SavedAdd your journal

Journals / Uludağ Üniversitesi Mühendislik Fakültesi Dergisi / 2026 / Cilt: 30 Sayı: 1

AN EXACT ANALYSIS OF FINE RESOLUTION FREQUENCY ESTIMATION METHOD FROM THREE DFT SAMPLES

Üç DFT Örneğinden İnce Çözünürlüklü Frekans Tahmin Yönteminin Tam Analizi

Betofe Mboyo Keyta(BURSA ULUDAG UNIVERSITY)0009-0003-2793-9800
Erdoğan Dilaveroğlu(Bursa Uludag University)0000-0002-8432-623X
Pages
221–230
Publication Date
2025-04-28
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Theoretical results have been validated through computer simulations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:An exact closed-form expression for the variance of frequency estimators proposed by Jacobsen and Kootsookos (2007) and Candan (2011) has been derived.
📊
Key Findings & Data:Additionally, an approximate variance formula applicable for sufficiently large data lengths is provided.
💡
Conclusion & Impact:Theoretical results have been validated through computer simulations.
🔬Design:Araştırma Makalesi
📍Scope:2007 Verileri
⚙️Variables:Frekans kestirimi · Kompleks sinüzoid · Değişinti analizi

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.

Özet

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.

🔖

Cite This Article

Keyta, B. M., Dilaveroğlu, E. (2025). AN EXACT ANALYSIS OF FINE RESOLUTION FREQUENCY ESTIMATION METHOD FROM THREE DFT SAMPLES. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, Cilt: 30 Sayı: 1, 221–230. https://doi.org/10.17482/uumfd.1583908

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (5)

  1. 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
  2. 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
  3. Jacobsen, E. and Kootsookos, P. (2007) Fast, accurate frequency estimators, IEEE Signal Processing Magazine, 24(3), 123-125.
  4. Kay, S.M. (1993) Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, New Jersey.
  5. Papoulis, A. (1991) Probability, Random Variables, and Stochastic Processes, McGraw-Hill, New York.