First−order sensitivity of constant−resistance analog filters with applications to filter banks

Abstract : In this paper we derive first−order sensitivity expressions for constant−resistance analog filters, that can be used in tree−structured analog filter banks. It is shown that the passband sensitivity is approximately equal to that of a singly resistively terminated ladder network, but weighted with the squared magnitude of the frequency response in the stopband. This makes properly designed constant−resistance ladder networks very insensitive to component variations. Numerical sensitivity simulations show substantially lower sensitivity than for doubly resistively terminated ladder networks.