The canonic signed digit code used to represent the coefficients of power-o
f two FIR (2PFIR) filter is nonuniformly distributed in the coefficient spa
ce. This paper proposed a neighboring full-search algorithm to design the m
ultiplierless FIR filter such that this nonuniform distribution characteris
tics is exploited. The proposed procedure can provide a multiplierless FIR
filter with fewer numbers of nonzero digits compared with others due to the
joint; consideration in finding and quantizing the FIR filter coefficients
and the exhaustive search nature of the proposed algorithm.