Cross terms are an inherent consequence of the second order nature of
Cohen's class TFDs (Time-Frequency Distributions) [5], [6]. They are m
anifest in a TFD of multicomponent signals as spurious artifacts arisi
ng from interactions between the various signal components, and they c
an often appear at times and/or frequencies inconsistent with the unde
rlying physical nature of the signal, causing misinterpretation [2], [
3], [4]. There are many time frequency distributions that avoid the cr
oss term effect; the best are the Choi-Williams ED (Exponential Distri
bution) [1] and Levin's IPS (Instantaneous Power Spectrum) [9]. In thi
s paper we combine the cross term reducing philosophy of the ED and IP
S to obtain a new TFD that most effectively reduces the cross term eff
ect. Surprisingly, the new TFD also satisfies most desired TFD propert
ies.