Raw Input 
AAA "BBB" CCC "DDD" EEE
Desired Output 
BBB EEE
Script and Comments
Script1 [sed] 
[ 1] s/[^"]*"\([^"]*\)"[^"]*/\1 /g
[ 2] s/.$//
Script2 [perl] 
[ 1] $string ='AAA "BBB" CCC "DDD" EEE';
[ 2] foreach ($string =~ m/"(.*?)"/g)
[ 3] { print $_, " ";
[ 4] }