Parameters Estimation of Two-Dimensional Harmonics Based on Singular Value Decomposition of Quaternion Matrix

WANG Fei; WANG Shu-xun; CHEN Qiao-xia

您当前的位置：

首页 >

文章列表页 >

Parameters Estimation of Two-Dimensional Harmonics Based on Singular Value Decomposition of Quaternion Matrix

更新时间：2025-07-16

- Parameters Estimation of Two-Dimensional Harmonics Based on Singular Value Decomposition of Quaternion Matrix
- Acta Electronica Sinica Vol. 35, Issue 12, Pages: 2441-2445(2007)
- 作者机构：
  
  1. 南京航空航天大学信息科学与技术学院,江苏,南京,210016
  2. 吉林大学通信工程学院,吉林,长春,130025
  3. 中电集团27所,河南,郑州,450005
  4. 南京航空航天大学信息科学与技术学院江苏南京,210016
  5. 吉林大学通信工程学院吉林长春,130025
  6. 中电集团27所河南郑州,450005
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.72
- Published：2007
- 稿件说明：
移动端阅览
WANG Fei, WANG Shu-xun, CHEN Qiao-xia. Parameters Estimation of Two-Dimensional Harmonics Based on Singular Value Decomposition of Quaternion Matrix[J]. Acta Electronica Sinica, 2007, 35(12): 2441-2445.
DOI：

WANG Fei, WANG Shu-xun, CHEN Qiao-xia. Parameters Estimation of Two-Dimensional Harmonics Based on Singular Value Decomposition of Quaternion Matrix[J]. Acta Electronica Sinica, 2007, 35(12): 2441-2445. DOI：

摘要

对于二维谐波信号的四元数模型

首先论述其与二维谐波的实数模型和复数模型之间的对应与转换关系

之后提出运用四元数矩阵奇异值分解估计二维谐波中频率参量的算法.这种算法首先可以利用四元数矩阵的奇异值判断出原始的二维谐波信号个数

然后再分别利用四元数矩阵的左、右奇异向量中的噪声向量构造的噪声子空间估计出两维的谐波频率参量.算法本身需要的数据量少

数据矩阵构造简单

并且可以同时估计出两维谐波频率参量.从仿真实验中可以看出

本文提出的算法计算量相对其它针对二维谐波四元数模型的算法要小.仿真实验验证了本文算法的正确性.

Abstract

For quaternion model of two-dimensional harmonics

the inner relationship between real model

complex model and quaternion model was discussed at first.We presented the singular values decomposition method of quaternion matrix to estimate frequency pairs of two-dimensional harmonics.This method can estimate the number of signals with singular values.Then

left and right singular vectors can be used to estimate frequency pairs.This method needs less data and its data matrix is very simple.It can also estimate frequencies at the same time.From simulations

our method can decrease computation burden effectively than those of other methods.

关键词

Keywords

references

Views

699

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Image Mixed Denoising Using Quaternion-Based Non-Local Low Rank and Total Variation

Video Quality Assessment Based on Quaternion Singular Value Decomposition

Hypercomplex Singular Value Decomposition Approach to Objectively Assessing Color Image Quality

A New Quaternion-Based Attitude Estimation Algorithm Using the Gravitational Field and Geomagnetic Field Observation

A New Method to Measure Evidence Conflict Based on Singular Value

Related Author

ZHANG Jing

LI Xiao-yao

WANG Lian-hong

ZHOU Yi-cong

CHEN Gang

ZHANG Fu-qiang

LI Jun-li

LI Gang

Related Institution

College of Electrical and Information Engineering, Hunan University

Department of Computer and Information Science, University of Macau, Macau

College of Computer Science and Engineering Southeast UniversityNanjingJiangsu 210096China

College of Mathematics and Computer ScienceHunan Normal UniversityChangshaHunan 410083China

College of Information Science and EngineeringNingbo UniversityNingboZhejiang 315211China

⁰