Functional Link Artificial Neural Networks Filter for Gaussian Noise

Article Preview

Abstract:

In this paper, FLANN(functional link ANN) filter is presented for Gaussian noise. FLANN is a singer layer with expanded input vectors and has lower computational cost than MLP(multilayer perceptron). Three types of functional expansion are discussed. BP(back propagation algorithm) for nonlinear activation function and matrix calculation for identical activation function are exploited for training FLANN. Simulation shows that convergence is not guaranteed in BP and related to the initial weight matrix and training images, and that linear FLANN trained by matrix calculation performs better than both nonlinear FLANN trained by BP and Wiener filter in detail region in environment of Gaussian noise

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2580-2585

Citation:

Online since:

August 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] J. S. Goldstein, I.S. Reed and L. L . Scharf, A multistage representation of the Wiener filter based on orthogonal projections, IEEE Transactions on Information Theory, vol. 44, no. 7, pp.2943-2959, Nov. (1998).

DOI: 10.1109/18.737524

Google Scholar

[2] S.G. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Trans. PAMI, vol. 11, no. 7, pp.674-693, July, (1989).

DOI: 10.1109/34.192463

Google Scholar

[3] M. Lysaker, A. Lundervold and X.C. Tai, Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time, IEEE Trans. on Image Processing, vol. 12, no. 12, pp.1579-1590, Dec. (2003).

DOI: 10.1109/tip.2003.819229

Google Scholar

[4] M.J. Black, G. Sapiro, D.H. Marimont and D. Heeger. Robust anisotropic diffusion, IEEE Trans. on Image Processing., vol. 7, no. 3, pp.421-432, Mar. (1998).

DOI: 10.1109/83.661192

Google Scholar

[5] C. Tomasi and R. Manduchi, Bilateral filtering for gray and color images, in Proc. Of the 1998 IEEE Int. Con. on Com. Vision, Bombay, India, pp.839-846.

Google Scholar

[6] L. Corbalan, G. Osella Massa, C. Russo, L. Lanzarini and A. De Giusti. Image recovery using a new nonlinear adaptive filter based on neural networks, in 28th Int. Conf. Information Technology Interfaces, Cavtat, Croatia, June 19-22, 2006, pp.355-360.

DOI: 10.1109/iti.2006.1708506

Google Scholar

[7] T.A. Cheema, I.M. Qureshi and A. Hussain, Blind image deconvolution using space-variant neural network approach., Electronics Letters, vol. 41, no. 6, pp.308-309, Mar. (2005).

DOI: 10.1049/el:20057273

Google Scholar

[8] Y.H. Pao. Adaptive Pattern Recognition and Neural Networks. Reading, MA: Addison-Wesley, (1989).

Google Scholar

[9] Y.H. Pao, S.M. Phillips and D.J. Sobajic, Neural-net computing and the intelligent control systems, Int. J. Contr., vol. 56, no. 2, pp.263-289, (1992).

DOI: 10.1080/00207179208934315

Google Scholar

[10] G. L. Sicuranza and A. Carini, Adaptive recursive FLANN filters for nonlinear active noise control, in ICASSP 2011, pp.4312-4315.

DOI: 10.1109/icassp.2011.5947307

Google Scholar

[11] G. L. Sicuranza and A. Carini, A generalized FLANN filter for nonlinear active noise control., IEEE Trans. on Audio, Speech and Language Processing, vol. 19, no. 8, Nov. (2011).

DOI: 10.1109/tasl.2011.2136336

Google Scholar

[12] W.D. Wang and C.T. Yen, Reduced-decision feedback FLANN nonlinear channel equalizer for digital communication systems, IEE Proc. Commun., vol. 151, no. 4, pp.305-311, Aug. (2004).

DOI: 10.1049/ip-com:20040465

Google Scholar

[13] J.C. Patra, N.C. Thanh and P.K. Meher, Computationally efficient FLANN-based intelligent stock price prediction system, in Proceedings of International Joint Conference on Neural Networks, Atlanta Georgia, USA, june 14-19, 2009, pp.2431-2438.

DOI: 10.1109/ijcnn.2009.5178594

Google Scholar

[14] J.S. Lee. Digital image enhancement and noise filtering by use of local statistics,. IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-2, pp.165-168, Mar. (1980).

DOI: 10.1109/tpami.1980.4766994

Google Scholar