The Double-Density Dual-Tree Discrete Wavelet Transform

  title={The Double-Density Dual-Tree Discrete Wavelet Transform},
  author={Ivan W. Selesnick},
This paper introduces the double-density dual-tree DWT, a discrete wavelet transform that combines the double-density DWT and the dual-tree DWT, each of which has its own characteristics and advantages. The transform corresponds to a new family of dyadic wavelet tight frames based on two scaling functions and four distinct wavelets, ψh,i(t) and ψg,i(t), i = 1, 2. The two wavelets ψh,1(t) and ψh,2(t) are off-set from one another by one half, ψh,1(t) ≈ ψh,2(t− 0.5) and ψg,i(t) likewise. Therefore… CONTINUE READING
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