Downsampling after wavelet denoising

I am working on a time series which is sampled once every 10 minutes. I
found by inspection of the auto correlation function that the detail
coefficients indicates pure noise for more than 7 levels of wavelet (db10)
decomposition. So, I did 8 levels of wavelet decomposition and then set the
8 level detail coeff. to zero. I carried out the inverse transform, and now
I wonder how much I can downsample the series without loosing information?

Thanks


.

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