Processing of Multidimensional Signals / Edition 1

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Multidimensional or spatio-temporal signals are important in image processing and television. This book presents the mathematical methods for processing multidimensional signals. It describes applications in system analysis, measurement and optimization and signal restoration, with varying examples of applications.

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Product Details

  • ISBN-13: 9783540654490
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/14/1999
  • Series: Digital Signal Processing Series
  • Edition description: 1999
  • Edition number: 1
  • Pages: 273
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.69 (d)

Table of Contents

Introduction 1
1 Analog, Discrete and Digital Signals 13
1.1 Primary Analog Signal and Its Harmonic Spectrum 13
1.2 Images and Temporal Signals 28
1.3 Discrete and Digital Signals 39
1.4 Digital Signals in Computers 50
1.5 Accuracy of Mathematical Models of Signals 58
2 Spatio-Temporal Filtration 63
2.1 Deterministic and Stochastic Component of Signal Transformation 63
2.2 Linear Filters 76
2.3 Non-linear Filters 86
2.4 Spatio-temporal Noises 92
2.5 Digital Filtration 98
2.6 Signal Restoration 116
2.7 Accuracy of Mathematical Models of Signal Transformations 122
3 Discretization and Scanning 125
3.1 Signal Transmission and Signal Storage 125
3.2 Discretization and Distortions of Discrete Signals 134
3.3 Scanning for Reading and Writing 141
3.4 Trajectories of Two-Dimensional Scanning 153
3.5 System of Alive Image Transmission 163
4 Imaging System Quality Assessment 171
4.1 Philosophy of Quality Assessment 171
4.2 Measures of Quality 179
4.3 Criteria of Quality 185
4.4 Optical Imaging System Optimization 192
4.5 Spatial Resolution and Resolving Power 199
4.6 Accuracy of System Optimization 210
5 Modulated Signals 213
5.1 Modulation and Demodulation of Signals 213
5.2 Polychromatic Modulated Signals 221
5.3 Amplitude, Frequency, Phase and Polarization Modulation 229
5.4 Pulse Modulation 237
5.5 Concluding Remarks 243
App. A On Fundamental Notions of Probability Theory 253
App. B On Applications of computers in Visual Art 257
References 267
Index 269
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