NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Introduction to Digital Filters with Audio Applications", by Julius O. Smith III, Copyright © 2017-11-26 by Julius O. Smith III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
- 00. Table Of Content
- 01. Positive Real Functions
- 02. Relation to Stochastic Processes
- 03. Relation to Schur Functions
- 04. Relation to functions positive real in the right-half plane
- 05. Special cases and examples
- 06. Minimum Phase (MP) polynomials in Z
- 07. Conjectured Properties
- 08. Introduction to Digital Filter Theory
- 09. Linearity and Time-Invariance
- 10. Difference Equation
- 11. Convolution Representation
- 12. Frequency Response
- 13. Phase Delay and Group Delay
- 14. Vector Space Concepts
- 15. Specific Norms
- 16. Concavity (Convexity)
- 17. Concave Norms
- 18. Gradient Descent
- 19. Taylor's Theorem
- 20. Newton's Method
- 21. Maxims of Signal Processing
- 22. Index
- 23. Bibliography
- 24. About this document
- 25. Footnotes