Title
A Kalman Filter for Amplitude Estimation in High-Speed Dynamic Mode Atomic Force Microscopy
Abstract
A fundamental challenge in dynamic mode atomic force microscopy (AFM) is the estimation of the cantilever oscillation amplitude from the deflection signal, which might be distorted by noise and/or high-frequency components. When the cantilever is excited at resonance, its deflection is typically obtained via narrow-band demodulation using a lock-in amplifier (LIA). However, the bandwidth of this measurement technique is ultimately bounded by the low-pass filter, which must be employed after demodulation to attenuate the component at twice the carrier frequency. Furthermore, to measure the amplitude of multiple frequency components, such as higher eigenmodes and/or higher harmonics in multifrequency AFM, multiple LIAs must be employed. In this paper, the authors propose the estimation of amplitude and phase using a linear time-varying Kalman filter that is easily extended to multiple frequencies. Experimental results are obtained using square-modulated sine waves and closed-loop AFM scans, verifying the performance of the proposed Kalman filter.
Year
DOI
Venue
2016
10.1109/TCST.2015.2435654
Control Systems Technology, IEEE Transactions
Keywords
Field
DocType
Kalman filters,Bandwidth,Amplitude estimation,Estimation,Frequency estimation,Resonant frequency,Harmonic analysis
Demodulation,Control theory,Cantilever,Control engineering,Kalman filter,Harmonics,Bandwidth (signal processing),Amplitude,Sine wave,Physics,Amplifier
Journal
Volume
Issue
ISSN
PP
99
1063-6536
Citations 
PageRank 
References 
1
0.48
2
Authors
4
Name
Order
Citations
PageRank
Michael G. Ruppert153.37
Karvinen, K.S.210.82
Samuel L. Wiggins310.48
S. O. Reza Moheimani411.50