>a very powerful compression scheme, it's perhaps possible. 

The compression used is .jpg or .jp2 (jpeg-2000)

For reasonybly sized pictures 10kb is minimum, 20kb is average size.
The quality does deteriorate rapidly below 20kb/picture.

The drm-modem (qam-16 mode b) has a raw troughput of 3600bps, 2400bps 
FEC'd. Means 66 sec for a 20kb picture.

A 500hz wide FDM modem of 500hz BW would have 600bps raw, 400bps 
FEC'd, Means 6 minutes for a 20kb picture. I think this is not 
practical.

btw you can test the quality/size tradeoff with irfanview.




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