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Spectrum and phase
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Spectrum and phase
HILBERT TRANSFORM
A Z-transform view of Hilbert transformation
The quadrature filter
The analytic signal
Instantaneous envelope
Instantaneous frequency
SPECTRAL FACTORIZATION
The exponential of a causal is causal.
Finding a causal wavelet from a prescribed spectrum
Why the causal wavelet is minimum-phase
Pathological examples
Relation of amplitude to phase
A BUTTERWORTH-FILTER COOKBOOK
Butterworth-filter finding program
Examples of Butterworth filters
PHASE DELAY AND GROUP DELAY
Phase delay
Group delay
Group delay as a function of the FT
Observation of dispersive waves
Group delay of all-pass filters
PHASE OF A MINIMUM-PHASE FILTER
Phase of a single root
Phase of a rational filter
ROBINSON'S ENERGY-DELAY THEOREM
FILTERS IN PARALLEL
About this document ...
Stanford Exploration Project
10/21/1998
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