Analysis of range and precision is always an important task for high level synthesis.Although several researches have been dedicated to these two problems

in the case of an infinite impulse response (IIR) filter

conventional approaches either constitute major overestimations or cannot handle arbitrary order feedback circuits.In this paper we focus on these problems and propose one efficient heuristic method for range and precision analysis of such circuits.When the input and error bounds are given

the minimum integer and fractional bit-widths can be allocated to satisfy the error bound

which can obtain smaller circuit area.The experimental results prove that the proposed method has fast convergence and robustness.Because a high order IIR can be decomposed to low order IIRs

the method can efficiently handle IIRs with arbitrary orders.