Multirate digital signal processing, NJ Fliege

Tags: Filter Banks, Quadrature Mirror Filter Banks, Representation, Symmetry Properties, Uniform Approximation, Transmultiplexer Filter Banks, Synthesis Filter Banks, Paraunitary Polyphase Filter Banks, Perfect Reconstruction, Linear Phase Filter Banks, Paraunitary Filter Banks, Lattice Structures, Multirate Filters, fundamental theory, applications, digital audio broadcasting, digital signal processing, accessible introduction, Decimation, Sampling Rate Conversion, FIR Filters, Sampling Rate, MULTIRATE DIGITAL SIGNAL PROCESSING
Content: MULTIRATE Digital SIGNAL PROCESSING N. J. Fliege RESUME Multirate Systems Filter Banks Wavelets Harnburg Umverslty of TechnologyGerrnany Part of the continuing growth in the applications of Digital Signal Processing, multirate digital signal processing has become an active research area of considerable Importance. The key characteristic of multirate algorithms is their high computational efficiency, and hence their increasing implementation.This new technique is now widelv employedin a range of applications from digital audio broadcasting (DAB) to multi-carrier data transmission and subband speech coding. This topical book gives a comprehensive analysis of multirate digital signal processing. Features include : A thorough introduction to the fundamental theory of multirate digital signal processing. A summary of the key properties of those filters which employ multirate techniques includings cascaded multirate filters, multirate complementary filters, and interpolated FIR filters. An assessments of the properties of various digital filter banks, such as quadratur mirror, paraunitary, biorthogonal, modulated, polyphase, and multicomplementary fiter banks. Design methodologies for multirates filters and filters banks. An examination of the discrete wavelet transform using filter banks, the construction of wavelets and examples of wavelet systems. A complete overview of current applications and a look ahead towards the future developments in this field. Convering both the fundamental theory and the pratical applications of multirate digital signal processing, this book is an accessible introduction for advanced student in electronics and Computer Science. It will also be useful for practising electronics and communications engineers and physicists working in industry. TABLE DES MATIERES
Preface
ix
1
Sampling Rate Conversion
1
1.1 Representation of Discrete SignaIs
1
1.2 Reducing the Sampling Rate
10
1.3 Increasing the Sampling Rate
27
2
FIR Filters
37
2.1 Introduction
37
2.2 Transversal Structures
38
2.3 Lattice Structures
42
2.4 Symmetry Properties and Linear Phase
47
2.5 Complementary Filters
54
2.6 Ralf-Band Filters
57
3
Design of FIR Filters
67
3.1 Design with Least Square Error
67
3.2 Design Using Window Functions
72
3.3 Design with Uniform Approximation
78
3.4 Design of Ralf-Band Filters
83
4
Decimation and Interpolation
89
4.1 Decimation with Transversal Filters
89
4.1 Decimation with Transversal Filters
89
4.2 Interpolation with Transversal Filters
91
4.3 Decimation with Polyphase Filters
93
4.4 Interpolation with Polyphase Filters
101
4.5 Decimation and Interpolation with Rational Sampling Factors
109
5
Multirate Filters
115
5.1 Filters Using Single Decimation and Interpolation
115
5.2 Filters Using Multiple Decimation and Interpolation
119
5.3 Multirate Complementary Filters
125
5.4 Interpolated FIR (IFIR) Filters
134
6
Two-Channel Filter Banks
141
6.1 Analysis and Synthesis Filter Banks
141
6.2 Quadrature Mirror Filter Banks
144
6.3 Filter Banks with Perfect Reconstruction
149
6.4 Paraunitary Filter Banks
157
6.5 Biorthogonal and Linear Phase Filter Banks
165
6.6 Transmultiplexer Filter Banks
171
7
Uniform M-Channel Filter Banks
177
7.1 Filter Banks with tree structure
177
7.2 Filter Banks with Parallel Structure
181
7.3 Complex Modulated Filter Banks
188
7.4 Cosine-Modulated Filter Banks
198
7.5 Transmultiplexer Filter Banks
204
8
Filter Banks with Polyphase Structure
209
8.1 Fundamental Polyphase Structures
209
8.2 Polyphase QMF Banks
212
8.3 General Two-Channel Polyphase Filter Banks
215
8.4 General M-Channel Polyphase Filter Banks
220
8.5 Paraunitary Polyphase Filter Banks
224
8.6 DFT Polyphase Filter Banks
227
9
Octave Filter Banks and Wavelets
239
9.1 Tree-Structured Filter Banks
239
9.2 Multicomplementary Filter Banks
243
9.3 The VVavelet Transform
251
9.4 Filter Banks and Wavelets
256
9.5 Properties of Wavelets and Scaling Functions
266
9.6 Construction of Wavelets
272
9.7 Examples of Wavelet Systems
276
9.8 Signal Sampling and Reconstruction
283
10 Applications
285
10.1 FSK Modems
285
10.2 Orthogonal Multiple Carrier (OMC) Data Transmission
287
10.3 Digital Audio Broadcasting (DAB)
289
10.4 Digital Audio Mixing Consoles
291
10.5 Asynchronous Conversion of Sampling Rates
292
10.6 Simulation of Room Acoustics Using Wavelets
293
10.7 Speech and Audio Coding
296
10.8 Image and Video Coding
298
10.9 Multirate Techniques with Sensors
299
A
List of Symbols and Acronyms
301
B
Matrices
303
C
Discrete Fourier Transform
307
D
Signal Spaces
309
E
Aliasing in MDFT-SBC Filter Banks
313
F
Crosstalk in MDFT-TMUX Filter Banks
321
F
Crosstalk in MDFT-TMUX Filter Banks
321
References
325
Index
336
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NJ Fliege

File: multirate-digital-signal-processing.pdf
Title: TS156
Author: NJ Fliege
Published: Thu May 19 17:49:49 2016
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