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It is necessary to scale the magnitude of detail (or approximation) wavelet coefficients using wavedec?

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I'm using wavedec toolbox to calculate the Wavelets coefficients in order to analyze the Energy composition of Power Systems signals. When I observed the coefficient magnitude of different detail coefficient I have noticed that this value is 1% or even less than the original signal's magnitude. I also noticed that the coefficient's magnitude depends on the vector length of the input signal. So, a doubt asalt me. It is necessary to perform some normalization of the coefficient magnitude once wavedec is applied?

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