Comparative study of finite wordlength effects in shift and delta operator parameterizations

The sensitivity of the transfer function to finite-wordlength-effect errors in the implementation of the coefficients of both shift operator and delta operator parameterizations is analyzed. The relationships between optimal realization sets in shift and delta operator are established. It is shown that the optimal realization in delta operator parameterizations have better performance than those in their shift operator counterparts when the poles of the systems are clustered around z=+1. A numerical example is given.>