QGIS--computing local standard deviation (from many bands) to each cell

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I have HDF images with 365 bands each. Is there a way to compute local standard deviation across all of these bands with results appearing in each cell?

I have tried Zonal Statistics (with polygons converted from each raster cell as the input vector layer) but it does not appear to work for multiple bands. I also tried using SAGA via QGIS but it gave an error stating multi-band functionality was not supported.

Any one know of a way I can compute this using Raster Calculator or GRASS's r.series?



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