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The transform which posses ‘multi-resolution’ property is

  1. Fourier transform
  2. Short-time Fourier transform
  3. Wavelet transform
  4. Karhunen-Loere transform
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Answer : wavelet transform

A multi-resolution analysis (MRA) or multi-scale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT).

Reference : Wikipedia

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