Article detail · 2019
Fast and Efficient Sinusoidal Frequency Estimation by Using the DFT Coefficients
- Year
- 2019
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue IEEE TRANSACTIONS ON COMMUNICATIONS
- Catalog match (ISSN) IEEE Transactions on Communications
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Fast and accurate frequency estimation of a complex sinusoidal plays an important role in many applications, including communications, radar, and sonar. This paper presents two methods for the frequency estimation of a complex sinusoidal in noisy environments. The proposed methods interpolate on shifted DFT coefficients to acquire the frequency estimates iteratively. The first method interpolates on the q-shifted DFT coefficients of the signal, whose optimum iteration number is found to be a logarithmic function of the signal length. Furthermore, we also show that by appropriately selecting the value of the shift q, the proposed method becomes asymptotically efficient. In the second method, we use hybrid half-shifted and q-shifted DFT interpolators together, which converges in only two iterations. It is shown that both of the estimators are asymptotically unbiased with their mean square errors performing on the Crámer-Rao lower bound. Theoretical results are validated by extensive computer simulations.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
166 citations
OpenAlex cited_by_count (cache / database)
8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Performance of Chirp Parameter Estimation in the Fractional Fourier Domains and an Algorithm for Fast Chirp-Rate Estimation 2020
- A Fast Method for Estimating Frequencies of Multiple Sinusoidals 2020
- Fast and Efficient Estimation of Frequencies 2021
- LFM signal parameter estimation in the fractional Fourier domains: Analytical models and a high-performance algorithm 2024
- Fast and Efficient 2-D and K-D DFT-Based Sinusoidal Frequency Estimation 2022
- Threshold Regions in Frequency Estimation 2022
- A Novel DFT-Based Algorithm for 2-D Multiple Sinusoidal Frequency Estimation 2024
- An Improved Frequency Estimator Using Auxiliary DFT Samples: CRB Performance Across All Signal Lengths 2025