromising the frame rate.

Results

Our results indicate that the 3f₀ transmit phasing effectively reduces the harmonic clutter magnitude and thus improves the flow signal-to-clutter ratio. Compared to the conventional counterpart, the clutter-suppressed color flow and power Doppler images show fewer clutter artifacts and is capable of detecting more low-velocity flow of microbubbles. The resultant color-pixel-density also improves with clutter suppression.

Conclusion

For the swept-scan high-frequency (>20 MHz) system, 3f₀ transmit phasing is capable of providing effective clutter suppression. With the same achievable scanning speed, the resultant Doppler image has higher sensitivity for low-velocity flow and is less susceptible to clutter artifacts.     

膜系光谱系数对膜层参数的一阶和二阶偏导数的计算模型

为了寻找一种膜系深入分析与设计的有力辅助计算工具,从光学薄膜光谱系数的矩阵计算理论出发,基于对矩阵求迹运算的巧妙运用,从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。这一偏导数计算模型物理上与矩阵理论具有一致的通用性和普适性,适用于任何各向同性的均匀膜系统。在数学上也严格成立,数值编程计算不存在差分近似,精度达到了计算机浮点运算的极限精度。而且算法运算费时少,计算速度快,取得了高度准确性和便于实时化的双重优越性能,非常有利于应用于膜系设计领域来提高膜层数较大时的设计速度和效率。同时,这一模型能非常便捷和准确地给出膜系许多实用的导数信息,对膜系分析、测量和膜厚监控等领域中的相关应用具有重要的参考意义。     

大气模式与气溶胶模型对辐射传输计算的影响

大气模式与气溶胶模型选择是影响定量遥感应用的辐射传输计算的重要因素。人们一般凭感性认识去进行选择,有一定随意性,对其带来的影响程度关注甚少。以太阳辐射计测量为依据,对大气模式与气溶胶模型选择方法作了研究,并利用经辐射定标过的光谱辐射计地面测量对辐射传输计算精度进行了验证。在昆明进行的试验表明,在0.50~0.68μm范围内,选择中纬度冬季大气模式和大陆型气溶胶,经辐射传输计算后得到的光谱辐射亮度与光谱辐射计测量结果一致性很好,差别在3.3%以内;变换大气模式对辐射传输计算产生明显影响,差别达10%左右;选择不同的气溶胶模型对辐射传输计算影响也很大,差别达11%左右。基于辐射计测量的大气模式与气溶胶模型选择避免了主观选择的不可靠性,有益于减少辐射传输计算或卫星遥感大气订正的误差。     

可迁移的土壤重金属污染高光谱定性分类方法研究

现有基于高光谱遥感的土壤重金属污染定性分类模型,大多采用同一地区室内光谱测定训练样本数据进行模型构建与测试。但室内光谱测定需要复杂的处理过程,成本高,效率低,且无法快速获得目标区域空间上连续的光谱信息。考虑到实际应用需求,模型在相同实验区和不同试验区野外光谱数据是否具有较好的迁移推广能力是目前迫切需要回答的问题。为回答这一问题,选取湖南省郴州市和衡阳市两铅锌矿区作为实验研究区,选用支持向量机（SVM）作为分类器,将郴州实验区室内采样的83个样本数据和衡阳实验区室内采样的46个样本数据分别用于分类器训练,将衡阳地区野外采样的46个样本数据用于分类测试。并首先通过基于联合分布适配（JDA）的迁移学习方法进行光谱变换以缩小两地室内外测定光谱分布差异,然后进行不同区域室内外土壤重金属污染定性分类模型迁移。实验结果表明：（1）由于野外测得的光谱数据会受到太阳辐射、提取的土壤成分差异等因素的干扰导致室内外光谱数据存在显著的分布差异,难以直接将基于室内采样数据训练得到的土壤重金属污染定性分类模型迁移到同一地区测定的野外高光谱数据上。但通过JDA变换缩小室内外分布差异后,模型迁移能力得到显著提升,砷（As）、铅（Pb）和锌（Zn）三种重金属含量是否超标的分类精度都达到了84%以上,Zn元素含量是否超标的分类精度甚至达到了89%以上。（2）由于季节性影响、地区成分的干扰和光谱噪声的增加,不同地区光谱数据存在着更为显著的分布差异,加大了不同地区土壤重金属污染监测的难度,难以将基于室内采样光谱数据所建立的土壤重金属定性分类模型直接迁移到其他地区野外采样数据上（平均分类精度仅在50%左右）。经过JDA迁移学习方法进行室内外光谱变换处理后,模型迁移能力得到保证,因此,室外光谱采样可直接用于研究不同试验区域重金属（As,Pb和Zn）的污染情况。     

