Abstract

This paper considers the application of signal processing methods to passive indoor positioning with acoustics microphones. The key aspect of this problem is time-delay estimation (TDE) that is used to get the time difference of arrival of the source’s signal between the pair of distributed microphones. This paper studies the approach based on generalized phase spectrum (GPS) TDE methods. These methods use frequency-domain information about the received signals that make them different from widely applied generalized cross-correlation (GCC) methods. Despite the more challenging implementation, GPS TDE methods can be less demanding on computational resources and memory than conventional GCC ones. We propose an algorithmic implementation of a GPS estimator and study the various frequency weighting options in applications to TDE in a small room acoustic environment. The study shows that the GPS method is a reliable option for small acoustically dead rooms and could be effectively applied in presence of moderate in-band noises. However, GPS estimators are far less efficient in less acoustically dead environments, where other TDE options should be considered. The distinguishing feature of the proposed solution is the ability to get the time delay using a limited number of the adjusted bins. The solution could be useful for passively locating moving emitters of narrow-band continual noises using computationally simple frequency detection algorithms.

Highlights

  • Efficient implementation requires unwrapped phase spectrum estimation and time lag extraction which can be performed in various ways. This applies some limitations on using well-described generalized phase spectrum (GPS) time-delay estimation (TDE) algorithms [14] for different practical tasks

  • This study investigated GPS TDE in relation to the problem of localizing a sound source in a small room

  • The suggested TDE algorithm is based on the analysis of the phase response form which makes it possible to estimate the time by analyzing an arbitrary set of spectral bins

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Summary

Introduction with regard to jurisdictional claims in

The problem of time-delay estimation (TDE) is to measure the difference in the time of arrival of signals recorded by space-separated sensors. This task is relevant for many applications, including those which are related to signal source localization [1]. Even though the frequency-domain TDE technique was originally proposed by Piersol [16] and developed by Zhen and Zi-Quang [15] back in the 1980s, studies devoted to its applications are relatively rare. Efficient implementation requires unwrapped phase spectrum estimation and time lag extraction which can be performed in various ways This applies some limitations on using well-described GPS TDE algorithms [14] for different practical tasks. In [17], a hardware implementation of an indoor positioning system based on the phase correlation TDE algorithm was proposed, only substitutional research was carried out within the framework of the signal processing

Materials and Methods
Ideal Propagation Model
Reverberation Model
Basic Phase Shift TDE
Generalized Phase Spectrum TDE
Method
Results and Discussion
Experimental Setting
Simulation of the Small Room Environment
Comparison of GPS TDE Methods in Anechoic Environment
Comparison of GPS TDE Methods in Reverberant Environment
Conclusions
Full Text
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