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Wavelet Transformation

  • Discrete wavelet transform (DWT) for linear signal processing, multi-resolution analysis
  • Compressed approximation: store only a small fraction of the strongest of the wavelet coefficients
  • Similar to discrete Fourier transform (DFT), but better lossy compression, localized in space
  • Method:
    • Length, L, must be an integer power of 2 (padding with 0’s, when necessary)
    • Each transform has 2 functions: smoothing, difference
    • Applies to pairs of data, resulting in two set of data of length L/2
    • Applies two functions recursively, until reaches the desired length

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