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Table of Contents

• I. Foreword
• II Mathematical Analysis
• III. DSP Theory
• IV. DSP Sub-fields
• V. DSP Techniques
• VI. Sampling
• VII. Statistical Signal Processing
• VIII. Image processing
• IX. Control engineering
• X. DSP Architecture

I. Foreword

• About Signal Processing
• About Digital signal processing

II. Mathematical Analysis

• Fourier analysis
  • S plane
• Fourier series
• Fourier transform
• Fast Fourier transform
  • Bluestein's FFT algorithm
  • Bruun's FFT algorithm
  • Cooley-Tukey FFT algorithm
  • Prime-factor FFT algorithm
  • Rader's FFT algorithm
• Gibbs phenomenon
• Impulse response
  • Impulse invariance
  • Infinite impulse response
• Laplace transform
• Two-sided Laplace transform
• Transfer function
• Dirac comb
• Dirac delta function
• Sinc function
• Goertzel algorithm
• Abel transform
• Spline interpolation
• Stochastic differential equation

III. DSP Theory

• Nyquist-Shannon sampling theorem
• Whittaker-Shannon interpolation formula
• Estimation theory
• Detection theory
• LTI system theory

IV. DSP Sub-fields

• Audio signal processing
• Digital image processing
• Speech processing
  • Speech recognition
  • Speech synthesis
• Statistical signal processing
• Image processing
• Control engineering

V. DSP Techniques

• Discrete Fourier transform (DFT)
  • A derivation of the discrete Fourier transform
  • Discrete-time Fourier transform (DTFT)
• Bilinear transform
• Z-transform
• Aadvanced Z-transform
• Discrete cosine transform
• Modified discrete cosine transform

VI. Sampling

• Sampling
  • Sampling rate
  • Downsampling
  • Upsampling
  • Oversampling
• Digital frequency
• Quantization
  • Quantization noise
  • Signal-to-noise ratio
• Companding
  • A-law algorithm
  • μ-law algorithm
• Signal reconstruction
• Aliasing
  • Anti-aliasing
  • Anti-aliasing filter
  • Sinc filter
• Reconstruction filter
• Negative frequency

VII. Statistical Signal Processing

• Bayes theorem
• Bayes estimator
• Recursive Bayesian estimation
• Wiener filter
• Kalman filter
• Fast Kalman filter
• Adaptive filter
• Finite impulse response
• Statistical classification
• Hidden Markov models

VIII. Image processing

• Principal components analysis
• Independent component analysis
• Self-organizing maps
• Neural networks
• Computer vision
• Affine shape adaptation
• Blob detection
• Lanczos resampling
• Tomographic reconstruction

IX. Control engineering

• Adaptive control
• Building Automation
• Control reconfiguration
• Feedback
• H infinity
• Intelligent control
• Laplace transform
• Model predictive control
• Non-linear control
• Optimal control
• Process control
• Quantitative feedback theory
• Robotic unicycle
• Robust control
• Servomechanism
• State space
• VisSim

X. DSP Architecture

• Digital signal processor
• von Neumann architectur

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