By Dag Stranneby and William Walker (Auth.)

Content material:

Preface

, *Pages ix-x*

1 - Introduction

, *Pages 1-39*

2 - The analog—digital interface

, *Pages 41-71*

3 - Adaptive electronic systems

, *Pages 73-93*

4 - Non-linear applications

, *Pages 95-130*

5 - Spectral research and modulation

, *Pages 131-158*

6 - creation to Kalman filters

, *Pages 159-177*

7 - info compression

, *Pages 179-207*

8 - Error-correcting codes

, *Pages 209-239*

9 - electronic sign processors

, *Pages 241-277*

Appendix 1 - strategies to problems

, *Pages 279-312*

Appendix 2 - A MATLAB^{™}/Simulink^{™} primer

, *Pages 313-340*

References

, *Pages 341-343*

Glossary

, *Pages 345-349*

Index

, *Pages 351-357*

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**Sample text**

Needs to be able to look into the future. There are, however, other design methods for controllers used with processes having delay. 18). This type of controller commonly performs very well and is capable of handling processes with delay. e. G(z) = B(z)/A(z). 87) R(z) A(z)C(z) + B(z)F(z) The first thing to do is to determine the placement of the poles of the closedloop transfer function. This is, of course, a delicate question well beyond the scope of this book. However, as a rule of thumb, the poles are commonly placed inside the unit circle (of course), not too close to the unit circle and in a sector ranging approximately Q = ± n/4 in the z-plane.

Why is it needed and under what circumstances? Rl-10 Which four demands are commonly placed on a closed-loop control system? Rl-11 Which three parameters are there to be set in a PID controller? Rl-12 What are the pros and cons of a dead-beat controller? Solved problems Pl-1 An analog signal is converted to a digital bitstream. If the maximum frequency of the signal is 10 kHz, and we need 58 dB dynamic range, what is the data rate of the bitstream in bits/s, assuming a perfect "brick-wall" anti-aliasing filter?

Astrom and Wittenmark (1984) and Wilkie et al (2002). Summary In this chapter the following main topics have been addressed: • • • • • • • • • • • • • • • • • Review questions Signals, discrete and continuous in amplitude and time Sampling, aliasing, the Nyquist frequency Quantization, resolution, dynamic range and quantization noise Linearity, the principle of superposition, LTI systems, causality Difference equations and state-space models Impulse response and convolution Transfer functions in the z-plane The frequency response, the gain function and the phase shift function Some filter architectures: non-recursive, recursive and lattice filters, FIR and IIR The impossibility of designing the perfect filter The Butterworth, Chebyshev, Cauer and Bessel approximations Indirect and direct filter synthesis methods Impulse invariance, step invariance and ramp invariance The bilinear transform and pre-warping, Euler's method The Fourier method, frequency sampling, simulation and McClellan-Parks/ Remez exchange algorithm Digital control, closed- and open-loop transfer functions, stability PID, direct synthesis, pole placement and dead-beat controllers.