Scale and location parameters of the 1D wavelet decomposition using wavedec

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Sara Alonso Vicario
Sara Alonso Vicario le 24 Mar 2021
Hello!
I am using wavedec function to decompose a streamflow time series into frequencies.
My idea is use the dyadic scale for the DWT where the constant dilation step is 2 and the location parameter is 1. My question is: how is it possible to apply the dyadic scale using the wavedec function? I understand that it is already apply in the algorithm of the wavedec function. Am I correct?
and my other question is: how is it possible to know the scale and the translation parameters used in the decomposition?
From the material of matlab. I understand that the DWT follows the following equation:
"This means that at scale, 2j, you always translate by 2jm where m is a nonnegative integer." (https://es.mathworks.com/help/wavelet/gs/continuous-and-discrete-wavelet-transforms.html)
How is possible to know then the value of j and m apply in each decomposition level?
Thank you,
Sara

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