Design of multiplierless elliptic IIR filters

A new straightforward design of a special class of elliptic IIR lters is presented. The major goal is the complexity reduction of the realized digital lter. The multiplier coe cients are implemented with limited number of shift-and-add operations. This method is also called "multiplierless". Unlike classical design, a closed-form relations are derived giving relationships between the lter speci cation and preferred multiplier coe cients. At least a half of the coe cients can be implemented with the minimal number of shift-and-add operations without coe cient quantization. The second half of coe cients can be optimized without any in uence on the values of the rst half of the coe cients. A high attenuation margins and low-sensitive structures are used so that speci cation is still ful lled after quantization of the second half of the multiplier coe cients.