Okay, unfortunately this indicates a fault in the RCA TV unit, and this is not something that can be corrected via any settings or adjustments. The set would require service to correct the issue. Possible causes are a faulty power supply board, or mainboard in the RCA set.
Average cost for this type of repair will between $100-$200 depending on which circuit has the failure on the set. Given that a new LCD TV would cost you only around $200 for the same sized TV, I would think long and hard before deciding whether or not to repair this set.
I know this is not the answer you'd hoped for, but I see this problem fairly often with these sets.If you'd like to have the set repaired, you can use the link below to locate a tech in your area:http://www.tvrepairpros.com/
If you'd like any other type of assistance, or a recommendation for a new set, please let me know and I will be glad to assist you further.