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1.  Wavelet cross-correlation and phase analysis of a free cantilever subjected to band excitation 
Summary
This work introduces the concept of time–frequency map of the phase difference between the cantilever response signal and the driving signal, calculated with a wavelet cross-correlation technique. The wavelet cross-correlation quantifies the common power and the relative phase between the response of the cantilever and the exciting driver, yielding “instantaneous” information on the driver-response phase delay as a function of frequency. These concepts are introduced through the calculation of the response of a free cantilever subjected to continuous and impulsive excitation over a frequency band.
doi:10.3762/bjnano.3.33
PMCID: PMC3323919  PMID: 22497003
AFM; band excitation; force; wavelet transforms
2.  Tip-sample interactions on graphite studied using the wavelet transform 
Summary
Wavelet transform analysis is applied to a thermally excited cantilever to get insights into fundamental thermodynamical properties of its motion. The shortcomings of the widely used Fourier analysis are briefly discussed to put into perspective the wavelet transform analysis, used to describe the temporal evolution of the spectral content of the thermal oscillations of a cantilever with an interacting tip. This analysis allows to retrieve the force gradients, the forces and the Hamaker constant in a measurement time of less than 40 ms.
doi:10.3762/bjnano.1.21
PMCID: PMC3045927  PMID: 21977408
AFM; force; graphite; thermal excitation; wavelet transforms

Results 1-2 (2)