How to reconstruct the original signal using the detail coefficients in the discrete wavelet transform?

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Rasula Dias 2021-4-25

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https://ww2.mathworks.cn/matlabcentral/answers/812945-how-to-reconstruct-the-original-signal-using-the-detail-coefficients-in-the-discrete-wavelet-transfo

评论： Nikolaos Sioulas 2022-3-18

I want to reconstruct the signal usign only the detail or either the approximation coefficents. is this possible?

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Answer 1

Jonas 2021-4-25

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yes, it is possible to reconstruct using only approximation coefficients or detail coefficient. have a look into appcoeff() or detcoeff(), there are also examples in the documentation.

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Jonas 2021-4-26

编辑：Jonas 2021-4-26

the example in appcoeff explains how to approximate your original data with approximation coefficients only. The data shape you can see there (subplot(2,1,2))is pretty similar to the original one but without high frequency parts. the link is https://de.mathworks.com/help/wavelet/ref/appcoef.html#mw_cf4c8214-04a7-4ad6-9646-fb9de3ed1386

if you are unhappy with the different scale feel free to rescale

if the question was if you can reconstruct the exact original data with details/approximation only, then the answer is no

Nikolaos Sioulas 2022-3-18

@Jonas Hi I wanted to ask if you have any suggestion on how I coul reconstruct the approximations and details at all levels after using swt (undecimated discrete wavelet transform). Thanks!

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