Minimum-Phase Filters

This chapter discusses minimum-phase signals and filters, the minimum-phase/allpass decomposition, and hybrid minimum-phase/linear-phase audio filters. Matlab code is given for computing minimum-phase spectra from spectral magnitude only.

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Subsections

• Definition of Minimum Phase Filters
• Minimum-Phase Polynomials
• Maximum Phase Filters
  • Example
  
  
• Minimum Phase Means Fastest Decay
• Minimum-Phase/Allpass Decomposition
• Linear Phase Audio Filters
• Creating Minimum Phase

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.