Here is a suggested setting for the default profile for these modems. See Common.
For Lightspeed store profile:
at&f at&c1 at&d3 ats0=0 at%c2 atw1 at&w
and for tornado store profile:
at&f at&d3 ats0=0 at&w
Then just initialize the modem with init-chat set to
"" ATZ OK.