LV’s Distribution Time-Scaling Analysis and the Research on Implementation Methods

ZHANG Liang; YU Hong-bo; ZHANG Xiang-yu; WANG Guo-hong; JING Zhou

doi:10.12263/DZXB.20210816

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LV’s Distribution Time-Scaling Analysis and the Research on Implementation Methods

PAPERS | 更新时间：2025-12-08

- LV’s Distribution Time-Scaling Analysis and the Research on Implementation Methods
- ACTA ELECTRONICA SINICA Vol. 50, Issue 11, Pages: 2790-2798(2022)
- 作者机构：
  
  1.海军航空大学信息融合研究所, 山东烟台 264001
  2.中国人民解放军94326部队,山东济南 250000
  3.海军航空大学航空电子与指挥系,山东青岛 266041
  4.中北大学信息与通信工程学院,山西太原 030023
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20210816
  CLC： TN957
- Received：30 June 2021，
  
  Revised：2021-10-21，
  
  Published：25 November 2022
- 稿件说明：
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张亮,于洪波,张翔宇等.吕分布时间尺度分析及实现方法研究[J].电子学报,2022,50(11):2790-2798.

ZHANG Liang,YU Hong-bo,ZHANG Xiang-yu,et al.LV’s Distribution Time-Scaling Analysis and the Research on Implementation Methods[J].ACTA ELECTRONICA SINICA,2022,50(11):2790-2798.
张亮,于洪波,张翔宇等.吕分布时间尺度分析及实现方法研究[J].电子学报,2022,50(11):2790-2798. DOI： 10.12263/DZXB.20210816.

ZHANG Liang,YU Hong-bo,ZHANG Xiang-yu,et al.LV’s Distribution Time-Scaling Analysis and the Research on Implementation Methods[J].ACTA ELECTRONICA SINICA,2022,50(11):2790-2798. DOI： 10.12263/DZXB.20210816.

摘要

吕分布（LV’s Distribution，LVD）是一种中心频率-调频斜率域信号分析工具，核心思想是对信号瞬时自相关函数进行时间尺度（Time-Scaling，TS），去除时间变量与延时变量的耦合关系. 本文从TS的角度对LVD进行了解释，在此基础上，分析了现有基于尺度傅里叶变换的TS实现方法，指出该方法存在频率混叠和频点丢失问题，并进行了修正，同时基于尺度变换和线性正则变换，进一步提出2种TS实现方法并将其应用于LVD. 试验表明，相比现有LVD实现方法，所提3种实现方法在计算复杂度、抗噪效能、检测非线性调频信号方面具备各自优势.

Abstract

LV’s distribution(LVD) is a signal analysis tool in centroid frequency-chirp rate(CFCR) domain. The core idea of LVD is to remove the coupling relationship between time variables and delay variables

by performing time-scaling(TS) on signal instantaneous autocorrelation function. In this paper

LVD is reinterpreted from the perspective of TS. On this basis

the existing TS implementation method based on scaled Fourier transform(SFT) is analyzed and modified

owing to the problems of spectrum loss and frequency aliasing. At the same time

two TS implementation methods based on scale transform(ST) and linear canonical transform(LCT) are proposed and applied to LVD. Experimental results show that the proposed methods have their own advantages in computational complexity

anti-noise performance

and nonlinear frequency modulation signal detection

compared with the existing LVD implementation method.

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references

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