how does Wenergy for 1-D wavelet decomposition works?

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Francisco - 2021-01-04T13:06:44+00:00
Question: how does Wenergy for 1-D wavelet decomposition works?

Hi , i read the matlab documentation about the energy for 1-D wavelet decomposition and i want to know how the calculation works exactly??? because the Syntax used is [Ea,Ed] = wenergy(C,L) so here it use the wavelet decomposition vector c and the formula used in theory is     Which use the details and approximations coefficients . can anyone help me to understand please??  

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    • Expert Answer

    Profile picture of John Michell John Michell answered . 2025-11-20

    Hi , the Ed output gives the percentage of energy captured by the detail (wavelet) coefficients at each level, while the Ea output is the coarsest scale (final-level) scaling coefficient energy (again as a percentage).
     
     
    load noisbump;
% 4 levels here
[C,L] = wavedec(noisbump,4,'sym4');
[Ea,Ed] = wenergy(C,L);
    Ed is 1-by-4, the percent energy captured by the wavelet coefficients from the finest scale to coarsest scale.
    Ea is a scalar representing the final-scale scaling coefficient energy.


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