Hermitian matrix inversion algorithm
The work objective is speeding the covariance matrix converter of the adaptive antenna array interference by reducing the number of operations performed. A problem of developing an aprior information inversion algorithm relying on the Hermitian nature of the reversible matrix is considered. The prop...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2015-06-01
|
| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/18 |
| _version_ | 1797881391217639424 |
|---|---|
| author | Marina Yuryevna Zvezdina Olga Valeryevna Komova Nikolay Valentinovich Shatskiy Andrey Victorovich Shokov |
| author_facet | Marina Yuryevna Zvezdina Olga Valeryevna Komova Nikolay Valentinovich Shatskiy Andrey Victorovich Shokov |
| author_sort | Marina Yuryevna Zvezdina |
| collection | DOAJ |
| description | The work objective is speeding the covariance matrix converter of the adaptive antenna array interference by reducing the number of operations performed. A problem of developing an aprior information inversion algorithm relying on the Hermitian nature of the reversible matrix is considered. The proposed algorithm is based on a bordering method in contrast to the well-known algorithms based on method of Gaussian-Jordan elimination. Because of complexity and a large operation number, Gaussian-Jordan method does not allow realizing the real time signal processing in computing systems of the adaptive antenna arrays that are widely used in communication, radiolocation, and radio navigation systems. The proposed algorithm extends a well-known bordering method by taking into account Hermitian nature of the covariance interference matrix, and allows developing an algorithm based on the recursive relations. An obtained gain in amount of calculation is no less than 25% comparing to the method of Gaussian-Jordan elimination. The calculation amount decrease and a more simple form of relations used for the matrix inversion algorithm elaboration allow developing a more simple design of the adaptive antenna array processor for the matrix inversion. |
| first_indexed | 2024-04-10T03:19:17Z |
| format | Article |
| id | doaj.art-c09009e798934736879f163efcb49cea |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:19:17Z |
| publishDate | 2015-06-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-c09009e798934736879f163efcb49cea2023-03-13T07:31:25ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532015-06-01152788410.12737/1158518Hermitian matrix inversion algorithmMarina Yuryevna Zvezdina0Olga Valeryevna Komova1Nikolay Valentinovich Shatskiy2Andrey Victorovich Shokov3Донской государственный технический университет, г. Ростов-на-Дону, Российская ФедерацияРостовский колледж связи и информатики, г. Ростов-на-Дону, Российская ФедерацияОАО «Радиотехнический институт им. акад. А.Л. Минца». Обособленное подразделение в г. Ростове-на-Дону, Российская ФедерацияДонской государственный технический университет, г. Ростов-на-Дону, Российская ФедерацияThe work objective is speeding the covariance matrix converter of the adaptive antenna array interference by reducing the number of operations performed. A problem of developing an aprior information inversion algorithm relying on the Hermitian nature of the reversible matrix is considered. The proposed algorithm is based on a bordering method in contrast to the well-known algorithms based on method of Gaussian-Jordan elimination. Because of complexity and a large operation number, Gaussian-Jordan method does not allow realizing the real time signal processing in computing systems of the adaptive antenna arrays that are widely used in communication, radiolocation, and radio navigation systems. The proposed algorithm extends a well-known bordering method by taking into account Hermitian nature of the covariance interference matrix, and allows developing an algorithm based on the recursive relations. An obtained gain in amount of calculation is no less than 25% comparing to the method of Gaussian-Jordan elimination. The calculation amount decrease and a more simple form of relations used for the matrix inversion algorithm elaboration allow developing a more simple design of the adaptive antenna array processor for the matrix inversion.https://www.vestnik-donstu.ru/jour/article/view/18адаптивная антенная решеткавычислительный блок адаптивной антенной решеткиобращение ковариационной матрицы помехметод окаймлениясвойство эрмитовости ковариационной матрицысокращение объема вычисленийустройство для реализации процесса обращения матрицыadaptive antenna arrayadaptive array computing systemcovariance interference matrix inversionbordering methodhermitian nature of covariance matrixcalculation amount decreasedevice for matrix inversion |
| spellingShingle | Marina Yuryevna Zvezdina Olga Valeryevna Komova Nikolay Valentinovich Shatskiy Andrey Victorovich Shokov Hermitian matrix inversion algorithm Advanced Engineering Research адаптивная антенная решетка вычислительный блок адаптивной антенной решетки обращение ковариационной матрицы помех метод окаймления свойство эрмитовости ковариационной матрицы сокращение объема вычислений устройство для реализации процесса обращения матрицы adaptive antenna array adaptive array computing system covariance interference matrix inversion bordering method hermitian nature of covariance matrix calculation amount decrease device for matrix inversion |
| title | Hermitian matrix inversion algorithm |
| title_full | Hermitian matrix inversion algorithm |
| title_fullStr | Hermitian matrix inversion algorithm |
| title_full_unstemmed | Hermitian matrix inversion algorithm |
| title_short | Hermitian matrix inversion algorithm |
| title_sort | hermitian matrix inversion algorithm |
| topic | адаптивная антенная решетка вычислительный блок адаптивной антенной решетки обращение ковариационной матрицы помех метод окаймления свойство эрмитовости ковариационной матрицы сокращение объема вычислений устройство для реализации процесса обращения матрицы adaptive antenna array adaptive array computing system covariance interference matrix inversion bordering method hermitian nature of covariance matrix calculation amount decrease device for matrix inversion |
| url | https://www.vestnik-donstu.ru/jour/article/view/18 |
| work_keys_str_mv | AT marinayuryevnazvezdina hermitianmatrixinversionalgorithm AT olgavaleryevnakomova hermitianmatrixinversionalgorithm AT nikolayvalentinovichshatskiy hermitianmatrixinversionalgorithm AT andreyvictorovichshokov hermitianmatrixinversionalgorithm |