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In geophysics, the usual definition for the Z-transform is a power series in 
as opposed to 
. This convention is used by Robinson and Treitel and by Kanasewich.[ citation needed ] The geophysical definition is
The two definitions are equivalent; however, the difference results in a number of changes. For example, the location of zeros and poles move from inside the unit circle using one definition, to outside the unit circle using the other definition. Thus, care is required to note which definition is being used by a particular author.
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| Unilateral Z-transform | | | Inverse Z-transform |