Digital filter network sensitivity with multiple identical transmittances

In this paper we obtain results that are useful in the investigation of network sensitivity of a liner shift invariant discrete-time system to changes in the value of multiple identical transmittances. The expressions for the sensitivity generalize the results obtained in [2] and [3] for the case of network sensitivity with respect to single transmittances. The results can be applied in the study of systems where several parameters in different locations in the network are constrained to have identical values, or where several identical building blocks are used in the system realization.