Spectrum's definition, Fourier transform's cross-correlation and compensation properties in ISAR imaging

Proceedings of the Eighth International Conference on Telecommunications and Remote Sensing Pub Date : 2019-09-16 DOI:10.1145/3357767.3357770

A. Lazarov, D. Minchev, A. Dimitrov

{"title":"Spectrum's definition, Fourier transform's cross-correlation and compensation properties in ISAR imaging","authors":"A. Lazarov, D. Minchev, A. Dimitrov","doi":"10.1145/3357767.3357770","DOIUrl":null,"url":null,"abstract":"In the present work an original interpretation of the Inverse Synthetic Aperture (ISAR) signal formation and image reconstruction based on spectral, cross-correlation and compensation properties of the Fourier transform (FT) is suggested. The ISAR signal is interpreted as a spatial spectrum obtained by Fourier transform of the object image function (distribution of scattering points intensities), whereas the image reconstruction is considered as inverse Fourier transform (IFT) of the spatial spectrum. In that sense, IFT acts as a cross-correlation and phase or motion compensation procedure. To disclose these properties preliminary specific parametric continuous time analysis and discrete time analysis of classical Fourier transformations are performed. Illustrative example with a mathematical description of a linear frequency modulated (LFM) ISAR signal formation and image extraction is thoroughly discussed. To verify analytical statements results of a numerical experiment are provided.","PeriodicalId":190259,"journal":{"name":"Proceedings of the Eighth International Conference on Telecommunications and Remote Sensing","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Eighth International Conference on Telecommunications and Remote Sensing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3357767.3357770","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

Abstract

In the present work an original interpretation of the Inverse Synthetic Aperture (ISAR) signal formation and image reconstruction based on spectral, cross-correlation and compensation properties of the Fourier transform (FT) is suggested. The ISAR signal is interpreted as a spatial spectrum obtained by Fourier transform of the object image function (distribution of scattering points intensities), whereas the image reconstruction is considered as inverse Fourier transform (IFT) of the spatial spectrum. In that sense, IFT acts as a cross-correlation and phase or motion compensation procedure. To disclose these properties preliminary specific parametric continuous time analysis and discrete time analysis of classical Fourier transformations are performed. Illustrative example with a mathematical description of a linear frequency modulated (LFM) ISAR signal formation and image extraction is thoroughly discussed. To verify analytical statements results of a numerical experiment are provided.

查看原文本刊更多论文

ISAR成像中频谱的定义、傅里叶变换的互相关和补偿特性

本文提出了一种基于傅立叶变换(FT)的频谱、互相关和补偿特性对逆合成孔径(ISAR)信号形成和图像重建的原始解释方法。ISAR信号被解释为对目标图像函数(散射点强度分布)进行傅里叶变换得到的空间频谱，而图像重建被认为是空间频谱的傅里叶反变换(IFT)。从这个意义上说，IFT作为一个相互关联和相位或运动补偿过程。为了揭示这些性质，对经典傅里叶变换进行了初步的、具体的参数连续时间分析和离散时间分析。用数学描述的实例详细讨论了线性调频ISAR信号的形成和图像提取。为了验证分析结论，给出了数值实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Proceedings of the Eighth International Conference on Telecommunications and Remote Sensing

自引率

0.00%

发文量