Affiliation:
1. Brunei Shell Petroleum, State of Brunei, Borneo
Abstract
Apart from a visual inspection, the length property of a signal is mostly judged by its amplitude spectrum (e.g., bandwidth or “roughness” of the spectrum). However, due to the important influence of the phase spectrum. a sensible yardstick for signal length should consider both amplitude and phase. In addition, a complete investigation should also include evaluation of the length of the (partly) deconvolved signal. In this paper, signal duration and signal length are introduced as two different concepts. Unlike signal duration, giving the minimum time interval outside of which the signal equals zero, signal length gives some information as to how the signal energy is distributed within this interval. An objective yardstick for signal length is proposed, and it is shown how signal length depends on both the amplitude and phase spectrum. The minimum‐length signal is introduced and it is shown that for one‐sided signals the minimum signal‐length property implies the minimum‐phase property and vice‐versa. The efficiency of causal least‐square inverse filtering on minimum‐length and nonminimum‐length signals is evaluated. An investigation scheme is given which enables the user to determine whether a one‐sided signal has the minimum‐length (minimum‐phase) property. The theory is applicable to complex signals. For real signals the * (symbol for complex conjugate) and absolute value marks may be omitted: [Formula: see text] and [Formula: see text].
Publisher
Society of Exploration Geophysicists
Subject
Geochemistry and Petrology,Geophysics
Cited by
19 articles.
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