Abstract
Due to experimental constraints, geophysical observations take place within a finite time interval. In this chapter, therefore, we will investigate the effects of such limitations on the analysis of deterministic nonperiodic processes of infinite length. The limitation to a finite time interval T can be simulated by multiplication of an infinitely long signal s(t) by a window or weighting function that is equal to 1 within the interval T and zero outside this interval. This rectangular function, also called the boxcar function, is defined as follows:
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© 2000 Springer-Verlag Berlin Heidelberg
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Buttkus, B. (2000). Spectral Analysis of Time-Limited Observations of Infinitely Long Processes. In: Spectral Analysis and Filter Theory in Applied Geophysics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57016-2_5
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DOI: https://doi.org/10.1007/978-3-642-57016-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62943-3
Online ISBN: 978-3-642-57016-2
eBook Packages: Springer Book Archive