Performs the inverse of the Wavelet transform based on the Daubechies4 function. Details
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X is the samples of the input signal. The length of the signal has to be a power of 2, otherwise an error code is given. |
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Wavelet Daubechies4 Inv {X} returns the calculated inverse wavelet Daubechies4 transform. |
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error returns any error or warning from the VI. Refer to Signal Processing Error Codes for more information about these conditions. |
The Wavelet Transform Daubechies4 Inverse transform can be defined with the help of the transformation matrix
.
Here blank entries signify zeroes. The numbers have to fulfill certain orthogonal properties, namely
with the unique solution
.
The inverse Wavelet Daubechies4 transform of the array X is defined by
.
It is
.
Refer to the definition of the Wavelet Transform Daubechies4 VI for more information about the Wavelet Transform Daubechies4 transform.
The following diagram shows the Wavelet Transform Daubechies4 Inverse of a function with two spikes at the points 13 and 69. The signal length is 1024.