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The transform which possesses the "multi-resolution" property is

  • A.Fourier transform
  • B.Short-time-Fourier transform
  • C.Wavelet transform
  • D.Karhunen-Loere transform

Answer: C

The wavelet transform has the multi-resolution property: it analyses a signal at different scales, using wide windows for low frequencies and narrow windows for high frequencies. The Fourier transform has no localisation in time, the short-time Fourier transform has a window of fixed size and so a fixed resolution, and the Karhunen-Loeve transform is a data dependent transform used for decorrelation. The keyed answer is the wavelet transform.

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