Minimum sensitivity realization of second order recursive digital filter
Pei-Hwa Lo, Yih-Chyun Jenq · IEEE Transactions on Acoustics Speech and Signal Processing · 1982
In the fixed point second order digital filter, the sensitivity problem which arises from the coefficient truncation is studied. Based on the definition of state space eigenvalues sensitivity function, a new low-sensitivity realization is found. It is applicable to both complex conjugate poles and real poles filters. The dynamic range of the implemented output coefficients and the number of multiplications involved are also considered.