Digital Signal Processing: A User's Guide by Douglas L. Jones. - HTML preview
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Digital Signal Processing: A User's Guide
Table of Contents
- Preface for Digital Signal Processing: A User's Guide
- Chapter 1. Background, Review, and Reference
- 1.1. Discrete-Time Signals and Systems
- 1.2. Systems in the Time-Domain
- 1.3. Discrete Time Convolution
- 1.4. 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
- 1.5. Orthonormal Basis Expansions
- 1.6. Introduction to Fourier Analysis
- 1.7. Continuous Time Fourier Transform (CTFT)
- 1.8. Discrete-Time Fourier Transform (DTFT)
- 1.9. DFT as a Matrix Operation
- 1.10. Sampling theory
- 1.11. Z-Transform
- 1.12. Random Signals and Processes
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