Signal Computing: Digital Signals in the Software Domain
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Description
Contents
Reviews
Language
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ISBN
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Preface
Objectives
Prerequisites
About This Book
Typographical Conventions
Further Reading
Signals in the Physical World
Multimedia and Sensation
Sensation and Perception
Computer Video Displays
Multimedia System Operation
Vibrations and Sound
Phasors
Spectra
Interlude: Vectors
Derivation of the Fourier Series
Problems
Further Reading
Signals in the Computer
From the physical to the digital
Measuring Noise
Sampling
Aliasing
Quantization
Dynamic Range
Periodic and Aperiodic Signals
Problems
Further Reading
Filtering and Feedforward Filters
Introduction
Feedforward Filters
Delaying a phasor
A simple feedforward filter
Digital Filters
Delay as an Operator
The z-plane
Phase Response
Implementing Digital Filters
Problems
Further Reading
The Z-Transform and Convolution
Domains
The z-transform
Example: z-transform of an impulse
Example: z-transform of exponential signal
Convolution
Example of Convolution
Implementing Convolution
Properties of the Z-Transform
Example: Time Shifting
Example: Convolution
Impulse Response and the Transfer Function
Problems
Further Reading
Feedback Filters
Introduction
Poles
Example: Computing Transfer Function and Impulse Response
Stability
Resonance and Bandwidth
Mixing Feedback and Feedforward Filters
Implementation
Avoiding Complex Numbers
Limitations of Numerical Accuracy
Problems
Further Reading
Spectral Analysis
The Fourier Transform
Example: Fourier transform of a rectangular pulse
The Discrete Fourier Transform
Derivation of the IDFT [Optional]
Finite vs. Infinite Signals
Properties of the DFT
Computing the DFT Directly
The Fast Fourier Transform Algorithm
The inverse DFT
Example: Sum of Two Sinusoids
Power Leakage [Optional]
Tradeoff Between Time and Frequency Resolution [Optional]
Windowing [Optional]
Problems
Further Reading
Compression
Signals and Information
Entropy (Lossless) Compression
Repetitive Sequence Compression
Statistical Compression
Source (Lossy) Compression
Differential Compression
Transform Compression
Problems
Further Reading
Audio & Video Compression and Coding
Issues in Coding Method Selection
Audio Coding Standards
Speech Coding for Telephony
High-Quality Audio Coding
Still Image Coding Standards
JPEG
Video Coding Standards
MPEG Coding
Problems
Further Reading
Review and Conclusions
A Generic Digital Multimedia System
Compact Discs
Data Encoding
CD System Signal Processing
Conclusion
Further Reading
Answers to Self-Test Exercises
Chapter 1: Signals in the Physical World
Chapter 2: Signals in the Computer
Chapter 3: Filtering and Feedforward Filters
Chapter 4: The Z-Transform and Convolution
Chapter 5: Feedback Filters
Chapter 6: Spectral Analysis
Chapter 7: Compression
Chapter 8: Audio & Video Compression and Coding
Chapter 9: Review and Conclusions
Index
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