The Kalman Filter for Complex Fibonacci Systems
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-19
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
This paper investigates the characteristics of the Kalman filter for a broad class of complex Fibonacci systems and represents an extension to the complex domain of the state estimation problem for the real-valued Fibonacci system.
Complex Fibonacci systems are obtained by modifying the real-valued Fibonacci recurrence relation to include complex coefficients, control and noise inputs, and a noisy output-measurement equation.
Analytic expressions for the Kalman filter’s steady-state gain and error covariance matrices are obtained, and it is found that for a broad subclass of these complex systems the elements of the matrices are functions of the golden ratio.
American Psychological Association (APA)
Donoghue, John. 2012. The Kalman Filter for Complex Fibonacci Systems. ISRN Signal Processing،Vol. 2012, no. 2012, pp.1-5.
https://search.emarefa.net/detail/BIM-486696
Modern Language Association (MLA)
Donoghue, John. The Kalman Filter for Complex Fibonacci Systems. ISRN Signal Processing No. 2012 (2012), pp.1-5.
https://search.emarefa.net/detail/BIM-486696
American Medical Association (AMA)
Donoghue, John. The Kalman Filter for Complex Fibonacci Systems. ISRN Signal Processing. 2012. Vol. 2012, no. 2012, pp.1-5.
https://search.emarefa.net/detail/BIM-486696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486696