Base period for filing unemployment benefits
Base period in a broader sense is the period of employment prior to losing the job. It is also referred to as base year. Base period is generally the first four of the last five completed calendar quarters prior to the effective date of the claim / unemployment. So what is a calendar quarter? Every calendar year is divided into four parts, known as "quarters". Here are the 4 calendar quarters -

Coming to the Base Period, if the unemployment claim is filed in January, February or March of 2013, then the base period is October 2011 through September 2012.
Although base period is defined by state unemployment agencies, the following chart explains a definition adapted by many states.

Your filing Month and Year is
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