Advanced Signal Processing Handbook: Theory and by Stergios Stergiopoulos

By Stergios Stergiopoulos

Advances in electronic sign processing algorithms and desktop know-how have mixed to supply real-time platforms with features some distance past these of simply few years in the past. Nonlinear, adaptive tools for sign processing have emerged to supply higher array achieve functionality, despite the fact that, they lack the robustness of traditional algorithms. The problem is still to advance an idea that exploits the benefits of both-a scheme that integrates those equipment in sensible, real-time systems.The complicated sign Processing instruction manual is helping you meet that problem. past delivering a very good advent to the rules and functions of complex sign processing, it develops a time-honored processing constitution that takes good thing about the similarities that exist between radar, sonar, and scientific imaging platforms and integrates traditional and nonlinear processing schemes.

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12) where O denotes “the order of,” and ε denotes the fraction of classification errors permitted on test data. For example, with an error of 10%, the number of training examples needed should be about ten times the number of synaptic weights in the network. Supposing that we have chosen a multilayer perceptron to be trained with the BP algorithm, how do we determine when it is “best” to stop the training session? How do we select the size of individual hidden layers of the MLP? The answers to these important questions may be obtained through the use of a statistical technique known as cross-validation, which proceeds as follows: • The set of training examples is split into two parts: 1.

18(4), 361–365, 1993. ©2001 CRC Press LLC 26. B. A. N. Mikhalevsky, An overview of matched field methods in ocean acoustics, IEEE J. , 18(4), 401–424, 1993. 27. “Editorial” special issue on neural networks for oceanic engineering systems, IEEE J. , 17, 1–3, October 1992. 28. A. Kummert, Fuzzy technology implemented in sonar systems, IEEE J. , 18(4), 483–490, 1993. 29. D. Doolitle, A. J. Sullivan, Editorial special issue on detection and estimation in matched field processing, IEEE J. , 18, 153–155, 1993.

The batch mode is best suited for nonlinear regression. The BP learning algorithm is simple to implement and computationally efficient in that its complexity is linear in the synaptic weights of the network. However, a major limitation of the algorithm is that it can be excruciatingly slow, particularly when we have to deal with a difficult learning task that requires the use of a large network. Traditionally, the derivation of the BP algorithm is done for real-valued data. This derivation may be extended to complex-valued data by permitting the free parameters of the multilayer perceptron to assume complex values.

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