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High-Q HF microelectromechanical filters
Bannon, F.D.   Clark, J.R.   Nguyen, C.T.-C.  
Michigan Univ., Ann Arbor, MI;

This paper appears in: Solid-State Circuits, IEEE Journal of
Publication Date: Apr 2000
Volume: 35,  Issue: 4
On page(s): 512-526
ISSN: 0018-9200
References Cited: 36
CODEN: IJSCBC
INSPEC Accession Number: 6601061
Digital Object Identifier: 10.1109/4.839911
Current Version Published: 2002-08-06

Abstract
IC-compatible microelectromechanical intermediate frequency filters using integrated resonators with Q's in the thousands to achieve filter Q's in the hundreds have been demonstrated using a polysilicon surface micromachining technology. These filters are composed of two clamped-clamped beam micromechanical resonators coupled by a soft flexural-mode mechanical spring. The center frequency of a given filter is determined by the resonance frequency of the constituent resonators, while the bandwidth is determined by the coupling spring dimensions and its location between the resonators. Quarter-wavelength coupling is required on this microscale to alleviate mass loading effects caused by similar resonator and coupler dimensions. Despite constraints arising from quarter-wavelength design, a range of percent bandwidths is still attainable by taking advantage of low-velocity spring attachment locations. A complete design procedure is presented in which electromechanical analogies are used to model the mechanical device via equivalent electrical circuits. Filter center frequencies around 8 MHz with Q's from 40 to 450 (i.e., percent bandwidths from 0.23 to 2.5%), associated insertion losses less than 2 dB, and spurious-free dynamic ranges around 78 dB are demonstrated using low-velocity designs with input and output termination resistances of the order of 12 kΩ

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