Generate Donoho's Toy Data Sets
This function allows to generate noisy variants of the toy signals introduced by Donoho (see reference section). The scaling is chosen to reflect the setting as discussed in the original paper.
noisyDonoho(n, fun = doppler, sigma = 1) blocks(x, scale = 3.656993) bumps(x, scale = 10.52884) doppler(x, scale = 24.22172) heavisine(x, scale = 2.356934)
n |
Number of data points that should be generated. |
fun |
Function to use to generate the data. |
sigma |
Standard deviation of the noise component. |
x |
Number of data points that should be generated. |
scale |
Scaling parameter. |
Returns a data set of type CVST.data
Tammo Krueger <tammokrueger@googlemail.com>
David L. Donoho and Jain M. Johnstone. Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81 (3) 425–455, 1994.
bumpsSet = noisyDonoho(1000, fun=bumps) plot(bumpsSet) dopplerSet = noisyDonoho(1000, fun=doppler) plot(dopplerSet)
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