ABSTRACT
This chapter describes some results using discrete reduced interference distributions (RIDs). It presents some of the theory in terms of continuous mathematics. The chapter provides discrete methods for realizing RIDs. One of the criticisms of time-frequency distributions (TFDs), in general, and RIDs, in particular, involves the computational times required that are somewhat larger than for other types of representations. M. G. Amin and colleagues have made a number of contributions to the approximation of TFDs via kernel representations, including some of the key concepts. The development of the methods has brought the computation of discrete fixed kernel TFDs into or close to the realm of practicality for many applications. The quasi-Wigner TFD, the discrete Born–Jordan TFD and the binomial TFD exhibit negative values, caused by interference terms. TF analysis has a potentially large role in machine monitoring and diagnosis.
