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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… Click to show full abstract
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.
Journal Title: Fluctuation and Noise Letters
Year Published: 2020
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