Електронний каталог Науково-технічної бібліотеки Національного університету „Львівська політехніка“

Synthesis of Two-Dimensional Non-Equidastant Antenna Arrays Using Special Matrices [Текст] : [monograph] / Yiyang Luo, Vladyslav Lutsenko, Serhiy Shulga ; [National Academy of Sciences of Ukraine, O. Ya. Usikov Institute for Radiophysics and Electronics of the NAS of Ukraine]

Назва на додатковому титульному аркуші: Синтез двомірних нееквідистантних антенних решіток з використанням спеціальних матриць Автори: Luo Yiyang; Lutsenko Vladyslav ; Shulga SerhiyВторинна відповідальність: Організація, під егідою якої видано National Academy of Sciences of Ukraine O. Ya. Usikov Institute for Radiophysics and ElectronicsВихідні дані: Kyiv : Akademperiodyka, 2025Опис: 125, [2] сторінки : ілюстрації ; 24 смМова: англійська; титульний аркуш: українська; супровідний матеріал: англійська, українська.Країна: Україна.Форматний номер: 3 формат (висота > 23-31 см)ISBN: 978-966-360-554-8.Серія / багаточастинне видання: Project "Ukrainian Scientific Book in a Foreign Language" = Проєкт "Українська наукова книга іноземною мовою"Вид літератури за цільовим призначенням: НауковіВид/характер текстових документів: наукові виданняУДК: 537.86:52 + 621.371
Загальні примітки:
Додатковий титульний аркуш українською мовою
Анотація англійською, українською мовами
Примітки щодо походження:
Дар ВД "Академперіодика"
[Інв. № 01356755]
Наявність бібліографії/покажчика: Бібліографія: сторінки 114-[126] (168 назв).Найменування теми як предметна рубрика: Радіоастрономія | Дистанційне зондування | Антенні решітки, двомірні -- Синтез Анотація:
    The monograph is devoted to the development of new methods of constructing two-dimensional non-equidistant antenna arrays (AAs), which can be used for multiple functions, especially for radiotelescopes (8—80 MHz). A series of direct and simple methods for designing such a two-dimensional non-equidistant AA was proposed. Non-equidistant AAs constructed on the structure of Latin Squares and their Triangular matrix are the most satisfactory results currently available. A method for their construction, different from the previous one, is proposed. The properties of this type of AA, which ensure entire coverage of spatial frequencies at a high degree of rarefaction with a sufficiently small lateral radiation, are thoroughly examined.
Зміст:
FOREWORD.....7
INTRODUCTION.....
CHAPTER 1
THE CURRENT RESEARCH STATE OF DESIGN AND OPTIMIZATION OF AN ANTENNA ARRAY
1.1. Literature review in the field of mathematics, physics, antennas, and radio wave propagation.....15
1.2. Overview of the development of antenna theory.....17
1.3. Review of studies of homogeneous and rarefied antenna arrays.....18
1.4. Review of possible applications of sparse antenna arrays.....19
1.5. Antenna array model and parameters.....21
1.6. The traditional basic method of designing a two-dimentional non-equidistant antenna array using a matrix.....23
1.7. Conclusion.....24
CHAPTER 2
DESIGN AND OPTIMIZATION OF SPARSE PLANAR ANTENNA ARRAY BASED ON LATIN SQUARES
2.1. Latin squares and their properties.....26
2.2. Modeling, evaluation, and optimization of the characteristics of sparse planar antenna arrays based on the traditional Latin square.....30
2.3. Modeling, evaluation, and optimization of characteristics of sparse planar antenna arrays based on nested Latin squares.....34
2.3.1. Unit diagonal matrices as nested submatrices.....35
2.3.2. Unit square matrices as nested submatrices.....39
2.3.3. Magic squares as nested submatrices.....43
2.3.4. A magic square and its rotation matrices as nested submatrices.....45
2.4. Discussion.....51
2.5. Conclusion.....52
CHAPTER 3
DEVELOPMENT AND OPTIMIZATION OF SPARSE PLANAR ANTENNA ARRAY BASED ON LATIN SQUARE AND CYCLIC DIFFERENCE SET
3.1. Introduction.....53
3.2. CDS and the new Latin square matrix, taking it as an element.....53
3.3. Comparison of characteristics of AAs constructed based on new/ traditional Latin squares and the Kopilovich method.....57
3.4. Comparison of characteristics of large AAs constructed based on new I traditional Latin squares and magic square.....61
3.5. Conclusion.....66
CHAPTER 4
A NEW METHOD OF CALCULATING COORDINATES FOR DIFFERENT SPARSE PLANAR ANTENNA ARRAYS
4.1. Introduction.....67
4.2. Latin square and triangular matrix.....68
4.3. A new method of synthesis and estimation of antenna array parameters.....68
4.4. Modeling, calculation, and comparison of the AA design results.....70
4.5. Discussion.....74
4.6. Conclusion.....77
CHAPTER 5
APPLICATION OF DIFFERENT SPARSE PLANAR ANTENNA ARRAYS BASED ON SPECIAL MATRICES
5.1. Introduction.....78
5.2. AA design by using magic squares and their nested matrix.....79
5.3. AA design by using Latin squares and their nested matrix......85
5.4. AA design by using the new Latin square, taking CDS as elements.....91
5.5. AA design by using the unit triangular matrix and Latin square triangular matrices.....98
5.6. Comprehensive analysis of AA design methods by using various mathematical concepts.....105
5.7. Conclusion.....110
CONCLUSIONS.....111
REFERENCES.....114
LIST OF ABBREVIATIONS AND ACRONYMS 127
Тип одиниці: Книга
Фонди
Тип одиниці зберігання Поточна бібліотека Шифр зберігання Стан Очікується на дату Штрих-код
 Книга Книга Відділ наукового опрацювання (VNO) Фонд відділу книгозберігання Доступно (доступ заборонено) 01356755

