Titlebook: Sampling in Digital Signal Processing and Control; Arie Feuer,Graham C. Goodwin Book 1996 Birkhäuser Boston 1996 Control.Fourier series.Fo

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Book 1996 neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Well known examples are digital tele­ phone systems, digital recording of audio signals and computer control. These developments have been matched by the appearance of a plethora of b

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Analysis of Discrete-Time Systems,r, we will focus entirely on the ‘at-sample’ response. That is, we treat digital signal processing algorithms as simply a way of manipulating an input . {.[.]} to produce an output . {.[.]}. For the moment therefore, we will not explicitly focus on the intersample response. This will be done in later chapters.

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Sampled Data Control,en at the sample points. However, there is no a-priori reason to presume that this will be true. Indeed, we shall see later in this chapter that it is quite possible for the intersample-response to be markedly different from the sampled response.

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Fourier Analysis,The frequency domain plays a central role in our discussion and analysis throughout this book. It is thus appropriate to begin with a treatment of Fourier theory. There are four basic Fourier transforms. These are:

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Optimal Linear Estimation with Finite Impulse Response Filters,In this and the next chapter we turn to estimation problems. These problems have a major impact on many problems in signal processing and control.