Local polynomial-time-frequency transform formulation of the pseudo-L-Wigner distribution

The general problem of instantaneous frequency estimation of a polynomial p hase signal and the capabilities of the two time-frequency distributions lo cal polynomial-time-frequency transform (LPTFT) and pseudo-l-Wigner distrib ution (PLWD) are demonstrated by considering an ideal time-frequency distri bution. This shows how we can take advantage of the different linearity pro perties of the distributions and also how we can express the PLWD as a spec ial case of the LPTFT. The LPTFT is very efficient but complex. This paper presents a relationship between the LPTFT and the PLWD which allows us to b enefit from the more easily calculated PLWD. (C) 2001 Elsevier Science B.V. All rights reserved.