A translation- and scale-invariant adaptive wavelet transform

@article{Xiong2000ATA,
  title={A translation- and scale-invariant adaptive wavelet transform},
  author={Huilin Xiong and Tianxu Zhang and Yiu Sang Moon},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={2000},
  volume={9 12},
  pages={
          2100-8
        }
}
  • Huilin Xiong, Tianxu Zhang, Y. Moon
  • Published 1 December 2000
  • Computer Science
  • IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
This paper presents a new approach to deal with the translation- and scale-invariant problem of the discrete wavelet transform (DWT). Using a signal-dependent filter, whose impulse response is calculated by the first two moments of the original signal and a scale function of an orthonormal wavelet, we adaptively renormalized a signal. The renormalized signal is then decomposed by using the algorithm of the conventional DWT. The final wavelet transform coefficients, called adaptive wavelet… 
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