Abstract
In our previous work [1], we studied the geometrical structures of finite impulse response (FIR) filters and present a permutable cascade decovolution structure based on the filter decomposition [1]. The stability of algorithms was not discussed in [2]. In this paper, we further analyze the cascade structures of filter decomposition and obtain the stability conditions of proposed algorithms. Finally, we give some examples to illustrate the stability conditions are sufficiency.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Xia, B., Zhang, L.Q.: Multichannel Blind Deconvolution of Non-minimum Phase System Using Cascade Structure. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds.) ICONIP 2004. LNCS, vol. 3316, pp. 1186–1191. Springer, Heidelberg (2004)
Zhang, L.Q., Amari, S., Cichocki, A.: Multichannel Blind Deconvolution of Non-minimum Phase Systems Using Filter Decomposition. IEEE Trans. Signal Processing 52, 1430–1442 (2004)
Amari, S.: Natural Gradient Works Efficiently in Learning. Neural Computation 10, 251–276 (1998)
Bell, A.J., Sejnowski, T.J.: An Information-maximization Approach to Blind Separation and Blind Deconvolution. Neural Computation 7, 1129–1159 (1995)
Cardoso, J., Laheld, B.: Equivariant Adaptive Source Separation. IEEE Trans. on Signal Processing 44, 3017–3030 (1996)
Comon, P.: Independent Component Analysis: A New Concept. Signal Processing 36, 287–314 (1994)
Amari, S., Chen, T., Cichocki, A.: Stability Analysis of Learning Algorithms for Blind Source Separation. Neural Networks 10, 1345–1351 (1997)
Zhang, L.Q., Amari, S., Cichocki, A.: Geometrical Structures of FIR Manifold and Multichannel Blind Deconvolution. Journal of VLIS for Signal Processing Systems 31, 31–44 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xia, B., Zhang, L. (2005). Stability Analysis of Multichannel Blind Deconvolution. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_84
Download citation
DOI: https://doi.org/10.1007/11427445_84
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25913-8
Online ISBN: 978-3-540-32067-8
eBook Packages: Computer ScienceComputer Science (R0)