ABSTRACT

In Chapter 12, we considered window-based methods for analyzing nonstationary processes with time-varying frequencies (TVF). These include short-term Fourier transforms (Gabor), along with Wigner-Ville and wavelet representations. In this chapter, we introduce an altogether different approach for analyzing TVF data in which we extend the definition of stationarity to the class of generalized-stationary (or G-stationary) processes. This approach allows us to transform the time index of many nonstationary processes to an index set upon which they are stationary.