No a final decedent return only needs to be filed if he would have been required to file if alive.  I am sorry for your loss.

The gross income, age, and filing status of a decedent generally determine whether a return must be filed. Gross income is all income received by an individual from any source in the form of money, goods, property, and services that is not tax-exempt.   A return must be filed to obtain a refund if tax was withheld from salaries, wages, pensions, or annuities, or if estimated tax was paid, even if a return is not otherwise required to be filed.