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Signal Computing: Digital Signals in the Software Domain

By Unknown

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Description Table of Contents Reviews

Book Description

Table of Contents

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