Signal Computing: Digital Signals in the Software Domain
Free

Signal Computing: Digital Signals in the Software Domain

By Unknown
Free
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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
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