On the LFM signal improvement by piecewise vibrational resonance using a new spectral amplification factor

Abstract

The authors construct the piecewise vibrational resonance (VR) method by introducing the piecewise idea and combine the re-scaled and twice sampling methods for the linear frequency modulated (LFM) signal. Importantly, they put forward a new spectral amplification factor to quantify the VR. The new spectral amplification factor has some advantages as compared with the cross-correlated coefficient, which can also be used to quantify the aperiodic VR. The top value of the spectrum amplification factor is the necessary and sufficient condition for the occurrence of the optimal VR phenomenon. Here, they discuss the effects of different parameters on VR by using some numerical examples. The method described in this study provides an effective way to improve the LFM signal, and even other kinds of frequency modulated signals.

Acoustic vibrational resonance in a Rayleigh-Plesset bubble oscillator

“…There are a number of its variants, including re-scaled aperiodic vibrational resonance and the double-sampling aperiodic vibrational resonance methods [71] , [72] . In a very recent paper, a new approach to VR in terms of a spectral amplification factor was presented [73] . All these results are directed towards exploring the diverse potential applications of VR in, for instance, improving energy harvesting from electromechanical vibration devices [74] , [75] , [76] as well as in enhancing generalized energy detector approaches to weak random signals detection [77] .…”

Extraction and enhancement of unknown bearing fault feature in the strong noise under variable speed condition

“…In our former study, a proposed index, the spectrum amplification factor, is especially useful for characterizing the degree of resonance for the LFM signal [35]. The index is defined as…”

Vibrational resonances in driven oscillators with position-dependent mass

“…Furthermore, the existence of subharmonic and superharmonic resonances [86] and higher harmonics [87] were also reported. In another line of development, new methods of analysis in which nonlinear systems are driven by aperiodic forces have been investigated—giving birth to fresh perspectives for aperiodic VR, re-scaled aperiodic VR and twice-sampled aperiodic VR methods [88], re-scaled and improved twice-sampling [68] and a new spectral amplification factor approach [89].…”