A four-parameter atomic decomposition of chirplets

  title={A four-parameter atomic decomposition of chirplets},
  author={Aykut Bultan},
A new four-parameter atomic decomposition of chirplets is developed for compact representation of signals with chirp components. The four-parameter atom is obtained by scaling the Gaussian function, and then applying the fractional Fourier transform (FRFT), timeshift and frequency-shift operators to the scaled Gaussian. The decomposition is realized by extending the matching pursuit algorithm to four parameters. For this purpose, the four-parameter space is discretized to obtain a dense subset… CONTINUE READING
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