Login



Other Articles by Author(s)

Seda Senay



Author(s) and WSEAS

Seda Senay


WSEAS Transactions on Signal Processing


Print ISSN: 1790-5052
E-ISSN: 2224-3488

Volume 14, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.



Adaptive Analysis of Sparse Signals

AUTHORS: Seda Senay

Download as PDF

ABSTRACT: We introduce an adaptive method for analysis of sparse signals using bandpass filters obtained by modulated Slepian sequences. Similar to the recently introduced empirical wavelet transform, the proposed method decomposes a signal into different modes which corresponds to segmenting the Fourier spectrum and filtering the existing support. The simulations illustrate the correct signal decomposition for a multiband signal which has a sparse spectrum. The proposed method can be used as an alternative to empirical wavelet transform

KEYWORDS: Slepian sequences, multiband signals, filter banks, orthogonal bases, empirical wavelet transform

REFERENCES:

[1] N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung, and H.H.Liu, “The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis”, Proc. Roy. Soc. London, vol. 454, pp. 903–995, 1998.

[2] S. Jaffard, Y. Meyer, and R.D. Ryan, “Wavelets: Tools for Science and Technology”, SIAM, 2001.

[3] F. G. Meyer and R.R. Coifman, “Brushlets: A tool for directional image analysis and compression”, J. Appl. Computat. Harmon. Analysis, vol. 4, pp 147–187, 1997.smallskip

[4] I. Daubechies, J. Lu, and H.-T. Wu, “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool”, J. Appl. Computat. Harmon. Analysis, vol. 30, no. 2, pp. 243–261, 2011.

[5] Jerome Gilles, “Empirical Wavelet Transform”, IEEE Transactions on Signal Processing, Vol. 61, No. 16, August 15, 2013 pp. 3999–4010.

[6] D. Slepian, Prolate spheroidal wave functions, fourier analysis, and uncertainty V: The discrete case, Bell Syst. Tech. J., 57(5), 1978, 1371-1430.

[7] Jinsung Oh, S. Senay, and L. F. Chaparro, “Signal Reconstruction from Nonuniformly Spaced Samples Using Evolutionary Slepian Transform-Based POCS”, Eurasip Journal on Advances in Signal Processing, vol. 2010, pp. 1–13, 2010

WSEAS Transactions on Signal Processing, ISSN / E-ISSN: 1790-5052 / 2224-3488, Volume 14, 2018, Art. #16, pp. 125-129


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

Bulletin Board

Currently:

The editorial board is accepting papers.


WSEAS Main Site