Limit of continuous and discrete finite-band Gerchberg iterative spectrum extrapolation.
It is known that the Gerchberg method for iteratively extrapolating the spectrum of an object of finite support has a different limit when the infinite frequency band used in the iterations is replaced by a finite one. It is shown that, for both continuous and discrete data, this limit involves an optimal extrapolation within the finite band to minimize the component of the limit that lies beyond the object support.
Byrne
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Wells
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