Digital Signal Processing
With the explosion of digital communications and digital media, the need for methods to process digital data is more important than ever. This book will begin with a look at the mathematical concepts behind digital processing, then will build on that with particular algorithms to do the work, and finally will present the actual implementations of these techniques in today's hardware and software systems. Many real-world algorithms are based on the techniques described in this book. JPEG images, MP3 songs, MPEG-2 videos, and ZIP files are all processed using digital processing techniques, and all of them will be discussed, at least conceptually. This book will not teach programming, and will probably not even provide much in the way of actual code, so we don't need to worry much about computer language dependence, except where otherwise noted. For some solid background information on the various mathematical theories in this book, consider reading Signals and Systems.
This book is in a very early stage of production, and many of the pages either don't exist or only exist as bare stubs. Help and contributions from all wikibookians will be very much appreciated!
Table of Contents
[edit | edit source]Digital Signals
[edit | edit source]Transforms
[edit | edit source]- Continuous-Time Fourier Transform (CTFT)
- Discrete-Time Fourier Transform (DTFT)
- Discrete Fourier Transform (DFT)
- Fourier Series Expansion (FSE)
- Z Transform
- Hilbert Transform
- Fast Fourier Transform (FFT) Algorithm
Digital Filters
[edit | edit source]- Digital Filters
- FIR Filter Design
- IIR Filter Design
- Filter Representation
- Tunable Filters
- Infinite Input Filtering
- Computer-aided Filter Design
- Ideal Filters
- Least Squares Design
Analog Filter Modeling
[edit | edit source]Digital Processing
[edit | edit source]Filter Implementation
[edit | edit source]- Filter Verification
- Implementability
Modulation
[edit | edit source]- Phase Modulation
- Sigma-Delta modulation
Noise and Errors
[edit | edit source]- Finite wordlength effects
- Clipping
- Quantization Effects
- Roundoff errors
- Limit Cycles
- Discrete Stochastic Process
channel of noises
Multirate Systems
[edit | edit source]- Upsampling and Downsampling
- Multirate Filters
- Decimation and Interpolation
- Polyphase decomposition
Advanced Filters
[edit | edit source]- Dynamic Range Scaling
- Filter Sensitivity
Spectral Analysis
[edit | edit source]- Classical
- nonparametric
- Parametric
- Linear Prediction
Adaptive filters
[edit | edit source]- Wiener Filters
- Normal Equations
- Kalman Filtering