判别分析系统应运于生物标本鉴定的初步研究

计算机技术和数学方法、手段应用于生物标本鉴定的研究工作在国外开展已有多年，但在国内却并没有许多人涉猎，也没有受到足够的重视。 鉴于这一领域的重要性及其实际意义，本文综合、扩充、改进了多元统计判别分析和模糊模式识别中的多种定量化判别方法，初步在计算机上实现了一个可用于生物标本鉴定或其它与判别、识别有关方面的系统，并将其用于桔梗科沙参属三个种：泡沙参、多歧沙参和裂叶沙参及菖蒲科中两个种的标本鉴定上面，获得了比较满意的判别效果。同时，为了弥补数量化标本鉴定的不足，本文作者还设计开发了一个描述性的基于检索表的人机交互式的标本鉴定模块。另外，本系统还包括模糊系统聚类和典型相关分析等模块，可供生物分类及其它定量分析运算时选用。 对于以上各种判别、识别方法的差异及优劣，文中根据实例做出了综合分析和比较，并认为在所有方法当中，逐步判别法和模糊协方差识别法最适宜于生物标本鉴定之用。最后，作者展望了未来计算机用于生物标本鉴定的前景。

Identification of nonlinear dynamic systems: Time-frequency filtering and skeleton curves

The nonlinear behavior varying with the instantaneous response was analyzed through the joint time-frequency analysis method for a class of S. D. O. F nonlinear system. A masking operator an definite regions is defined and two theorems are presented. Based on these, the nonlinear system is modeled with a special time-varying linear one, called the generalized skeleton linear system (GSLS). The frequency skeleton curve and the damping skeleton curve are defined to describe the main feature of the non-linearity as well. Moreover, an identification method is proposed through the skeleton curves and the time-frequency filtering technique.

An Amino Acid Substitution Matrix for Protein Conformation Identification

Amino acid substitution matrices play an essential role in protein sequence alignment, a fundamental task in bioinformatics. Most widely used matrices, such as PAM matrices derived from homologous sequences and BLOSUM matrices derived from aligned segments of PROSITE, did not integrate conformation information in their construction. There are a few structure-based matrices, which are derived from limited data of structure alignment. Using databases PDB_SELECT and DSSP, we create a database of sequence-conformation blocks which explicitly represent sequence-structure relationship. Members in a block are identical in conformation and are highly similar in sequence. From this block database, we derive a conformation-specific amino acid substitution matrix CBSM60. The matrix shows an improved performance in conformational segment search and homolog detection.

Identification of Nonlinear Systems Through Time-Frequency Filtering Technique

In the previous paper, a class of nonlinear system is mapped to a so-called skeleton linear model (SLM) based on the joint time-frequency analysis method. Behavior of the nonlinear system may be indicated quantitatively by the variance of the coefficients of SLM versus its response. Using this model we propose an identification method for nonlinear systems based on nonstationary vibration data in this paper. The key technique in the identification procedure is a time-frequency filtering method by which solution of the SLM is extracted from the response data of the corresponding nonlinear system. Two time-frequency filtering methods are discussed here. One is based on the quadratic time-frequency distribution and its inverse transform, the other is based on the quadratic time-frequency distribution and the wavelet transform. Both numerical examples and an experimental application are given to illustrate the validity of the technique.

Some advances in study of crack identification problems

In the present paper, the crack identification problems are investigated. This kind of problems belong to the scope of inverse problems and are usually ill-posed on their solutions. The paper includes two parts: (1) Based on the dynamic BIEM and the optimization method and using the measured dynamic information on outer boundary, the identification of crack in a finite domain is investigated and a method for choosing the high sensitive frequency region is proposed successfully to improve the precision. (2) Based on 3-D static BIEM and hypersingular integral equation theory, the penny crack identification in a finite body is reduced to an optimization problem. The investigation gives us some initial understanding on the 3-D inverse problems.