Abstract | ||
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This paper proposes two new 2D-spectral estimation methods. The 2D-modified magnitude group delay (MMGD) is applied to 2D-discrete Fourier transform (2D-DFT) for the first and to the analytic 2D-discrete Cosine transform for the second. The analytic 2D-DCT preserves the desirable properties of the DCT (like, improved frequency resolution, leakage and detectability) and is realized by a 2D-discrete cosine transform (2D-DCT) and its Hilbert transform. The 2D-MMGD is an extension from 1D to 2D, and it reduces the variance preserving the original frequency resolution of 2D-DFT or 2D-analytic DCT, depending upon to which is applied. The first and the second methods are referred to as DFT-MMGD and DCT-MMGD, respectively. The proposed methods are applied to 2D sinusoids and 2D AR process, associated with Gaussian white noise. The performance of the DCT-MMGD is found to be superior to that of DFT-MMGD in terms of variance, frequency resolution and detectability. The performance of DFT-MMGD and DCT-MMGD is better than that of 2D-LP method even when the signal to noise ratio is low. |
Year | DOI | Venue |
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2013 | 10.1007/s11760-011-0286-9 | Signal, Image and Video Processing |
Keywords | Field | DocType |
spectral estimation,discrete fourier transform,hilbert transform,signal to noise ratio,discrete cosine transform,gaussian white noise | Non-uniform discrete Fourier transform,Spectral density estimation,Pattern recognition,Discrete cosine transform,Short-time Fourier transform,Artificial intelligence,Discrete Fourier transform,Fractional Fourier transform,Discrete sine transform,S transform,Mathematics | Journal |
Volume | Issue | ISSN |
7 | 5 | 1863-1711 |
Citations | PageRank | References |
1 | 0.36 | 5 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
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P. Sandeep | 1 | 45 | 3.77 |
B. K. ShreyamshaKumar | 2 | 99 | 7.66 |
S. V. Narasimhan | 3 | 93 | 15.07 |