Abstract
In this paper, a novel one dimensional harmonic retrieval (HR) algorithm is proposed, which can be applied in additive colored Gaussian or non-Gaussian noise when the frequencies of the harmonic signals are closely spaced in frequency domain. Resorting to the blind source separation (BSS) based harmonic retrieval model, the main algorithm is developed mainly using the wavelet packet (WP) decomposition approach, where the criterion is formed as the cumulant based approximation of the mutual information (MI) for the selection of optimal sub-band of WP decomposition with the least-dependent components between the same nodes. Simulation results show that the proposed algorithm can retrieve the harmonic source signals and yield good performance.
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References
Sherman, P.J.: Three techniques for harmonic retrieval in unknown colored noise. Mech. Syst. Signal Pr. 5(3), 183–197 (1991)
Swami, A., Mendel, J.M.: Cumulant-based approach to the harmonic retrieval and related problems. IEEE Trans. Signal Proces. 39(5), 1099–1109 (1991)
Zhang, X.D., Liang, Y.C., Li, Y.D.: A hybrid approach to harmonic retrieval in non-Gaussian noise. IEEE Trans. Inform. Theory 40(4), 1220–1226 (1994)
Yang, S.Y., Li, H.W., Jiang, T.: Detecting the number of 2-D harmonics in multiplicative and additive noise using enhanced matrix. Digit. Signal Process 22(3), 246–252 (2012)
Hyvarinen, A., Karhunen, J., Oja, E.: Independent Component Analysis. Wiley-Interscience, New York (2001)
Cichocki, A., Amari, S.: Adaptive blind signal and image processing: learning algorithms and applications. Wiley-Interscience, New York (2002)
Comon, P., Jutten, C.: Handbook of blind source separation: independent component analysis and applications. Elsevier, Oxford (2010)
Wang, F.S., Zhang, L.R., Li, R.: Harmonic Retrieval by Period Blind Source Extraction Method: Model and Algorithm. Digit. Signal Process 22(5), 569–585 (2012)
Zhang, K., Chan, L.W.: An adaptive method for subband decomposition ICA. Neural Comput. 18(1), 191–223 (2006)
Coifman, R., Wickerhauser, M.: Entropy-based algorithms for best basis selection. IEEE Trans. Inform. Theory 38(3), 713–718 (1992)
Cardoso, J.F.: Dependence, correlation and gaussianity in independent component analysis. J. Mach. Learn. Res. 4, 1177–1203 (2003)
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© 2015 Springer International Publishing Switzerland
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Wang, F., Wang, Z., Li, R., Zhang, L. (2015). Blind Source Separation and Wavelet Packet Based Novel Harmonic Retrieval Algorithm. In: Tan, Y., Shi, Y., Buarque, F., Gelbukh, A., Das, S., Engelbrecht, A. (eds) Advances in Swarm and Computational Intelligence. ICSI 2015. Lecture Notes in Computer Science(), vol 9141. Springer, Cham. https://doi.org/10.1007/978-3-319-20472-7_42
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DOI: https://doi.org/10.1007/978-3-319-20472-7_42
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