00. Table Of Content

NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Introduction to Digital Filters with Audio Applications", by Julius O. Smith III, Copyright © 2017-11-26 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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Table Of Content

• Positive Real Functions
  • Relation to Stochastic Processes
  • Relation to Schur Functions
  • Relation to functions positive real in the right-half plane
  • Special cases and examples
    • Minimum Phase (MP) polynomials in
  • Conjectured Properties
• Introduction to Digital Filter Theory
  • Linearity and Time-Invariance
  • Difference Equation
    • Convolution Representation
  • Frequency Response
  • Phase Delay and Group Delay
• Vector Space Concepts
  • Specific Norms
• Concavity (Convexity)
  • Concave Norms
• Gradient Descent
• Taylor's Theorem
• Newton's Method
• Maxims of Signal Processing
• Index
• Bibliography
• About this document ...

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