2D-spectral estimation based on DCT and modified magnitude group delay

Sandeep, P and Shreyamsha Kumar, B K and Narasimhan, SV (2011) 2D-spectral estimation based on DCT and modified magnitude group delay. SIViP .

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    Abstract

    This paper proposes two new 2D-spectral estimation methods. The 2D-modified magnitude group delay (MMGD) is applied to 2D-discrete Fourier transform (2DDFT) 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.

    Item Type: Journal Article
    Uncontrolled Keywords: 2D-spectral estimation · 2D-discrete cosine transform · 2D-analytic DCT · Modified magnitude group delay · 2D-Hilbert transform
    Subjects: ENGINEERING > Communications and Radar
    Division/Department: Computational and Theoretical Fluid Dynamics Division, Aerospace Electronics and Controls Division, Aerospace Electronics and Controls Division
    Depositing User: Ms Indrani V
    Date Deposited: 02 Apr 2013 11:17
    Last Modified: 02 Apr 2013 11:20
    URI: http://nal-ir.nal.res.in/id/eprint/11531

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