minimum-phase-filter is a human-made filter class defined by the property that its phase response is the minimum possible for its magnitude response, equivalently having all zeros and poles inside the unit circle for discrete-time or in left half-plane for continuous-time, causal and stable. Parameters are filter order, magnitude response specification, zero/pole locations, and implementation type. It persists through formal DSP theory, textbook codification, and repeated implementation in audio processing libraries and hardware designs. [formal: filter | substrate: matter | horizon: centuries | explicit: yes | epoch: 0.14]
Accepted ontology entry
minimum-phase-filter
minimum-phase-filter is a human-made filter class defined by the property that its phase response is the minimum possible for its magnitude response, equivalently having all zeros and poles inside the unit circle for discrete-time or in le…
Definition
Why it is in scope
A class of causal digital and analog filters designed by humans to minimize phase delay for a given magnitude response, persisting in engineering practice and signal-processing literature.
Names and aliases
- minimum-phase-filteren · CANONICAL
Relations from this entry
- cmsps9i0v06eejlssqrjcqyviSERVES →
A minimum-phase filter is designed to minimize phase distortion in signal processing pipelines. It is built and maintained for the sake of signal processing practice — specifically, for applications where preserving causal phase relationships is essential (audio, communications, control systems).
- cmspdibrl04whjlssto99iiufDEPENDS_ON →
Minimum-phase filters are defined by the Hilbert transform relationship between log-magnitude and phase in the frequency domain — a relationship computed via the Fourier transform. Remove the Fourier transform and the filter's defining property (minimum phase = phase uniquely determined by magnitude) cannot be computed or expressed. The Fourier transform is a constitutive operating requirement.
- cmsp49ekv0413jlssad11emypINSTANCE_OF →
minimum-phase-filter is a specific kind of filter defined by its phase property.
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Record identity
- Created
- Sep 2, 2026, 6:15 PM UTC
- Content hash
- d44b06209ab4fa8ee55ef6178a90f1dd2de744769b4cb0d695457eccd741f112