Analysis of multicomponent AM-FM signals using FB-DESA method

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Abstract

The discrete energy separation algorithm (DESA) together with the Gabor's filtering provides a standard approach to estimate the amplitude envelope (AE) and the instantaneous frequency (IF) functions of a multicomponent amplitude and frequency modulated (AM-FM) signal. The filtering operation introduces amplitude and phase modulations in the separated monocomponent signals, which may lead to an error in the final estimation of the modulation functions. In this paper, we have proposed a method called the Fourier–Bessel expansion-based discrete energy separation algorithm (FB-DESA) for component separation and estimation of the AE and IF functions of a multicomponent AM-FM signal. The FB-DESA method does not introduce any amplitude or phase modulation in the separated monocomponent signal leading to accurate estimations of the AE and IF functions. Simulation results with synthetic and natural signals are included to illustrate the effectiveness of the proposed method.

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Ram Bilas Pachori was born on January 8, 1979, in Morena, India. He received the B.E. degree with honors in Electronics and Telecommunication Engineering from the Rajiv Gandhi Technological University, Bhopal, India, in 2001. He received the M.Tech. and the Ph.D. degrees both in Electrical Engineering from Indian Institute of Technology Kanpur, India, in 2003 and 2008, respectively. Since April 2008, he has been an Assistant Professor at the International Institute of Information Technology,

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    Citation Excerpt :

    In the literature, numerous nonstationary analysis methods have been proposed to adopt the efficient decomposition of nonstationary multicomponent signals. The majority of such methods comprise of discrete Fourier transform (DFT) based filter bank [6], wavelet transform [7], flexible analytic wavelet transform (FAWT) [8], Fourier Bessel series expansion, and it’s variants [5,9], tunable-Q wavelet transform (TQWT) [10], eigenvalue decomposition (EVD) and its variants [11,12], empirical wavelet transform (EWT) and its hybrid variants [13,14]. Amongst these methods, many are based on atomic decomposition and energy distribution on quadratic TF representations.

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Ram Bilas Pachori was born on January 8, 1979, in Morena, India. He received the B.E. degree with honors in Electronics and Telecommunication Engineering from the Rajiv Gandhi Technological University, Bhopal, India, in 2001. He received the M.Tech. and the Ph.D. degrees both in Electrical Engineering from Indian Institute of Technology Kanpur, India, in 2003 and 2008, respectively. Since April 2008, he has been an Assistant Professor at the International Institute of Information Technology, Hyderabad, India. Before joining International Institute of Information Technology, Hyderabad, he was a Postdoctoral Fellow at the University of Technology of Troyes, Troyes, France for one year (April 2007–March 2008).

His research interests include biomedical signal processing, modeling of nonstationary signals, time–frequency analysis, speech and image processing, and signal processing for communications. He is a Member of the IEEE (Communications Society) and a Member of the European Association for Signal and Image Processing.

Pradip Sircar received the B.Sc. degree in Physics from Calcutta University in 1974, the B.Tech. degree in Instrumentation and Electronics Engineering from Jadavpur University, Calcutta in 1978, and the M.S. and Ph.D. degrees both in Electrical Engineering from Syracuse University, Syracuse, NY, in 1983 and 1987, respectively. He was appointed an Assistant Professor in the Department of Electrical and Computer Engineering of Syracuse University in 1987. He joined the Department of Electrical Engineering, Indian Institute of Technology Kanpur in 1988, where presently he is a Professor. He was a Visiting Professor at Ecole Nationale Superieure des Telecommunications, Paris for one year (1998–1999).

His research interests are in the areas of signal processing, computations and communications. He is a Fellow of the Institution of Electronics and Telecommunication Engineers, a Senior Member of the IEEE, and a Member of the European Association for Signal and Image Processing. He is an Associate Editor of the Journal of The Franklin Institute.

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