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advertising PDUs

I have a central device that scans for and then connects to a peripheral device.  Most of the the time the scan and link establishment process works without any problems.  Occasionally, however, I notice that I am not able to make that connection.  When I sniff the data packets using the TI Packet Sniffer program I notice that when I am not able to connect my central device witha peripheral device I am getting a repeated 'ADV_NON_CONN_IND' type of advertisment packet that my central device seems to be ignoring.

What is the ADV_NON_CONN_IND data packet and how should I be responding to it?

Thanks...