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We present in this paper a new real image demodulation algorithm. Because of the multicomponent aspects of real images, we first split the image into narrow band components by the means of a Gabor filterbank. Each narrowband component is then demodulated by using the 2D higher order Teager-Kaiser operators (HOTKO). The demodulation process ends by a pixel-by-pixel selection achieved through a dominant...
In this paper, we provide some theoretical contributions on the study of the 2D empirical mode decomposition (EMD). For doing this, we model the 2D sifting process (SP) in a suitable way, which helps us prove its convergence. Indeed, we prove that the 2D SP converges towards the solution of a fourth order partial differential equation (PDE). We show that 2D intrinsic mode functions (IMFs) are well...
For the first time, a proof of the sifting process (SP) and so the empirical mode decomposition (EMD), is given. For doing this, lower and upper envelopes are modeled in a more convenient way that helps us prove the convergence of the SP towards a solution of a partial differential equation (PDE). We also prove that such a PDE has a unique solution, which ensures the uniqueness of the EMD decomposition...
We present in this paper a new narrowband image demodulation method. Our approach is based on the 2D higher order Teager-Kaiser operators (HOTKO). We show that the introduction of higher orders in the Teager-Kaiser operator, improves a lot the demodulation results, in comparison to the discrete energy separation algorithm (DESA) and the analytic image (AI) method. More precisely, for synthetic images,...
This paper describes a new method based on the 2D Teager- Kaiser Energy Operator (2DTKEO) for image contrast enhancement. The 2DTKEO reflects better the local activity than the amplitude of a classical edges detection operator. This quadratic filter is used to enhance high frequency information which is then combined with image gray values to estimate the edge strength value used in the enhancement...
In this paper a new wideband image demodulation algorithm based on the Teager-Kaiser operator is proposed. A Gabor filter bank is first used to decompose the wideband image into multiple narrow band components. Directly applied on these components, the demodulation yields many artifacts on both the amplitude and the frequency modulation counterparts. To reduce these artifacts, a low-pass filter in...
In this paper, a speech signal noise reduction based on a multiresolution approach referred to as Empirical Mode Decomposition (EMD) [1] is introduced. The proposed speech denoising method is a fully data-driven approach. Noisy signal is decomposed adaptively into oscillatory components called Intrinsic Mode Functions (IMFs), using a temporal decomposition called sifting process. The basic principle...
In this paper an automatic bi-level thresholding method of grey scale images using the Teager-Kaiser Energy Operator (TKEO) is proposed. The TKEO, a quadratic filter, is used to enhance high frequency information which is then combined with image grey values to estimate the threshold value. More precisely, this threshold is the average of the grey values by the energy at each pixel. The TKEO reflects...
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