Currently Being ModeratedOct 9, 2012 9:19 AM (in response to IthacaMatt)
There are tons of threads on this..Here are two of the larger ones.
65 plus pages here: https://discussions.apple.com/message/19955373#19955373
25 plus pages here: https://discussions.apple.com/message/19955566#19955566
You will read about people stating that restoring from a backup has caused issues. Having low signal causes battery drainage. Read through it, try the things you think that will work. Personally, I get over 1 day on a charge so no issues on my end.