Optimizing Elliptic Filter Selectivity

  • Authors:
  • Celestino A. Corral;Claude S. Lindquist

  • Affiliations:
  • Motorola, Inc., 1500 Gateway Blvd., Boynton Beach, FL 33426, (561) 739-2599;MicroUnity Systems Engineering, Inc., 376 Martin Avenue, Santa Clara, CA 95050, (408) 734-8100

  • Venue:
  • Analog Integrated Circuits and Signal Processing - Special issue on the 1998 and 1999 midwest symposia on circuits and systems
  • Year:
  • 2001

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Abstract

The problem of determining the band-edge selectivity of elliptic filters and its optimization in filter design is considered. The band-edge selectivity is derived with respect to the n-th order elliptic function. The selectivity formula embodies potential trade-offs in filter requirements for improving filter mangitude or delay response. Design examples are submitted in support of the theory. A simple proof describes the Chebyshev filter as an elliptic filter in the limit of infinite stopband corner frequency.