{"title":"ISAR成像中频谱的定义、傅里叶变换的互相关和补偿特性","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":"{\"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}","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}
Spectrum's definition, Fourier transform's cross-correlation and compensation properties in ISAR imaging
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.