Institute of Electrical and Electronics Engineers (IEEE)

Recursive implementation of gaussian filters with switching and reset hardware

Sami Khorbotly ¹

Firas Hassan ²

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Dept. of Electr. & Comput. Eng., Valparaiso Univ., Valparaiso, IN, USA |

Dept. of Elec. & Comp. Eng. & Comp. Sc., Ohio Northern Univ., Ada, OK, USA |

Publication type: Proceedings Article

Publication date: 2013-08-01

Institute of Electrical and Electronics Engineers (IEEE)

DOI: 10.1109/MWSCAS.2013.6674918

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Abstract

This paper suggests the use of linear programming and curve fitting to approximate Gaussian filters with a combination of recursive linear-phase exponential filters. The switching and reset method is used to create a stable implementation of an otherwise unstable pole-zero cancelation in the exponential filters. The results show that an accurate approximation of a Gaussian filter, of any order, can be recursively implemented using only 18 constant coefficient multipliers and 26 adders.

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Institute of Electrical and Electronics Engineers (IEEE)