A Fusion Algorithm for Frequency Estimation of Multi-Section Signals with the Same Length and Known Frequency-Ratio

TU Ya-qing; LIU Liang-bing

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A Fusion Algorithm for Frequency Estimation of Multi-Section Signals with the Same Length and Known Frequency-Ratio

更新时间：2025-07-16

- A Fusion Algorithm for Frequency Estimation of Multi-Section Signals with the Same Length and Known Frequency-Ratio
- Acta Electronica Sinica Vol. 36, Issue 9, Pages: 1852-1856(2008)
- 作者机构：
  
  1. 后勤工程学院信息工程系,重庆,400016
  2. 后勤工程学院信息工程系重庆,400016
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN957.51
- Published Online：25 September 2008，
  
  Published：2008
- 稿件说明：
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TU Ya-qing, LIU Liang-bing. A Fusion Algorithm for Frequency Estimation of Multi-Section Signals with the Same Length and Known Frequency-Ratio[J]. Acta Electronica Sinica, 2008, 36(9): 1852-1856.
DOI：

TU Ya-qing, LIU Liang-bing. A Fusion Algorithm for Frequency Estimation of Multi-Section Signals with the Same Length and Known Frequency-Ratio[J]. Acta Electronica Sinica, 2008, 36(9): 1852-1856. DOI：

摘要

在低信噪比、被测频率持续时间短的情况下

为提高频率估计精度并适用于多段分频等长信号

本文提出一种分频等长融合算法.因各段信号的被测频率不等

故生成频域分析参数矩阵以实现同频化效果;因同频化后各段信号之间仍然相位不连续

故设计相位差补偿因子矩阵以达到相位连续信号的效果;生成搜索频率序列并得到具有特定形式的功率谱矩阵.为验证算法的正确性

给出了详细的数学证明.仿真表明本文算法适用于任意类型的多段分频等长信号

抗噪性好

频率估计精度比现有方法有较大提高.

Abstract

Under condition of low SNR and short duration of measured frequency

to increase precision of frequency estimation and be suitable for multi-section signals with the same length and known frequency-ratio

a frequency-division equilong fusion algorithm is proposed.For unequal measured frequencies of different sections

generate the parameter matrix for frequency-domain analysis to carry out frequency normalization treatment.For phase discontinuity among different sections even after frequency normalization

design phase-difference compensating factor matrix to obtain frequency spectrum as well as phase-continuous signal.Generate search frequency array and obtain frequency spectrum amplitude matrix with certain form.To prove validity of the algorithm

detailed mathematical justification is provided.Simulated experiments show that the algorithm is true of any type of multi-section signals with the same length and known frequency-ratio.It has good noise immunity and its precision of frequency estimation is much higher than that of existing methods.

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