Fundamentals of Signal Processing by Minh N. Do - HTML preview
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Fundamentals of Signal Processing
Table of Contents
- Introduction to Fundamentals of Signal Processing
- Chapter 1. Foundations
- 1.1. Signals Represent Information
- 1.2. Introduction to Systems
- 1.3. Discrete-Time Signals and Systems
- 1.4. Linear Time-Invariant Systems
- 1.5. Discrete Time Convolution
- 1.6. Review of Linear Algebra
- Fields
- Vector Spaces
- Euclidean Space
- Subspaces
- Linear Independence
- Spanning Sets
- Bases
- Dimension
- Direct Sums
- Norms
- Inner products
- Triangle Inequality
- Cauchy-Schwarz Inequality
- Orthogonality
- Orthonormal Bases
- Expansion Coefficients
- Gram-Schmidt
- Orthogonal Compliments
- Linear Transformations
- Image
- Nullspace
- Rank
- Nullity
- Rank plus nullity theorem
- Matrices
- Column span
- Duality
- Inverses
- 1.7. Hilbert Spaces
- 1.8. Signal Expansions
- 1.9. Introduction to Fourier Analysis
- 1.10. Continuous Time Fourier Transform (CTFT)
- 1.11. Discrete Time Fourier Transform (DTFT)
- 1.12. DFT as a Matrix Operation
- 1.13. The FFT Algorithm
- Chapter 2. Sampling and Frequency Analysis
- 2.1. Introduction
- 2.2. Proof
- 2.3. Illustrations
- 2.4. Sampling and Reconstruction with Matlab
- 2.5. Systems View of Sampling and Reconstruction
- 2.6. Sampling CT Signals: A Frequency Domain Perspective
- 2.7. The DFT: Frequency Domain with a Computer Analysis
- 2.8. Discrete-Time Processing of CT Signals
- 2.9. Short Time Fourier Transform
- 2.10. Spectrograms
- 2.11. Filtering with the DFT
- 2.12. Image Restoration Basics
- Chapter 3. Digital Filtering
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