Exact Solutions to the Quantum Rabi-Stark Model Within Tunable Coherent States

The quantum Rabi-Stark model, where the linear dipole coupling and the nonlinear Stark-like coupling is present on an equal footing, is studied within the tunable extended coherent states. The eigenvalues and eigenstates are therefore obtained exactly. Surprisingly, the entanglement entropy in the ground-state is found to jump suddenly with the coupling strength. The first-order quantum phase transition can be detected by level crossing of the ground state and the first excited state, which is however lacking in the original linear quantum Rabi model. Performing the first-order approximation in the present theory, we can derive closed-form analytical results for the ground-state. Interestingly, it agrees well with the exact solutions up to the ultra-strong coupling regime in a wide range of model parameters. The spectral collapses when the absolute value of the nonlinear coupling strength approaches to twice the cavity frequency is observed with the help of new solutions in the limits.     

Probabilistic models for stochastic elliptic partial differential equations

Mathematical requirements that the random coefficients of stochastic elliptical partial differential equations must satisfy such that they have unique solutions have been studied extensively. Yet, additional constraints that these coefficients must satisfy to provide realistic representations for physical quantities, referred to as physical requirements, have not been examined systematically.     

Hidden Markov models revealing the stress field underlying the earthquake generation

The application of the hidden Markov models (HMMs) is attempted for revealing key features for the earthquake generation which are not accessible to direct observation. Considering that the states of the HMM correspond to levels of the stress field, our objective is to identify these states. The observations are considered after grouping earthquake magnitudes and the cases of different number of states are examined. The problems of HMMs theory are solved and the ensuing HMMs are compared on the basis of Akaike and Bayesian information criteria. A new insight on the evaluation of future seismic hazard is given by calculating the mean number of steps for the first visit to a particular state, along with the respective variance. We further calculate an estimator of the mean number of steps for the first visit to a particular state and we construct its confidence interval. Additionally, a second approach to the problem is followed by assuming a different determination of observations. The HMMs applied to both approaches, contribute significantly to seismic hazard assessment via revealing the number of the stress levels as well as the way in which these levels are associated with certain earthquake occurrence.     

A new graphical coding of DNA sequence and its similarity calculation

The DNA primary sequence is translated into “structure graph” based on classification of its four bases. Then the invariants, such as topological indices, are extracted from those graphic representations of DNA primary sequences, and used to calculate the similarities among the eleven species. From these similarities/dissimilarities the homologies can be revealed that they are in agreement with evolutionary relation satisfactorily.     

ADI土壤水分反演方法

土壤水分是影响植被、土壤和大气之间能量和水分循环的重要因素,及时准确获取土壤湿度信息有利于提高作物估产精度和改善田间管理措施。本文基于红光与近红外光谱特征空间(NIR-RED)发展了一种新型土壤水分遥感监测模型ADI(angle dryness index),提高了可见光与近红外波段监测土壤水分的精度。经过研究表明,在红光与近红外(NIR-RED)特征空间中,存在一个中间角度变量θ,利用光谱反射率与土壤水分之间的经验关系式模型以及混合像元分解公式证明该变量能够表征土壤湿度情况,而不受植被覆盖度的影响,因此利用该原理构建了ADI方法。最后利用两组遥感数据(分别为TM5与MODIS产品数据)以及对应的地面观测数据进行验证,结果表明计算值与实测值均具有较高的一致性,R2分别达到0.74与0.64。同时,将MPDI的计算结果与实测值进行了比较,两组数据的R2均小于0.60,表明ADI方法的计算精度高于MPDI。在MPDI的计算过程中用到了植被覆盖度,这可能是引起计算结果误差的主要因素。此外,MPDI的计算结果表征土壤湿度的相对值,而ADI则能定量的获取土壤水分含量。MODIS像元除了具有植被与土壤两个端元,还有其他类型端元的概率高于TM数据,因而MODIS数据的计算精度低于TM。因此,ADI是一种简单可行且具有较大应用前景的土壤水分反演方法,适合于推广应用。     

树和单圈图的斜谱矩

给定图$G$,对图$G$的每条边确定一个方向,称为$G$的定向图$G^\sigma$, $G$称为$G^\sigma$的基础图. $G^\sigma$的斜邻接矩阵$S(G^\sigma)$是反对称矩阵,其特征值是0或纯虚数. $S(G^\sigma)$所有特征值的$k$次幂之和称为$G^\sigma$的$k$阶斜谱矩,其中$k$是非负整数.斜谱矩序列可用于对图进行排序.本文主要研究定向树和定向单圈图的斜谱矩,并对这两类图的斜谱矩序列依照字典序进行排序.首先确定了直径为$d$的树作为基础图的所有定向树中,斜谱矩序最大的$2\lfloor\frac{d}{4}\rfloor$个图; 然后确定以围长为$g$的单圈图作为基础图的所有定向单圈图中, 斜谱矩序最大的$2\lfloor\frac{g}{4}\rfloor+1$个图.