Abstract
In this paper, an adaptive array beamforming by an unstructured neural network based on the mathematics of holographic storage is presented. This work is inspired by similarities between brain waves and the wave propagation and subsequent interference patterns seen in holograms. Then the mathematics to produce a general mathematical description of the holographic process is analyzed. From this analysis it is shown that how the holographic process can be used as an associative memory network. Additionally, the process may also be used a regular feed-forward network. The most striking aspect of these network is that, using the holographic process, the apriori knowledge of the system may be better utilized to tailor the neural network for an adaptive beamforming problem. This aspect, makes this neural network formation process particularly useful for the beamforming.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jenkins, F.A., White, H.E.: Fundamentals of Optics (1976)
DeVelis, J.B., Reynolds, G.O.: Theory and Applications of Holography (1967)
Goodman, J.W.: Introduction to Fourier Optics (1968)
Roach, G.F.: Green’s Functions, 2nd edition (1970)
Arfken, G.: Mathematical Methods for Physicists (1970)
Debnath, L., Mikusinski, P.: Introduction to Hilbert Spaces with Appl. (1990)
Schneider, W.A.: Integral formulation for migration in two and three dimensions. Geophysic 43(1), 49–76 (1978)
Zurada, J.M.: Introduction to Artificial Neural Systems (1995)
Haykin, S.: Neural Networks: A Comprhensive Foundation (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Demirkol, A., Acar, L., Woodley, R.S. (2006). An Adaptive Beamforming by a Generalized Unstructured Neural Network. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893257_61
Download citation
DOI: https://doi.org/10.1007/11893257_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46481-5
Online ISBN: 978-3-540-46482-2
eBook Packages: Computer ScienceComputer Science (R0)