By Simon Haykin
Represents the main accomplished remedy on hand of neural networks from an engineering point of view. Examines all of the very important facets of this rising expertise. DLC: Adaptive filters.
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Additional resources for Adaptive Filter Theory (3rd Edition)
2 and check the results with that obtained through the direct method. Part I Digital Signal Processing Digital Control Kannan M. Moudgalya © 2007 John Wiley & Sons, Ltd. ISBN: 978-0-470-03143-8 Chapter 3 Linear System The approach followed in this book is to design linear controllers using linear models. We also have to ensure that the controllers are realizable, or equivalently, implementable. We need the concept of causality for this purpose. In this chapter, we present the concepts of linearity, causality, as well as time invariance and stability.
Let us consider the extreme case of limN →∞ a−N y(N ) = 0. 16) k=m+1 making it clear that the current output y(m) depends on only future values of input, u(k), k > m. From this example, we see that if the value of output y is speciﬁed at a ﬁnite point N , the system is not causal. 2. 6: Unit step (left) and unit impulse (right) signals • The ﬁrst solution is to choose N to be −∞. In this case, there is no question of even worrying about what happens before N . On the ﬂip side, we will have to remember all the input values applied from −∞ onwards.
Because a constant value is a polynomial of zero degree, this is known as the zero order hold (ZOH) scheme. Although more complicated types of hold operations are possible, the ZOH is most widely used and it is usually suﬃcient. The ZOH operation usually comes bundled as a part of the D/A converter. In the rest of this book, we will use only ZOH. We have talked about the procedure to convert the signals so that they are suitable to the receiving systems. Now let us discuss some issues in connecting the plant to the loop.
Adaptive Filter Theory (3rd Edition) by Simon Haykin