You need to read material on this which you can find by just searching CCO
Short answer:
Fast connect uses less messages since it sends capabilities since the beginning and does not wait for the other end to send the capabilities to then agree on one.
H.323 Overview
http://www.cisco.com/en/US/docs/ios/12_3/vvf_c/cisco_ios_h323_configuration_guide/old_archives_h323/2ovrvw.html
Fast connect allows endpoints to establish media channels without waiting for a separate H.245 connection to be opened. This streamlines the number of messages that are exchanged and the amount of processing that must be done before endpoint connections can be established
Fast Connect
http://en.wikipedia.org/wiki/H.323#Fast_Connect
HTH
java
If this helps, please rate
www.cisco.com/go/pdihelpdesk
HTH
java
if this helps, please rate