Generation of coherent lognormal clutter with specified power spectrum using ZMNL transform

Junhao Xie; Dongdong Jia; Kun Xi; Xiaoman Yao; Zexun Wang; Wenqiang Zhou

doi:10.1016/j.dsp.2018.02.001

Generation of coherent lognormal clutter with specified power spectrum using ZMNL transform

Junhao Xie^*
, Dongdong Jia
, Kun Xi
, Xiaoman Yao
, Zexun Wang
, Wenqiang Zhou

^*Corresponding author for this work

School of Electronics and Information Engineering

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

The paper is concerned with the modeling and simulation of coherent lognormal clutter with specified power spectrum. A generation model is first developed by Zero Memory Nonlinearity (ZMNL) transform with white complex Gaussian clutter as input. Then based on the nonlinear relationship of coherent Gaussian random variable and coherent lognormal random variable in the model, the nonlinear relationship between the complex lognormal covariance sequence and Gaussian covariance sequence is derived. The proposed model and method have been verified with three examples, and the simulation results indicate that the scheme works very well. The constraints of the method are also discussed.

Original language	English
Pages (from-to)	50-58
Number of pages	9
Journal	Digital Signal Processing: A Review Journal
Volume	76
DOIs	https://doi.org/10.1016/j.dsp.2018.02.001
State	Published - May 2018

Keywords

Compound Gaussian model
Lognormal distribution
Spherically invariant random process
Zero memory nonlinearity transform

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10.1016/j.dsp.2018.02.001

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title = "Generation of coherent lognormal clutter with specified power spectrum using ZMNL transform",

abstract = "The paper is concerned with the modeling and simulation of coherent lognormal clutter with specified power spectrum. A generation model is first developed by Zero Memory Nonlinearity (ZMNL) transform with white complex Gaussian clutter as input. Then based on the nonlinear relationship of coherent Gaussian random variable and coherent lognormal random variable in the model, the nonlinear relationship between the complex lognormal covariance sequence and Gaussian covariance sequence is derived. The proposed model and method have been verified with three examples, and the simulation results indicate that the scheme works very well. The constraints of the method are also discussed.",

keywords = "Compound Gaussian model, Lognormal distribution, Spherically invariant random process, Zero memory nonlinearity transform",

author = "Junhao Xie and Dongdong Jia and Kun Xi and Xiaoman Yao and Zexun Wang and Wenqiang Zhou",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = may,

doi = "10.1016/j.dsp.2018.02.001",

language = "英语",

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T1 - Generation of coherent lognormal clutter with specified power spectrum using ZMNL transform

AU - Xie, Junhao

AU - Jia, Dongdong

AU - Xi, Kun

AU - Yao, Xiaoman

AU - Wang, Zexun

AU - Zhou, Wenqiang

PY - 2018/5

Y1 - 2018/5

N2 - The paper is concerned with the modeling and simulation of coherent lognormal clutter with specified power spectrum. A generation model is first developed by Zero Memory Nonlinearity (ZMNL) transform with white complex Gaussian clutter as input. Then based on the nonlinear relationship of coherent Gaussian random variable and coherent lognormal random variable in the model, the nonlinear relationship between the complex lognormal covariance sequence and Gaussian covariance sequence is derived. The proposed model and method have been verified with three examples, and the simulation results indicate that the scheme works very well. The constraints of the method are also discussed.

AB - The paper is concerned with the modeling and simulation of coherent lognormal clutter with specified power spectrum. A generation model is first developed by Zero Memory Nonlinearity (ZMNL) transform with white complex Gaussian clutter as input. Then based on the nonlinear relationship of coherent Gaussian random variable and coherent lognormal random variable in the model, the nonlinear relationship between the complex lognormal covariance sequence and Gaussian covariance sequence is derived. The proposed model and method have been verified with three examples, and the simulation results indicate that the scheme works very well. The constraints of the method are also discussed.

KW - Compound Gaussian model

KW - Lognormal distribution

KW - Spherically invariant random process

KW - Zero memory nonlinearity transform

UR - https://www.scopus.com/pages/publications/85042217244

U2 - 10.1016/j.dsp.2018.02.001

DO - 10.1016/j.dsp.2018.02.001

M3 - 文章

AN - SCOPUS:85042217244

SN - 1051-2004

VL - 76

SP - 50

EP - 58

JO - Digital Signal Processing: A Review Journal

JF - Digital Signal Processing: A Review Journal

ER -

Generation of coherent lognormal clutter with specified power spectrum using ZMNL transform

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Keywords

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