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Instead of the spline interpolation we fitted a 2nd degree polynomial model with a window length p to the artefact segments (by the Matlab function smooth with option 'loess'), and then subtracted the fit from the artefact.
bicubic interpolation provided by the matlab function to obtain.
The test images (downloaded at http://sipi.usc.edu/database/database.php?volume=misc) in experiments with size 1024 × 1024 are transformed into gray images, and data type are doubled by the MATLAB function "im2double" so as to be sparsely represented by discrete wavelet transform (Fig. 1) [22].
To this purpose we use the Dulmage-Mendelsohn decomposition performed by the matlab function dmperm.
Minimization of the E0 or E1 criteria was done by the Matlab function fmincon.
The actual computation of the regression spline from a knot sequence is carried out by the Matlab function spap2.
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While this example is easily done by hand, the matlab function tf2ss can be used more generally (''transfer function to state space" conversion).
Considering the omnidirectional antenna, we solved the linear optimization problem without optimization bounds in the well-defined least square sense by using the Matlab function m l d i v i d e, similar as the LIvE method for the omnidirectional Tx case.
In this case the integrals are computed by means of the Matlab function quad.
k-means classification was performed using the Matlab function kmeans using 50 replicates; spectral clustering with the function SpectralClustering from Matlab file exchange; hierarchical clustering with the Matlab function clustergram with linkage method ward.
Phase (in radians) was then calculated with the Matlab function angle.
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