Frequency estimation based on symmetric discrete Fourier transform

2021 ◽  
Vol 160 ◽  
pp. 107911
Author(s):  
Rui Li ◽  
Jianping Xuan ◽  
Tielin Shi
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Frequency Estimation

Frequency estimation using warped discrete Fourier transform

2003 ◽  
Vol 83 (8) ◽  
pp. 1661-1671 ◽  
Author(s):  
Stefan Franz ◽  
Sanjit K. Mitra ◽  
Gerhard Doblinger
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Frequency Estimation

Grid frequency estimation using Rife-Vincent Class I Window based Discrete Fourier Transform

2016 ◽  
Author(s):  
Farshina Nazrul ◽  
Sayada Afia Masuma ◽  
Homeira Islam Kafi ◽  
Md. Shamim Reza ◽  
Md Maruf Hossain ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Discrete Fourier Transform ◽  
Frequency Estimation ◽  
Class I

scholarly journals Multi-Tone Frequency Estimation Based on the All-Phase Discrete Fourier Transform and Chinese Remainder Theorem

Sensors ◽  
2020 ◽  
Vol 20 (18) ◽  
pp. 5066
Author(s):  
Xiangdong Huang ◽  
Lu Cao ◽  
Wei Lu
Keyword(s):  
Fourier Transform ◽  
Closed Form ◽  
Discrete Fourier Transform ◽  
High Efficiency ◽  
Chinese Remainder Theorem ◽  
Frequency Estimation ◽  
High Accuracy ◽  
Single Frequency ◽  
Tone Frequency ◽  
Spectrum Correction

The closed-form robust Chinese Remainder Theorem (CRT) is a powerful approach to achieve single-frequency estimation from noisy undersampled waveforms. However, the difficulty of CRT-based methods’ extension into the multi-tone case lies in the fact it is complicated to explore the mapping relationship between an individual tone and its corresponding remainders. This work deals with this intractable issue by means of decomposing the desired multi-tone estimator into several single-tone estimators. Firstly, high-accuracy harmonic remainders are calculated by applying all-phase Discrete Fourier Transform (apDFT) and spectrum correction operations on the undersampled waveforms. Secondly, the aforementioned mapping relationship is built up by a novel frequency classifier which fully captures the amplitude and phase features of remainders. Finally, the frequencies are estimated one by one through directly applying the closed-form robust CRT into these remainder groups. Due to all the components (including closed-form CRT, the apDFT, the spectrum corrector and the remainder classifier) only involving slight computation complexity, the proposed scheme is of high efficiency and consumes low hardware cost. Moreover, numeral results also show that the proposed method possesses high accuracy.

Comparative of Influence of Noise on Frequency Estimation Provided by Three Points Interpolated Discrete Fourier Transform

2020 ◽  
pp. 2150025
Author(s):  
Xirui Shao ◽  
He Wen
Keyword(s):  
Fourier Transform ◽  
White Noise ◽  
Discrete Fourier Transform ◽  
Frequency Estimation ◽  
Signal To Noise Ratio ◽  
Gaussian White Noise ◽  
Signal To Noise ◽  
Dft Simulation ◽  
Simulation Results ◽  
Influence Of Noise

The paper compares the accuracy of two different three points Interpolated Discrete Fourier Transform (M3IpDFT and C3IpDFT) algorithms in the presence of Gaussian white noise. The above two algorithms use the magnitude and the complex value of spectrum line for interpolation, respectively. The theoretical expressions of variances of frequency estimation due to noise are derived and then verified by simulations. From the theoretical and simulation results, the variances of frequency estimation are inversely proportional to the signal-to-noise ratio (SNR) and the length of DFT. Simulation shows that the C3IpDFT outperforms the M3IpDFT.

Sign in / Sign up

Export Citation Format

Share Document