Elements of wavelets for engineers and scientists
| Main Author: | |
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| Corporate Author: | |
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ:
Wiley-Interscience,
c2003
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| Subjects: | |
| Online Access: | http://login.proxy.eap.gr/login?url=http://dx.doi.org/10.1002/0471668885 |
Table of Contents:
- Cover
- Contents
- Preface
- 1. Functions and Transforms
- 1.1 Wavelet Transform
- 1.2 Transforms
- 1.3 Power and Energy Signals
- 1.4 Deterministic and Random Signals
- 1.5 Fourier and Haar Transforms
- 2. Vectors
- 2.1 Vector Space
- 2.2 Metric Space
- 2.3 Norm
- 2.4 Inner Product
- 2.5 Orthogonality
- 3. Basis and Dimension
- 3.1 Linear Independence
- 3.2 Basis
- 3.3 Dimension and Span
- 3.4 Reciprocal Bases
- 4. Linear Transformations
- 4.1 Component Vectors
- 4.2 Matrices
- 5. Sampling Theorem
- 5.1 Nyquist Rate
- 5.2 Nonperiodic Sampling
- 5.3 Quantization and Pulse Code Modulation
- 5.4 Companding
- 6. Multirate Processing
- 6.1 Downsampling
- 6.2 Upsampling
- 6.3 Fractional Rate Change
- 6.4 Downsampling and Correlation
- 6.5 Upsampling and Convolution
- 7. Fast Fourier Transform
- 7.1 Discrete-Time Fourier Series
- 7.2 Matrix Decomposition View
- 7.3 Signal Flow Graph Representation
- 7.4 Downsampling View
- 8. Wavelet Transform
- 8.1 Scaling Functions and Wavelets
- 8.2 Discrete Wavelet Transform
- 9. Quadrature Mirror Filters
- 9.1 Allpass Networks
- 9.2 Quadrature Mirror Filters
- 9.3 Filter Banks
- 10. Practical Wavelets and Filters
- 10.1 Practical Wavelets
- 10.2 The Magic Part
- 10.3 Other Wavelets
- 10.4 Matrix of Transformation