An efficient high-resolution time-frequency representation

D. J. Nelson, D. C. Smith

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We address the problem of efficient resolution, detection and estimation of weak tones in a potentially massive amount of data. Our goal is to produce a relatively small reduced data set characterizing the signals in the environment in time and frequency. The requirements for this problem are that the process must be computationally efficient, high gain and able to resolve signals and efficiently compress the signal information into a form that may be easily displayed and further processed. We base our process on the cross spectral representation we have previously applied to other problems. In selecting this method, we have considered other representations and estimation methods such as the Wigner distribution and Welch's method. We compare our method to these methods. The spectral estimation method we propose is a variation of Welch's method and the cross-power spectral (CPS) estimator which was first applied to signal estimation and detection in the mid 1980's. The CPS algorithm and the method we present here are based on the principles first described by Kodera et al. now frequently called the reassignment principle.

Original languageEnglish
Title of host publicationAdvanced Signal Processing Algorithms, Architectures, and Implementations XVI
StatePublished - 2006
Externally publishedYes
EventAdvanced Signal Processing Algorithms, Architectures, and Implementations XVI - San Diego, CA, United States
Duration: Aug 15 2006Aug 16 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceAdvanced Signal Processing Algorithms, Architectures, and Implementations XVI
Country/TerritoryUnited States
CitySan Diego, CA


  • Signal detection
  • Signal estimation
  • Time-frequency representations
  • Transient signals


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