Denoises a Gaussian contaminated vector using a version of the wavelet-based ``greedy tree" algorithm by Baraniuk, see the reference in the thesis.
Takes:
x | The noisy vector, its length must be a power of 2. |
filter.number | The filter number of the analysing wavelet. Can be set to 1, 2, ..., 10 for family == "DaubExPhase", or to 4, 5, ..., 10 for family == "DaubLeAsymm". |
family | The family of wavelet bases from which the wavelet filter.number is chosen. Can be set to "DaubExPhase" or "DaubLeAsymm". |
min.level | The minimum level thresholded. |
noise.level | Standard deviation of the noise, can be set to a positive number or NULL; in the latter case it will be estimated using MAD. |
Returns:
est | Denoised version of x. |