An improved Fourier analysis of damped transients

It is shown that, using a systematic approach, it is possible to extract the components of very complex temporal signals (oscillating, nonoscillating or mixed), which may be encountered in various and widely diverging scientific fields. This result may be obtained rapidly and at low cost using standard microcomputers. A class of power-exponential windows that can be used to improve the resolution in many signal analysis problems, such as time-frequency representations, is defined