The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise

ZHANG Shu-ning; XIONG Gang; ZHAO Hui-chang; WANG Li-jun

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The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise

更新时间：2025-07-16

- The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise
- Acta Electronica Sinica Vol. 33, Issue 7, Pages: 1213-1217(2005)
- 作者机构：
  
  南京理工大学电光学院引信抗干扰实验站,江苏,南京,210094
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN957.51
- Published：2005
- 稿件说明：
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ZHANG Shu-ning, XIONG Gang, ZHAO Hui-chang, et al. The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise[J]. Acta Electronica Sinica, 2005, 33(7): 1213-1217.
DOI：

ZHANG Shu-ning, XIONG Gang, ZHAO Hui-chang, et al. The Method of Wavelet Spectral Correlation in Processing Fractal Stochastic Noise[J]. Acta Electronica Sinica, 2005, 33(7): 1213-1217. DOI：

摘要

提出了广义小波谱相关的概念

简要分析了其基本性质及其与谱相关的关系

通过对白噪声的谱相关和小波谱相关特性的研究

推导出分形噪声的小波谱相关函数

通过与白噪声的对比研究

分析了分形随机噪声在小波谱相关域的特性.考虑实际海杂波的特性

提出了一种分形噪声调幅调频的海杂波模型

分析了海杂波在小波谱相关域的表现

体现了小波谱相关对海杂波处理的优势.利用小波谱相关对分形噪声背景下的伪码脉冲串信号进行了识别仿真

结果表明该方法能有效抑制分形噪声

准确提取信号参数.

Abstract

The concept of "the Wavelet Spectral correlation function(WSCF)" is proposed.The property of WSCF and the relation between Spectral correlation function(SCF) and WSCF are analyzed briefly.The WSCF of the fractal stochastic noise is deduced based on the analysis of WSCF of white gauss noise(WGN) and the SCF of WGN.And the property of fractal stochastic noise in the WSC domain is analyzed.Considering the actual sea clutter

a fractal noise AM-FM model is proposed.The WSCF of the sea clutter is analyzed

which presents the advantage of the WSCF in processing the sea clutter.The signal recognition of pseudo random code pulse trains under the environment of fractal noise with WSCF is simulated.It is found that the method can effectively eliminate fractal noise and accurately extract the signal parameters.

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