Transformation classes for nonstationary signals in information measurement systems. II. Time-frequency transforms

The analytical form and properties of time-frequency transforms are given. These transforms can be used as data processing and analysis tools for nonstationary signals including those in data measurement and control systems. In the given examples the two-dimensional representation of signals in the Zak and Wigner transforms is compared with the conventional method of fast Fourier transform. The summary is given in the form of a table reflecting evolution and correlation elements for the time-frequency transformation class.