Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator
This research presents a comprehensive study of the dichotomous search iterative parabolic discrete time Fourier transform (Ds-IpDTFT) estimator, a novel approach for fine frequency estimation in noisy exponential signals. The proposed estimator leverages a dichotomous search process before iterativ...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/23/17/7461 |
| _version_ | 1797581848401936384 |
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| author | Miaomiao Wei Yongsheng Zhu Jun Sun Xiangyang Lu Xiaomin Mu Juncai Xu |
| author_facet | Miaomiao Wei Yongsheng Zhu Jun Sun Xiangyang Lu Xiaomin Mu Juncai Xu |
| author_sort | Miaomiao Wei |
| collection | DOAJ |
| description | This research presents a comprehensive study of the dichotomous search iterative parabolic discrete time Fourier transform (Ds-IpDTFT) estimator, a novel approach for fine frequency estimation in noisy exponential signals. The proposed estimator leverages a dichotomous search process before iterative interpolation estimation, which significantly reduces computational complexity while maintaining high estimation accuracy. An in-depth exploration of the relationship between the optimal parameter <i>p</i> and the unknown parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula> forms the backbone of the methodology. Through extensive simulations and real-world experiments, the Ds-IpDTFT estimator exhibits superior performance relative to other established estimators, demonstrating robustness in noisy conditions and stability across varying frequencies. This efficient and accurate estimation method is a significant contribution to the field of signal processing and offers promising potential for practical applications. |
| first_indexed | 2024-03-10T23:13:24Z |
| format | Article |
| id | doaj.art-6bdc8bb67e6b43c4b1f1b80d90abf8c2 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T23:13:24Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-6bdc8bb67e6b43c4b1f1b80d90abf8c22023-11-19T08:50:11ZengMDPI AGSensors1424-82202023-08-012317746110.3390/s23177461Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT EstimatorMiaomiao Wei0Yongsheng Zhu1Jun Sun2Xiangyang Lu3Xiaomin Mu4Juncai Xu5Department of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, ChinaDepartment of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, ChinaDepartment of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, ChinaDepartment of Electronic and Information, Zhongyuan University of Technology, Zhengzhou 450007, ChinaDepartment of Information Engineering, Zhengzhou University, Zhengzhou 450001, ChinaDepartment of Civil Engineering, Case Western Reserve University, Cleveland, OH 44106, USAThis research presents a comprehensive study of the dichotomous search iterative parabolic discrete time Fourier transform (Ds-IpDTFT) estimator, a novel approach for fine frequency estimation in noisy exponential signals. The proposed estimator leverages a dichotomous search process before iterative interpolation estimation, which significantly reduces computational complexity while maintaining high estimation accuracy. An in-depth exploration of the relationship between the optimal parameter <i>p</i> and the unknown parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula> forms the backbone of the methodology. Through extensive simulations and real-world experiments, the Ds-IpDTFT estimator exhibits superior performance relative to other established estimators, demonstrating robustness in noisy conditions and stability across varying frequencies. This efficient and accurate estimation method is a significant contribution to the field of signal processing and offers promising potential for practical applications.https://www.mdpi.com/1424-8220/23/17/7461Ds-IpDTFTfine frequency estimationnoisy exponential signalscomputational complexitysignal processing |
| spellingShingle | Miaomiao Wei Yongsheng Zhu Jun Sun Xiangyang Lu Xiaomin Mu Juncai Xu Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator Sensors Ds-IpDTFT fine frequency estimation noisy exponential signals computational complexity signal processing |
| title | Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator |
| title_full | Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator |
| title_fullStr | Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator |
| title_full_unstemmed | Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator |
| title_short | Performance Optimization in Frequency Estimation of Noisy Signals: Ds-IpDTFT Estimator |
| title_sort | performance optimization in frequency estimation of noisy signals ds ipdtft estimator |
| topic | Ds-IpDTFT fine frequency estimation noisy exponential signals computational complexity signal processing |
| url | https://www.mdpi.com/1424-8220/23/17/7461 |
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