The stability of digital ladder filters related to LC Cauer ladder low-pass filters by L. T. Bruton's (1975) LDI transformation is studied. Necessary and sufficient conditions for the digital LDI Cauer filter to be lossless and for a corresponding doubly terminated filter to be stable are derived. A concurrence relation between the stability and sampling rate requirements is shown for implementations by switched capacitors, which with the choice appropriate sampling rates generically guarantee also the sufficiency condition for stability.
|Number of pages||4|
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|State||Published - 1986|