The bibliography style you choose should be what determines whether and how things like titles should be capitalized. This helps make the same .bib file be reusable in different documents. However, you need to help things along by protecting things that need to stay capitalized by putting things like proper nouns and acronyms in braces. In the case of the example above, one approach would be:
@inproceedings{R14,
Author = {},
Booktitle = {},
Title = {``{A} fully integrated...''},
Year = {}
}
(I assume the problem in this case is due to the title entry starting with a backtick (i.e., `) rather than the letter A.)
Note also that if you are using biblatex, you have more options regarding the use of quotation marks in titles (e.g., \mkbibquote{...}).
title = {``{A} fully integrated...''}. (Not sure what is going on with the quotation marks in your example....) – jon Sep 20 '12 at 2:38amsplain.bstuses them and in your case you'd end up with two pairs of quotes. – egreg Sep 20 '12 at 9:43