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Systems and methods for resolving the continuous wavelet transform of a signal

  • US 8,594,759 B2
  • Filed: 07/30/2009
  • Issued: 11/26/2013
  • Est. Priority Date: 07/30/2009
  • Status: Active Grant
First Claim
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1. A method for processing a scalogram, the method comprising:

  • receiving a signal from a signal generator;

    using processing equipment for;

    sampling the signal to generate a set of samples,generating the scalogram based at least in part on a continuous wavelet transform of the set of samples,updating the set of samples with at least one new sample of the signal to generate an updated set of samples,convolving the updated set of samples with wavelet coefficients to produce skewed scalogram samples, wherein the skewed scalogram samples are skewed in time relative to the scalogram,deskewing the skewed scalogram samples to produce scalogram update samples, wherein deskewing comprises aligning the skewed scalogram samples in time relative to the scalogram,updating the scalogram by adding the scalogram update samples to the scalogram, anddetermining information from the signal based at least in part on the updated scalogram; and

    outputting the information to an output device.

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