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Summary: TIME DELAY ESTIMATION AND SIGNAL RECONSTRUCTION USING
MULTIRATE MEASUREMENTS
Omid Jahromi and Parham Aarabi
Artificial Perception Laboratory,
Department of Electrical and Computer Engineering, University of Toronto
Toronto, ON, Canada, M5S 3G4
Email: omidj@control.toronto.edu, parham@ecf.toronto.edu
ABSTRACT
This paper considers the problem of fusing two lowrate
sensors (e.g., microphones) for reconstructing one high
resolution signal when time delay of arrival (TDOA) is
present as well. We show that under certain condi
tions the phase of the crossspectrumdensity of low
rate measurements becomes independent of the signal
in the highrate front end of the system. We then uti
lize this fact to demonstrate that it is possible to extend
a class of TDOA estimation techniques known as the
generalized cross correlation technique to linearphase
multirate sensor systems. Finally, we illustrate how
the combination of the theory of linearphase multi
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