Додатковий титульний аркуш українською мовою

Анотація англійською, українською мовами

01356755 Дар ВД "Академперіодика"

Бібліографія: сторінки 114-[126] (168 назв)

FOREWORD.....7
INTRODUCTION.....
CHAPTER 1
THE CURRENT RESEARCH STATE OF DESIGN AND OPTIMIZATION OF AN ANTENNA ARRAY
1.1. Literature review in the field of mathematics, physics, antennas, and radio wave propagation.....15
1.2. Overview of the development of antenna theory.....17
1.3. Review of studies of homogeneous and rarefied antenna arrays.....18
1.4. Review of possible applications of sparse antenna arrays.....19
1.5. Antenna array model and parameters.....21
1.6. The traditional basic method of designing a two-dimentional non-equidistant antenna array using a matrix.....23
1.7. Conclusion.....24
CHAPTER 2
DESIGN AND OPTIMIZATION OF SPARSE PLANAR ANTENNA ARRAY BASED ON LATIN SQUARES
2.1. Latin squares and their properties.....26
2.2. Modeling, evaluation, and optimization of the characteristics of sparse planar antenna arrays based on the traditional Latin square.....30
2.3. Modeling, evaluation, and optimization of characteristics of sparse planar antenna arrays based on nested Latin squares.....34
2.3.1. Unit diagonal matrices as nested submatrices.....35
2.3.2. Unit square matrices as nested submatrices.....39
2.3.3. Magic squares as nested submatrices.....43
2.3.4. A magic square and its rotation matrices as nested submatrices.....45
2.4. Discussion.....51
2.5. Conclusion.....52
CHAPTER 3
DEVELOPMENT AND OPTIMIZATION OF SPARSE PLANAR ANTENNA ARRAY BASED ON LATIN SQUARE AND CYCLIC DIFFERENCE SET
3.1. Introduction.....53
3.2. CDS and the new Latin square matrix, taking it as an element.....53
3.3. Comparison of characteristics of AAs constructed based on new/ traditional Latin squares and the Kopilovich method.....57
3.4. Comparison of characteristics of large AAs constructed based on new I traditional Latin squares and magic square.....61
3.5. Conclusion.....66
CHAPTER 4
A NEW METHOD OF CALCULATING COORDINATES FOR DIFFERENT SPARSE PLANAR ANTENNA ARRAYS
4.1. Introduction.....67
4.2. Latin square and triangular matrix.....68
4.3. A new method of synthesis and estimation of antenna array parameters.....68
4.4. Modeling, calculation, and comparison of the AA design results.....70
4.5. Discussion.....74
4.6. Conclusion.....77
CHAPTER 5
APPLICATION OF DIFFERENT SPARSE PLANAR ANTENNA ARRAYS BASED ON SPECIAL MATRICES
5.1. Introduction.....78
5.2. AA design by using magic squares and their nested matrix.....79
5.3. AA design by using Latin squares and their nested matrix......85
5.4. AA design by using the new Latin square, taking CDS as elements.....91
5.5. AA design by using the unit triangular matrix and Latin square triangular matrices.....98
5.6. Comprehensive analysis of AA design methods by using various mathematical concepts.....105
5.7. Conclusion.....110
CONCLUSIONS.....111
REFERENCES.....114
LIST OF ABBREVIATIONS AND ACRONYMS 127

The monograph is devoted to the development of new methods of constructing two-dimensional non-equidistant antenna arrays (AAs), which can be used for multiple functions, especially for radiotelescopes (8—80 MHz). A series of direct and simple methods for designing such a two-dimensional non-equidistant AA was proposed. Non-equidistant AAs constructed on the structure of Latin Squares and their Triangular matrix are the most satisfactory results currently available. A method for their construction, different from the previous one, is proposed. The properties of this type of AA, which ensure entire coverage of spatial frequencies at a high degree of rarefaction with a sufficiently small lateral radiation, are thoroughly examined.

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