Analysis of phase noise influence on micro‐Doppler feature extraction of vibrating target

A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations

“…In the framework of wave scattering problems, the Doppler effect [11,23] characterizes the property that the motion of a target modulates the frequency of the reflected signal initially emitted by a source. For motions with uniform velocity, the Doppler frequency shift can be easily obtained [9] while for more general movements it is estimated by combining simple models and signal processing techniques [6,7,11,12,24,29,32]. During the last years, the radar detection of non uniformly moving scatterers was applied to a wide variety of problems because of the availability of newly designed high-frequency sensors and devices.…”

“…In the automotive industry, micro-Doppler sensing has recently been applied with success [17,24,27,29] to the contactless detection of vital signs, in particular for the breathing of children left alone on the back seat of overheating cars. Difficult challenges are then related to this kind of applications as for example the analysis of random body movements or vehicle vibrations [17,24,29,31,32,33] that can be classified thanks to their radar signature by deep learning techniques [3,4,14]. In the development life cycle of these new sensors, a full realistic simulation of the high frequency scenarios is therefore needed.…”

“…The solution of moving target problems formulated in a PDE framework has already received some attention from both the mathematical and engineering sides. Among them, analytical methods for simple motions were designed in [8,10,13,16,25,32,36]. Moreover, numerical approximation schemes based e.g.…”