A Fitting Analysis Method of Multiport System Sampling Signal
A technology of sampling signals and analysis methods, applied in the field of signal processing, can solve problems such as conjugate symmetry conditions that cannot automatically realize common poles and residues, increase the difficulty of the analysis process, and disadvantage the calculation efficiency of algorithms, so as to improve efficiency and fit. , the effect of avoiding secondary processing and simplifying the analysis process
Active Publication Date: 2022-04-01
SOUTHWEST JIAOTONG UNIV
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However, although the vector fitting technique has good fitting accuracy, it needs a starting pole that can be obtained through multiple iterations before the formal analysis, which is not conducive to improving the computational efficiency of the algorithm
[0003] For the multi-port situation, people in the prior art have proposed a MPM with a common pole to deal with the multi-port data fitting problem, but the proposed method needs to first superimpose the sampling signals of the ports, which inevitably leads to It leads to the lack of information carried in the sampling signal, and the conjugate symmetry condition of common poles and residues cannot be automatically realized during the analysis process, which increases the difficulty of the analysis process
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[0079] Adopt the fitting analysis method of the present invention to carry out fitting analysis to multi-port system sampling signal, specifically comprise the following steps:
[0080] Step 1. First, the researched multi-port object (such as figure 2 ) port data is sampled, and the sampling number of each port is the same, which is set to N;
[0081] Step 2, use the sampling data of each port to construct the corresponding Hankel matrix, the size of different port matrices is also the same, and number all Hankel matrices according to the order set for the ports, since the number of ports in this example is 3, then numbered from 1 to 3;
[0082] Step 3, arrange the Hankel matrices of the three ports into a row vector F, each element of the vector is a Hankel matrix corresponding to the corresponding serial number port, and define the vector as a Hankel block matrix;
[0083] Step 4, performing singular value decomposition on the Hankel block matrix to obtain its left singul...
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The present invention relates to the technical field of signal processing, in particular to a method for fitting and analyzing sampling signals of a multi-port system, which performs sampling at the same number of times at each port of the multi-port system, and uses the sampling data to construct a Hankel matrix respectively; The Hankel matrix is arranged in rows in order to form a Hankel block matrix, and the singular value decomposition is performed to obtain the eigenvalues; the number of dominant eigenvalues is determined according to the size of the eigenvalues, and the Hankel block matrix is degraded; analysis The eigenvalues of the bundle of matrices formed by the reduced-order matrices are obtained, and the residues of each port are obtained by the method of least squares. The present invention realizes the evaluation of the transient signal of the port of a multi-port system, and has the characteristics of simple analysis process and intact port signal. When applied to the fields of communication, electric power, control, etc., the present invention can effectively improve the transient Efficiency and goodness of fit for state property assessment and equivalent modeling.
Description
technical field [0001] The invention relates to the technical field of signal processing, in particular to a fitting analysis method for sampling signals of a multi-port system. Background technique [0002] Power, communication, control and other systems usually have complex geometric structures and a large number of internal components. In the process of analyzing their transient response characteristics, it is very time-consuming to fine-tune the whole or part of the structure. and error-prone. However, in many cases, when we analyze the transient characteristics of a complex system, we often mainly focus on the performance at the port where it interacts with the outside world, and regard the system as a whole as a "black box". Efficiency modeling is used to analyze the transient response of the system. In order to achieve this purpose, various techniques of equivalent modeling analysis are proposed and used. Among them, the method of analyzing the limited sampling dat...
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IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 廖成张胤尚玉平杜伟
Owner SOUTHWEST JIAOTONG UNIV