Generates specific functions (Jump, Up-down, Sine, Freq. sine and Doppler). If all entries of sel are zero then you can choose interactively the function otherwise the selected function will be generated.
Enforces a specific view of the wavelet mother coefficients (Standard, Ordered, Circle and Partial sum). If none is selected then the old view will be returned.
Hardthresholds the mother wavelet coefficients b1 and b2 interactively. The user is a threshold offered by sqrt(2 sigma n). To compute the threshold value only b1 and x is used.
Softthresholds the mother wavelet coefficients b1 and b2 interactively. The user is a threshold offered by sqrt(2 sigma n). To compute the threshold value only b1 and x is used.
Shows the functions approximation by wavelets. You can choose between different wavelet base, different number of father wavelet coefficients, different functions and different views to the mother wavelet coefficients.
Compares the data compression of wavelets with fourier basis. You can choose between different wavelet base, different number of father wavelet coefficients, different functions and different views to the mother wavelet coefficients.
Compares the approximation of sines with different frequencies by wavelets. You can choose between different wavelet base, different number of father wavelet coefficients and different views to the mother wavelet coefficients.
Shows the approximation of a sine function which changes its frequency. You can choose between different wavelet base, different number of father wavelet coefficients and different views to the mother wavelet coefficients.
Shows how a hard threshold behaves on the true function and the true function plus noise. You can choose between different wavelet base, different number of father wavelet coefficients, different functions different views to the mother wavelet coefficients, hard threshold by hand and automatically.
Shows how a soft threshold behaves on the true function and the true function plus noise. You can choose between different wavelet base, different number of father wavelet coefficients, different functions different views to the mother wavelet coefficients, soft threshold by hand and automatically.
Shows how a hard threshold behaves on an image and an image plus noise. You can choose between different wavelet base, different number of father wavelet coefficients and different views to the mother wavelet coefficients.
Shows the mother wavelet for a given basis. In the picture of the first row the function is shown. Below, in the second row, the mother wavelet coefficients are shown. For each level in a horizontal line are vertical lines plotted. The length of the vertical line depends on the size of the wavelet
Shows the mother wavelet for a given basis. In the picture of the first row the function is shown. Below, in the second row, the coeffients are drawn as circles in one line for each level. The absolute size is indicated by the radius of the circle. If the circle is red the coefficient is used in th
Shows the mother wavelet for a given basis. In the picture of the first row the function is shown. Below, in the second row, the coeffients are drawn as vertical lines. All coefficients are ordered by absolute size. Just one quarter of all coefficients is drawn.
Shows the mother wavelet for a given basis. In the picture of the first row the function is shown. Below, in the second row, we see as lowest function the approximation with only using the father wavelet coefficients. Then we add the first level of mother wavelet coefficients to the approximation,
Shows the wavelet coefficients for a given basis. In the picture of the first row the bivariate image is shown. Below, in the second row, we see the 32 absolute largest father/mother coeffients ordered by size.