RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING

The generalized structure of the electromagnetic field in the registration area is considered in the case of the solution of problems of remote sensing of the underlying surfaces. Examples of the existing radar and optical coherent devices are given. Analytical expressions for the electromagnetic fi...

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Main Authors: Валерий Константинович Волосюк, Семён Сергеевич Жила, Глеб Сергеевич Черепнин, Эдуард Алексеевич Цернэ
Format: Article
Language:English
Published: National Aerospace University «Kharkiv Aviation Institute» 2018-10-01
Series:Радіоелектронні і комп'ютерні системи
Subjects:
Online Access:http://nti.khai.edu/ojs/index.php/reks/article/view/206
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author Валерий Константинович Волосюк
Семён Сергеевич Жила
Глеб Сергеевич Черепнин
Эдуард Алексеевич Цернэ
author_facet Валерий Константинович Волосюк
Семён Сергеевич Жила
Глеб Сергеевич Черепнин
Эдуард Алексеевич Цернэ
author_sort Валерий Константинович Волосюк
collection DOAJ
description The generalized structure of the electromagnetic field in the registration area is considered in the case of the solution of problems of remote sensing of the underlying surfaces. Examples of the existing radar and optical coherent devices are given. Analytical expressions for the electromagnetic field in the reception area when sounding is carried out in a near-field Fresnel region, in the assumption that the size of the field of registration and radiation is considerably less than a distance between them, are concretized. It is shown the main operations that are necessary for the recovery of coherent images in a near-field Fresnel region by the methods of multichannel signal processing. Research shows that as the amplitude-phase distribution of the registration field is necessary to choose the classical basic function of Fresnel transformation with the reversed sign in the exponent power. Formally, in an infinite range, the Fresnel transform is invertible, i.e. in the ideal case, the function can be completely restored. However physically to Fresnel's region satisfies area with finite sizes. From the analysis of the obtained operations over the received field, it follows that the radar or optical system forms an estimate of the coherent image in the form of a convolution of a true image of the underlying surface with an ambiguity function. Generally, this function contains two multipliers, one of which determines the resolution of recovery of the coherent image. In that specific case, when the linear sizes of the field of registration go to infinity, ambiguity function takes a form of delta function and the required image can be restored without distortions. It is offered to determine resolution by the width between first zeros of ambiguity function. For rectangular area ambiguity function has the form of two sinc functions which width is directly proportional to wavelength, to the height of sounding and is inversely proportional to the linear sizes of receiving area on the corresponding coordinates. Finally, it is mentioned that for the higher-quality coherent imaging with good resolution by the same receiving area it is necessary to perform scanning and movement in space
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spelling doaj.art-422403cb5797420bbcdd30e5de82fc482023-08-02T05:20:48ZengNational Aerospace University «Kharkiv Aviation Institute»Радіоелектронні і комп'ютерні системи1814-42252663-20122018-10-01039710210.32620/reks.2018.3.10228RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSINGВалерий Константинович Волосюк0Семён Сергеевич Жила1Глеб Сергеевич Черепнин2Эдуард Алексеевич Цернэ3Национальный аэрокосмический университет им. Н. Е. Жуковского «ХАИ», ХарьковНациональный аэрокосмический университет им. Н. Е. Жуковского «ХАИ», ХарьковНациональный аэрокосмический университет им. Н. Е. Жуковского «ХАИ», ХарьковНациональный аэрокосмический университет им. Н. Е. Жуковского «ХАИ», ХарьковThe generalized structure of the electromagnetic field in the registration area is considered in the case of the solution of problems of remote sensing of the underlying surfaces. Examples of the existing radar and optical coherent devices are given. Analytical expressions for the electromagnetic field in the reception area when sounding is carried out in a near-field Fresnel region, in the assumption that the size of the field of registration and radiation is considerably less than a distance between them, are concretized. It is shown the main operations that are necessary for the recovery of coherent images in a near-field Fresnel region by the methods of multichannel signal processing. Research shows that as the amplitude-phase distribution of the registration field is necessary to choose the classical basic function of Fresnel transformation with the reversed sign in the exponent power. Formally, in an infinite range, the Fresnel transform is invertible, i.e. in the ideal case, the function can be completely restored. However physically to Fresnel's region satisfies area with finite sizes. From the analysis of the obtained operations over the received field, it follows that the radar or optical system forms an estimate of the coherent image in the form of a convolution of a true image of the underlying surface with an ambiguity function. Generally, this function contains two multipliers, one of which determines the resolution of recovery of the coherent image. In that specific case, when the linear sizes of the field of registration go to infinity, ambiguity function takes a form of delta function and the required image can be restored without distortions. It is offered to determine resolution by the width between first zeros of ambiguity function. For rectangular area ambiguity function has the form of two sinc functions which width is directly proportional to wavelength, to the height of sounding and is inversely proportional to the linear sizes of receiving area on the corresponding coordinates. Finally, it is mentioned that for the higher-quality coherent imaging with good resolution by the same receiving area it is necessary to perform scanning and movement in spacehttp://nti.khai.edu/ojs/index.php/reks/article/view/206когерентное изображениеближняя зона френеляфункция неопределённостимногоканальная обработка
spellingShingle Валерий Константинович Волосюк
Семён Сергеевич Жила
Глеб Сергеевич Черепнин
Эдуард Алексеевич Цернэ
RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
Радіоелектронні і комп'ютерні системи
когерентное изображение
ближняя зона френеля
функция неопределённости
многоканальная обработка
title RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
title_full RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
title_fullStr RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
title_full_unstemmed RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
title_short RECOVERY OF SURFACES COHERENT IMAGES IN THE FRESNEL REGION BY THE METHODS OF MULTICHANNEL SIGNAL PROCESSING
title_sort recovery of surfaces coherent images in the fresnel region by the methods of multichannel signal processing
topic когерентное изображение
ближняя зона френеля
функция неопределённости
многоканальная обработка
url http://nti.khai.edu/ojs/index.php/reks/article/view/206
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AT semënsergeevičžila recoveryofsurfacescoherentimagesinthefresnelregionbythemethodsofmultichannelsignalprocessing
AT glebsergeeviččerepnin recoveryofsurfacescoherentimagesinthefresnelregionbythemethodsofmultichannelsignalprocessing
AT éduardalekseevičcerné recoveryofsurfacescoherentimagesinthefresnelregionbythemethodsofmultichannelsignalprocessing