CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS
The article contains a number of solutions for the key element of paraunitary filter banks based on quaternionic algebra (Q-PUBF) – the multiplier of quaternions with usage of CORDIC (Coordinate Rotation Digital Computer) techniques for the fixed angle of rotation where, unlike known solutions, 4D r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Russian |
| Published: |
The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
2016-11-01
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| Series: | Informatika |
| Online Access: | https://inf.grid.by/jour/article/view/182 |
| _version_ | 1797877409260765184 |
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| author | N. A. Petrovsky A. V. Stankevich A. A. Petrovsky |
| author_facet | N. A. Petrovsky A. V. Stankevich A. A. Petrovsky |
| author_sort | N. A. Petrovsky |
| collection | DOAJ |
| description | The article contains a number of solutions for the key element of paraunitary filter banks based on quaternionic algebra (Q-PUBF) – the multiplier of quaternions with usage of CORDIC (Coordinate Rotation Digital Computer) techniques for the fixed angle of rotation where, unlike known solutions, 4D rotation control parameters are represented by nonlinear function of shifts number of input operands of the microrotation operation. Suggested approach of the multiplier designing on a quaternion-constant allows reaching the maximum performance of the multiplier scheme with low use of resources, for example, of FPGA. |
| first_indexed | 2024-04-10T02:16:44Z |
| format | Article |
| id | doaj.art-d82d7f161db5464dabef296b994b7add |
| institution | Directory Open Access Journal |
| issn | 1816-0301 |
| language | Russian |
| last_indexed | 2024-04-10T02:16:44Z |
| publishDate | 2016-11-01 |
| publisher | The United Institute of Informatics Problems of the National Academy of Sciences of Belarus |
| record_format | Article |
| series | Informatika |
| spelling | doaj.art-d82d7f161db5464dabef296b994b7add2023-03-13T08:32:17ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of BelarusInformatika1816-03012016-11-010485108181CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONSN. A. Petrovsky0A. V. Stankevich1A. A. Petrovsky2Белорусский государственный университет информатики и радиоэлектроникиБелорусский государственный университет информатики и радиоэлектроникиБелорусский государственный университет информатики и радиоэлектроникиThe article contains a number of solutions for the key element of paraunitary filter banks based on quaternionic algebra (Q-PUBF) – the multiplier of quaternions with usage of CORDIC (Coordinate Rotation Digital Computer) techniques for the fixed angle of rotation where, unlike known solutions, 4D rotation control parameters are represented by nonlinear function of shifts number of input operands of the microrotation operation. Suggested approach of the multiplier designing on a quaternion-constant allows reaching the maximum performance of the multiplier scheme with low use of resources, for example, of FPGA.https://inf.grid.by/jour/article/view/182 |
| spellingShingle | N. A. Petrovsky A. V. Stankevich A. A. Petrovsky CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS Informatika |
| title | CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS |
| title_full | CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS |
| title_fullStr | CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS |
| title_full_unstemmed | CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS |
| title_short | CORDIC TECHNIQUES FOR FIXED ANGLE OF ROTATION IN MULTIPLYING OPERATION OF QUATERNIONS |
| title_sort | cordic techniques for fixed angle of rotation in multiplying operation of quaternions |
| url | https://inf.grid.by/jour/article/view/182 |
| work_keys_str_mv | AT napetrovsky cordictechniquesforfixedangleofrotationinmultiplyingoperationofquaternions AT avstankevich cordictechniquesforfixedangleofrotationinmultiplyingoperationofquaternions AT aapetrovsky cordictechniquesforfixedangleofrotationinmultiplyingoperationofquaternions |