The recent study of signal interference circuits, which find its origins in earlier work related to active channelized filters, has introduced new methods for shaping the frequency response of electrical systems. This paper seeks to extend this thread of research by investigating the frequency response shaping of electromechanical resonators which are embedded in feedforward, signal interference control architectures. In particular, mathematical models are developed to explore the behavior of linear resonators that are embedded in two prototypical signal interference control topologies, which can exhibit a variety of qualitatively distinct frequency domain behaviors with component-level tuning. Experimental approaches are then used to demonstrate the proposed designs' utility.

References

References
1.
Rhoads
,
J. F.
,
Shaw
,
S. W.
, and
Turner
,
K. L.
,
2010
, “
Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators
,”
ASME J. Dyn. Syst., Meas., Control
,
132
(
3
), p.
034001
.
2.
Agarwal
,
M.
,
Park
,
K.
,
Candler
,
R.
,
Hopcroft
,
M.
,
Jha
,
C.
,
Melamud
,
R.
,
Kim
,
B.
,
Murmann
,
B.
, and
Kenny
,
T. W.
,
2005
, “
Non-Linearity Cancellation in MEMS Resonators for Improved Power Handling
,”
2005 IEEE International Electron Devices Meeting
(
IEDM
), pp.
286
289
.http://micromachine.stanford.edu/~bongsang/pdf/Agarwal_2005_IEDM.pdf
3.
Bajaj
,
N.
,
Sabater
,
A. B.
,
Hickey
,
J. N.
,
Chiu
,
G. T.-C.
, and
Rhoads
,
J. F.
,
2016
, “
Design and Implementation of a Tunable, Duffing-Like Electronic Resonator Via Nonlinear Feedback
,”
J. Microelectromech. Syst.
,
25
(
1
), pp.
2
10
.
4.
Kacem
,
N.
, and
Hentz
,
S.
,
2009
, “
Bifurcation Topology Tuning of a Mixed Behaviour in Nonlinear Micromechanical Resonators
,”
Appl. Phys. Lett.
,
95
(
18
), p.
183104
.
5.
Kozinsky
,
I.
,
Postma
,
H. W. C.
,
Bargatin
,
I.
, and
Roukes
,
M. L.
,
2006
, “
Tuning Nonlinearity, Dynamic Range, and Frequency of Nanomechanical Resonators
,”
Appl. Phys. Lett.
,
88
(
25
), p.
253101
.
6.
Hsieh
,
L.-H.
, and
Chang
,
K.
,
2003
, “
Compact, Low Insertion-Loss, Sharp-Rejection, and Wide-Band Microstrip Bandpass Filters
,”
IEEE Trans. Microwave Theory Tech.
,
51
(
4
), pp.
1241
1246
.
7.
Gomez-Garcia
,
R.
,
Alonso
,
J. I.
, and
Briso-Rodriguez
,
C.
,
2003
, “
On the Design of High-Linear and Low-Noise Two-Branch Channelized Active Bandpass Filters
,”
IEEE Trans. Circuits Syst., II: Analog Digital Signal Process.
,
50
(
10
), pp.
695
704
.
8.
Gomez-Garcia
,
R.
, and
Alonso
,
J. I.
,
2005
, “
Design of Sharp-Rejection and Low-Loss Wide-Band Planar Filters Using Signal-Interference Techniques
,”
IEEE Microwave Wireless Compon. Lett.
,
15
(
8
), pp.
530
532
.
9.
Sanchez-Soriano
,
M. A.
,
Bronchalo
,
E.
, and
Torregrosa-Penalva
,
G.
,
2009
, “
Compact UWB Bandpass Filter Based on Signal Interference Techniques
,”
IEEE Microwave Wireless Compon. Lett.
,
19
(
11
), pp.
692
694
.
10.
Psychogiou
,
D.
,
Peroulis
,
D.
,
Loeches-Sanchez
,
R.
, and
Gomez-Garcia
,
R.
