NAG Library Manual, Mark 28.7
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NAG FL Interface Introduction
Example description

 C09FZF Example Program Results

  MLDWT :: Wavelet  : Haar      
           End mode : Period    
           M        :    4
           N        :    4
           FR       :    4

  Original data            A  : 
  Frame  1 : 
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  Frame  2 : 
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100
  Frame  3 : 
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  Frame  4 : 
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100
  1.0000   1.0000   1.0000   1.0000
  0.0100   0.0100   0.0100   0.0100

  Original data plus noise AN : 
  Frame  1 : 
  0.0135  -0.0093  -0.0004   0.0378
  1.0015   0.9842   1.0007   0.9889
 -0.0017   0.0139   0.0138  -0.0049
  0.9899   1.0070   1.0049   0.9983
  Frame  2 : 
  1.0094   1.0080   0.9921   0.9902
  0.0105  -0.0009   0.0160   0.0197
  0.9994   1.0044   0.9956   1.0014
  0.0091  -0.0084   0.0187   0.0023
  Frame  3 : 
  0.0058  -0.0053   0.0011   0.0159
  1.0113   0.9894   1.0018   0.9992
  0.0106   0.0082   0.0093   0.0153
  1.0023   1.0157   1.0084   0.9834
  Frame  4 : 
  0.9969   1.0010   0.9904   0.9968
  0.0227   0.0022   0.0062   0.0214
  0.9948   0.9981   0.9951   0.9968
  0.0121   0.0103   0.0114   0.0206

  Without denoising Mean Square Error is  0.000081

  Number of coefficients denoised is  55 out of  63

  With denoising Mean Square Error is  0.000015

  Reconstruction of denoised input D : 
  Frame  1 : 
  0.0053   0.0053   0.0166   0.0166
  1.0026   1.0026   0.9913   0.9913
  0.0055   0.0055   0.0077   0.0077
  1.0025   1.0025   1.0003   1.0003
  Frame  2 : 
  1.0026   1.0026   0.9913   0.9913
  0.0053   0.0053   0.0166   0.0166
  1.0025   1.0025   1.0003   1.0003
  0.0055   0.0055   0.0077   0.0077
  Frame  3 : 
  0.0073   0.0073   0.0110   0.0110
  1.0006   1.0006   0.9969   0.9969
  0.0078   0.0078   0.0131   0.0131
  1.0002   1.0002   0.9949   0.9949
  Frame  4 : 
  1.0006   1.0006   0.9969   0.9969
  0.0073   0.0073   0.0110   0.0110
  1.0002   1.0002   0.9949   0.9949
  0.0078   0.0078   0.0131   0.0131