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problems in filtering

Hello,

I need to do third octave band filtering, but I have problems to recover the signal properly.

Here is an example with the problem I have with the filtering. I have generated a pure tone in 50Hz exponentially decrecient and I pass it trough a butterworth filter in the third band octave of 50Hz. But I have problems to recuperate the signal properly. In fact, I find a big attenuation in the first samples of the signal, and it's very important to me the information of this samples.

I'm not sure what the problem could be and if it's possible to improve this filtering maybe with another kind of filter.

I have found an example about filtering without a phase shift. It's attached in the second place. But there is a problem
with this example when I try to change the lowpass filter with a band pass filter. Anyway, I'm not sure if it could help me with my problem.

Coul any of you help me please with any idea? Thank you very much
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Yeah ,
First sample big attenutation seems you need to use a windows function and then filtering.

Thanks,
Naresh
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