,
2015
, “
Analog Signal-Interference Narrow-Band Bandpass Filters With Hybrid Transmission-Line/SAW-Resonator Transversal Filtering Sections
,”
IEEE International Symposium on Circuits and Systems
(
ISCAS
), May 24–27, pp.
281
284
.
11.
Rauscher
,
C.
,
1985
, “
Microwave Active Filters Based on Transversal and Recursive Principles
,”
IEEE Trans. Microwave Theory Tech.
,
33
(
12
), pp.
1350
1360
.
12.
Rauscher
,
C.
,
2000
, “
Two-Branch Microwave Channelized Active Bandpass Filters
,”
IEEE Trans. Microwave Theory Tech.
,
48
(
3
), pp.
437
444
.
13.
Sanchez-Soriano
,
M. A.
, and
Hong
,
J.-S.
,
2011
, “
Reconfigurable Lowpass Filter Based on Signal Interference Techniques
,”
IEEE MTT-S International Microwave Symposium Digest
(
MTT
), June 5–10.
14.
Gomez-Garcia
,
R.
,
Sanchez-Soriano
,
M.-A.
,
Tam
,
K.-W.
, and
Xue
,
Q.
,
2014
, “
Flexible Filters: Reconfigurable-Bandwidth Bandpass Planar Filters With Ultralarge Tuning Ratio
,”
IEEE Microwave Mag.
,
15
(
5
), pp.
43
54
.
15.
Naglich
,
E. J.
,
Peroulis
,
D.
, and
Chappell
,
W. J.
,
2013
, “
Low-Order Filter Response Enhancement in Reconfigurable Resonator Arrays
,”
IEEE Trans. Microwave Theory Tech.
,
61
(
12
), pp.
4387
4395
.
16.
Rauscher
,
C.
,
2001
, “
Varactor-Tuned Active Notch Filter With Low Passband Noise and Signal Distortion
,”
IEEE Trans. Microwave Theory Tech.
,
49
(
8
), pp.
1431
1437
.
17.
Psychogiou
,
D.
,
Goamez-Garcia
,
R.
, and
Peroulis
,
D.
,
2015
, “
Acoustic Wave Resonator-Based Absorptive Bandstop Filters With Ultra-Narrow Bandwidth
,”
IEEE Microwave Wireless Compon. Lett.
,
25
(
9
), pp.
570
572
.
18.
Yagubizade
,
H.
,
Darvishi
,
M.
,
Elwenspoek
,
M. C.
, and
Tas
,
N. R.
,
2013
, “
A 4th-Order Band-Pass Filter Using Differential Readout of Two In-Phase Actuated Contour-Mode Resonators
,”
Appl. Phys. Lett.
,
103
(
17
), p.
173517
.
19.
Sabater
,
A. B.
,
Kumar
,
V.
,
Mahmood
,
A.
, and
Rhoads
,
J. F.
,
2013
, “
On the Nonlinear Dynamics of Electromagnetically Transduced Microresonators
,”
J. Microelectromech. Syst.
,
22
(
5
), pp.
1020
1031
.
20.
Calvert
,
S. L.
,
Shen
,
Y.
,
Sabater
,
A. B.
,
Mohammadi
,
S.
, and
Rhoads
,
J. F.
,
2015
, “
Towards a Comprehensive Model for a Resonant Nanoelectromechanical System
,”
J. Micromech. Microeng.
,
25
(
9
), p.
095010
.
21.
Yu
,
L.
,
Pajouhi
,
H.
,
Nelis
,
M. R.
,
Rhoads
,
J. F.
, and
Mohammadi
,
S.
,
2012
, “
Tunable, Dual-Gate, Silicon-on-Insulator (SOI) Nanoelectromechanical Resonators
,”
IEEE Trans. Nanotechnol.
,
11
(
6
), pp.
1093
1099
.
22.
Horowitz
,
P.
, and
Hill
,
W.
,
2015
,
The Art of Electronics
,
Cambridge University Press
,
New York
.
You do not currently have access to this content.