% function [y,r,vr]=ssa(x1,L)
%使用方法:[y,r,vr]=ssa(x1,L)
clear all
clc
close all
t=0:0.1:1000;
x1=[sind(2*t+30)+randn(size(t))]';
L=1000;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
-----------------------------------------------------------------
% Author: Francisco
Javier Alonso Sanchez e-mail:fjas@unex.es
% Departament of
Electronics and Electromecanical Engineering
% Industrial Engineering
School
% University of
Extremadura
% Badajoz
% Spain
%
-----------------------------------------------------------------
%
% SSA generates a trayectory matrix X from the original series
x1
% by sliding a window of length L. The trayectory matrix is
aproximated
%

这段MATLAB代码演示了奇异谱分析(SSA)的应用,用于时间序列的平滑、过滤和趋势提取。通过构建轨迹矩阵、进行奇异值分解(SVD)和重构系列,展示了如何从原始时间序列中提取信息。程序还提供了选择组件来重建系列的交互选项,并绘制了奇异谱图和残差系列。
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