Estimating partial group delay

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1985
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Virginia Polytechnic Institute and State University
Abstract

Partial group delay is a spectral parameter, which measures the time lag between two time series in a system after the spurious effects of the other series in the system have been eliminated.

For weakly-stationary processes, estimators for partial group delay are proposed based on indirect and direct approaches. Conditions for weak consistency and asymptotic normality of the proposed estimators are obtained. Applications to a multiple test of partial group delay are investigated.

The time lag interpretation of partial group delay is justified, which provides insight into the nature of linear relationships among weakly-stationary processes.

Extensions are made to group delay estimation and partial group delay estimation for non-stationary "oscillatory" processes.

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