Abstract
An exact closed-form expression for the variance of frequency estimators proposed by Jacobsen and Kootsookos (2007) and Candan (2011) has been derived. Additionally, an approximate variance formula applicable for sufficiently large data lengths is provided. Theoretical results have been validated through computer simulations.
References
- Candan, Ç. (2011) A method for fine resolution frequency estimation from three DFT samples, IEEE Signal Processing Letters, 18(6), 351-354. doi: 10.1109/LSP.2011.2136378
- Candan, Ç. (2013) Analysis and further improvement of fine resolution frequency estimation method from three DFT samples, IEEE Signal Processing Letters, 20(9), 913-916. doi: 10.1109/LSP.2013.2273616
- Jacobsen, E. and Kootsookos, P. (2007) Fast, accurate frequency estimators, IEEE Signal Processing Magazine, 24(3), 123-125.
- Kay, S.M. (1993) Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, New Jersey.
- Papoulis, A. (1991) Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.
Abstract
Jacobsen ve Kootsookos (2007) ve Candan (2011) makalelerinde önerilen frekans kestiricilerinin değişintisi için bir kesin kapalı biçim ifadesi türetilmiştir. Ek olarak, yeterince büyük veri uzunlukları için geçerli olan yaklaşık bir değişinti formülü verilmiştir. Teorik sonuçlar bilgisayar simülasyonları ile doğrulanmıştır.
References
- Candan, Ç. (2011) A method for fine resolution frequency estimation from three DFT samples, IEEE Signal Processing Letters, 18(6), 351-354. doi: 10.1109/LSP.2011.2136378
- Candan, Ç. (2013) Analysis and further improvement of fine resolution frequency estimation method from three DFT samples, IEEE Signal Processing Letters, 20(9), 913-916. doi: 10.1109/LSP.2013.2273616
- Jacobsen, E. and Kootsookos, P. (2007) Fast, accurate frequency estimators, IEEE Signal Processing Magazine, 24(3), 123-125.
- Kay, S.M. (1993) Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, New Jersey.
- Papoulis, A. (1991) Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.
Details
| Primary Language | English |
|---|---|
| Subjects | Electrical Engineering (Other) |
| Journal Section | Research Articles |
| Authors | |
| Early Pub Date | April 11, 2025 |
| Publication Date | April 28, 2025 |
| Submission Date | November 12, 2024 |
| Acceptance Date | February 7, 2025 |
| Published in Issue | Year 2025 Volume: 30 Issue: 1 |
Cite
Announcements:
30.03.2021-Beginning with our April 2021 (26/1) issue, in accordance with the new criteria of TR-Dizin, the Declaration of Conflict of Interest and the Declaration of Author Contribution forms fulfilled and signed by all authors are required as well as the Copyright form during the initial submission of the manuscript. Furthermore two new sections, i.e. ‘Conflict of Interest’ and ‘Author Contribution’, should be added to the manuscript. Links of those forms that should be submitted with the initial manuscript can be found in our 'Author Guidelines' and 'Submission Procedure' pages. The manuscript template is also updated. For articles reviewed and accepted for publication in our 2021 and ongoing issues and for articles currently under review process, those forms should also be fulfilled, signed and uploaded to the system by authors.