Quadratic filters for signal processing
Article Abstract:
There are some signal processing situations in which linear filters perform poorly. Nonlinear filtering is applied to a variety of such situations. Polynomial, or Volterra, filters are a class of filters based on an input-output relation expressed in the form of a discrete Volterra series. Quadratic filters are the simplest example of such filters. The basic aspects and properties of quadratic filters are derived in the framework of the discrete volterra expansion. Fixed and adaptive filters are considered in single- and multidimensional environments. Design and efficient realizations are addressed, standard and advanced adaptation algorithms are presented, and examples of signal processing applications with quadratic filters are examined.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1992
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Design of RC-active filters for large variations in the gain-bandwidth product
Article Abstract:
A simple methodology is developed to modify an ideal design RC-active filter to meet a specific and acceptable performance range from a wide range of values of the finite gain-bandwidth product (GB) of an operational amplifier. The technique consists of three steps: find an initial design using a synthesis technique combined with assumption of an ideal op-amp with infinite GB, generate a simplicial approximation of the acceptable performance range, and select a boundary point characterized by the minimum value GB and which is acceptable for GB values from the minimum to the ideal. The method assumes all GBs of all op-amps are equal.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1988
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Bi-impulse response design of isotropic quadratic filters
Article Abstract:
The bi-impulse response of a 1-D or 2-D quadratic Volterra filter is introduced as a mathematical tool for complete description of the nonlinear operator. A study of the conditions that must be satisfied to obtain isotropic input/output relations is presented, resulting in a framework allowing the design of simple, effective operators and the acquisition of a fuller understanding of the properties of Volterra filters.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1990
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