Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Delay Time Estimation Using Hilbert Transform and New Extrapolation Procedure
Yosuke TSUCHIYAYasushi MIKI
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2004 Volume 40 Issue 10 Pages 988-993

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Abstract
We present a new method for estimating the delay time of a minimum-phase system with delay. It is based on the Hilbert transform relationship between the log magnitude and the phase of a minimum-phase system. An extrapolation procedure for the frequency characteristics is required to describe a discrete causal system which corresponds to the actual continuous system. The algorithm for the extrapolation is improved to stabilize the frequency characteristics, and further, bi-directional extrapolation procedure is presented.
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