Time Reversal and Tomographic Representation for Signal Processing in Living Systems

The tomographic representation for signal processing opens new opportunities for studies of living system signals. Some signals can be described by functions of time f(t), which are approximately connected with each other by reversing of time. In this case, there is a possibility to observe transformation of tomograms for such functions. We obtain the correspondence of tomograms for functions f(t) and f(-t) in the vicinity of the frequency scale and illustrate by the examples of electric impedance of rat femoral artery pulsing in two different modes. We show that the use of a reference signal for signal processing of living systems provides new opportunities for employing both - their standard Fourier transforms and tomograms - to obtain new additional and useful information.

Automated summary

The tomographic representation for signal processing is applied in the study of living system signals. The use of a reference signal allows for the observation of tomogram transformations for functions described by f(t) and f(-t). The results show that this approach provides new opportunities for obtaining additional and useful information.