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Article
Fast Computation of Spectral Centroids
Advances in Computational Mathematics
  • Melody L. Massar
  • Matthew Fickus
  • Erik Bryan
  • Douglas T. Petkie, Wright State University - Main Campus
  • Andrew J. Terzuoli, Jr.
Document Type
Article
Publication Date
7-1-2011
Abstract
The spectral centroid of a signal is the curve whose value at any given time is the centroid of the corresponding constant-time cross section of the signal’s spectrogram. A spectral centroid provides a noise-robust estimate of how the dominant frequency of a signal changes over time. As such, spectral centroids are an increasingly popular tool in several signal processing applications, such as speech processing. We provide a new, fast and accurate algorithm for the real-time computation of the spectral centroid of a discrete-time signal. In particular, by exploiting discrete Fourier transforms, we show how one can compute the spectral centroid of a signal without ever needing to explicitly compute the signal’s spectrogram. We then apply spectral centroids to an emerging biometrics problem: to determine a person’s heart and breath rates by measuring the Doppler shifts their body movements induce in a continuous wave radar signal. We apply our algorithm to real-world radar data, obtaining heart- and breath-rate estimates that compare well against ground truth.
DOI
10.1007/s10444-010-9167-y
Citation Information
Melody L. Massar, Matthew Fickus, Erik Bryan, Douglas T. Petkie, et al.. "Fast Computation of Spectral Centroids" Advances in Computational Mathematics Vol. 35 Iss. 1 (2011) p. 83 - 97 ISSN: 10197168
Available at: http://works.bepress.com/douglas_petkie/75/