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TUTORIAL MINIMUM PHASE FOR CONTINUOUS TIME AND DISCRETE TIME FUNCTIONS *
Author(s) -
EISNER E.
Publication year - 1984
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1984.tb01703.x
Subject(s) - property (philosophy) , time domain , imperfect , phase (matter) , discrete time and continuous time , domain (mathematical analysis) , minimum phase , realm , computer science , mathematics , mathematical analysis , physics , statistics , geography , linguistics , philosophy , epistemology , quantum mechanics , computer vision , archaeology
A bstract The concept of minimum phase is clarified for geophysicists by collecting in one place the properties of minimum phase functions. The “earliest energy arrival” property in the time domain, the “minimum phase‐slope property” in the frequency domain, and of the role of causal all‐pass filters are demonstrated. The emphasis is placed on keeping the mathematics within the realm familiar to geophysicists and on making clear the somewhat imperfect match between physical continuous time functions and their associated discrete time representations.