Matching Pursuit Optimization Based on Quantum Genetic Algorithm

Article Preview

Abstract:

The Matching Pursuit algorithm (MP) utilizes an iterative procedure to project a given waveform onto a particular dictionary, and uses a greedy strategy to optimize the signal approximation at each step. The computation complexity of MP is very high. In this paper we propose an improved decomposition algorithm based on MP and Quantum Genetic Algorithm (QGA), which is called Quantum Genetic Matching Pursuit (QGMP). The improved algorithm can not only get the best matching atom, but also greatly reduce the computation complexity of MP and, therefore, makes the MP can be used in practical system.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

221-226

Citation:

Online since:

June 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Cohen, Leon. Time-frequency distributions-a review., Proceedings of the IEEE 77. 7 (1989): 941-981.

Google Scholar

[2] Mallat, Stephane G., and Zhifeng Zhang. Matching pursuits with time-frequency dictionaries., Signal Processing, IEEE Transactions on 41. 12 (1993): 3397-3415.

DOI: 10.1109/78.258082

Google Scholar

[3] Mallat, Stephane G., and M. Avellaneda. Greedy adaptive approximation.,J. Constr. Approx 13 (1997): 57-98.

DOI: 10.1007/bf02678430

Google Scholar

[4] da Silva, Adelino R. Ferreira. Atomic decomposition with evolutionary pursuit., Digital signal processing 13. 2 (2003): 317-337.

DOI: 10.1016/s1051-2004(02)00028-3

Google Scholar

[5] Q. Gao, A study of genetic algorithms and its applications in fault diagnosis. Dissertation, Xi'an Jiaotong University, PRC, (2005).

Google Scholar

[6] McClure, Mark R., and Lawrence Carin. Matching pursuits with a wave-based dictionary., Signal Processing, IEEE Transactions on 45. 12 (1997): 2912-2927.

DOI: 10.1109/78.650250

Google Scholar

[7] Narayanan, Ajit, and Mark Moore. Quantum-inspired genetic algorithms., Evolutionary Computation, 1996., Proceedings of IEEE International Conference on. IEEE, (1996).

DOI: 10.1109/icec.1996.542334

Google Scholar

[8] Han, Kuk-Hyun, and Jong-Hwan Kim. Genetic quantum algorithm and its application to combinatorial optimization problem., Evolutionary Computation, 2000. Proceedings of the 2000 Congress on. Vol. 2. IEEE, (2000).

DOI: 10.1109/cec.2000.870809

Google Scholar

[9] Lobo, Arthur P., and Philipos C. Loizou. Voiced/unvoiced speech discrimination in noise using gabor atomic decomposition. " Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP, 03). 2003 IEEE International Conference on. Vol. 1. IEEE, (2003).

DOI: 10.1109/icassp.2003.1198907

Google Scholar

[10] Qian, Shie, and Dapang Chen. Signal representation using adaptive normalized Gaussian functions., Signal processing 36. 1 (1994): 1-11.

DOI: 10.1016/0165-1684(94)90174-0

Google Scholar

[11] Herley, Cormac, et al. Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms., Signal Processing, IEEE Transactions on 41. 12 (1993): 3341-3359.

DOI: 10.1109/78.258078

Google Scholar

[12] Nielsen, Michael A., and Isaac L. Chuang. Quantum computation and quantum information. Cambridge university press, (2010).

Google Scholar

[13] Shor, Peter W. Algorithms for quantum computation: discrete logarithms and factoring., Foundations of Computer Science, 1994 Proceedings, 35th Annual Symposium on. IEEE, (1994).

DOI: 10.1109/sfcs.1994.365700

Google Scholar

[14] Yang, Junan, Bin Li, and Zhenquan Zhuang. Research of Quantum Genetic Algorith and its application in blind source separation., Journal of Electronics (China) 20. 1 (2003): 62-68.

DOI: 10.1007/s11767-003-0089-4

Google Scholar

[15] Zhang, Ge-xiang, et al. Novel quantum genetic algorithm and its applications., Frontiers of Electrical and Electronic Engineering in China 1. 1 (2006): 31-36.

Google Scholar