Signal Processing Asked by AMEER on January 14, 2021
I’m looking for analytical justification of linearity or non linearity of the wavelet transform with the real Haar mother wavelet function.
I have googling already. But I can’t find and understand the meaning
Linearity can play at different levels:
Answered by Laurent Duval on January 14, 2021
The wavelet function is preset and continuous signal defined in a time interval from 0 to N-1. The characteristics of this function is to be continuous (defined in any point). Important to remember that the function is applied with the convolution to your signal.
Then, the concept of linearity refers to, by definition, means that the output follows a linear trend with respect to the input (y=m*x+n).
Conclussion, wavelets functions are by definition continuous in time but not linear.
G.
Answered by Gabriel Galeote-Checa on January 14, 2021
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