Wavelet

From Fourier (k space) to wavelet domain in MRI sensing

From Fourier (k space) to wavelet domain in MRI sensing
  1. What does wavelet function offer different from Fourier orthogonal functions?
  2. Is wavelet transform in frequency domain?

What does wavelet function offer different from Fourier orthogonal functions?

While the Fourier transform creates a representation of the signal in the frequency domain, the wavelet transform creates a representation of the signal in both the time and frequency domain, thereby allowing efficient access of localized information about the signal.

Is wavelet transform in frequency domain?

The continuous wavelet transform (CWT) is a time-frequency transform, which is ideal for analyzing nonstationary signals. A signal being nonstationary means that its frequency-domain representation changes over time.

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