Schlichthärle Digital Filters
Erscheinungsjahr 2012
ISBN: 978-3-662-04170-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Basics and Design
E-Book, Englisch, 361 Seiten, Web PDF
Reihe: Engineering (R0)
ISBN: 978-3-662-04170-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
It is the aim of this textbook to give insight into the characteristics and the design of digital filters. It briefly introduces to the theory of continuous-time systems and the design methods for analog filters. Time-discrete systems, the basic structures of digital filters, sampling theorem, and the design of IIR filters are widely discussed. Important parts of the book are devoted to the design of non-recursive filters and the effects of finite register length. The explanation of techniques like oversampling and noise shaping conclude the book. It is completed by an annex containing a selection of tables of filter parameters for Butterworth, Chbeyshev, Cauer, and Bessel filters. Furthermore, several computer routines for filter design programs are given.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
1 Continuous-Time Systems.- 1.1 Relations in the Time Domain.- 1.2 Relations in the Frequency Domain.- 1.3 Transfer Functions.- 2 Analog Filters.- 2.1 The Ideal Low-Pass Filter.- 2.2 Butterworth Filters.- 2.3 Chebyshev Filters.- 2.4 Inverse Chebyshev Filters.- 2.5 Elliptic Filters.- 2.6 Bessel Filters.- 2.7 Filter Fransformations.- 3 Discrete-Time Systems.- 3.1 Discrete-Time Convolution.- 3.2 Relations in the Frequency Domain.- 3.3 The z-Transform.- 3.4 Stability Criterion in the Time Domain.- 3.5 Further Properties of the Unit-Sample Response h(n).- 4 Sampling Theorem.- 4.1 Introduction.- 4.2 Sampling.- 4.3 Band-Limited Signals.- 4.4 Practical Aspects of Signal Conversion.- 4.5 Mathematical Analysis of the D/A Conversion Process.- 5 Filter Structures.- 5.1 Graphical Representation of Discrete-Time Networks.- 5.2 FIR Filters.- 5.3 IIR Filters.- 5.4 Further Properties of Transfer Functions.- 5.5 State-Space Structures.- 5.6 The Normal Form.- 5.7 Digital Ladder Filters.- 6 Design of IIR Filters.- 6.1 Introduction.- 6.2 Preservation Theorem of the Convolution.- 6.3 Approximation in the Time Domain.- 6.4 Approximation in the Frequency Domain.- 7 Design of FIR Filters.- 7.1 Introduction.- 7.2 Linear-Phase Filters.- 7.3 Frequency Sampling.- 7.4 Minimisation of the Mean-Square Error.- 7.5 Chebyshev Approximation.- 7.6 Maximally Flat (MAXFLAT) Design.- 8 Effects of Finite Register Length.- 8.1 Classification of the Effects.- 8.2 Number Representation.- 8.3 Quantisation.- 8.4 System Noise Behaviour.- 8.5 Noise Optimisation with Fixed-Point Arithmetic.- 8.6 Finite Coefficient Wordlength.- 8.7 Limit Cycles.- 9 Oversampling and Noise Shaping.- 9.1 D/A Conversion.- 9.2 A/D Conversion.- 10 Appendix.- 10.1 Symbols and Abbreviations.- 10.2 References.- 10.3 Filter Design Tables.- 10.4Filter Design Routines.
