@article{ee36d6047fee45b09580aa197b13ba9b,
title = "Generalization of the Choi-Williams Distribution and the Butterworth Distribution for Time-Frequency Analysis",
abstract = "We provide a generalization to the Choi-Williams exponential distribution and introduce the new Butterworth distribution. We compute design equations and curves for the optimal choices of their parameters and for the optimal value of σ of the exponential distribution. We also provide examples that demonstrate the superior performance of our method over the Choi-Williams. Our new distributions can achieve cross-term reduction and autoterm preservation simultaneously, whereas the Choi-Williams distribution suffers from an inherent tradeoff between the two.",
author = "Antonia Papandreou and Boudreaux-Bartels, {G. Faye}",
note = "Funding Information: Cohen{\textquoteright}s class of distributions can be interpreted as the inverse Fourier transform (FT) of the product of the representation dependent kernel @({, 7) with the ambiguity function (AF) Ar(t, 7) of a signalx(t) [2]. C,(t, w; 4) simplifies to the Wigner distribution (WD) when 7) = I,since the WD and the AF are FT pairs. Unfortunately, the TFR{\textquoteright}s in (1) are quadratic in the signal and give Manuscript received September 19, 1991; revised April 12, 1992. This work was supported in part by ONR Grant N00014-89-5-1812. The authors are with the Department of Electrical Engineering, University of Rhode Island, Kingston, RI 02881. IEEE Log Number 9203361. {\textquoteleft}Unless otherwise indicated, the limits of integration are assumed to ex- tend from -m to f w .",
year = "1993",
month = jan,
doi = "10.1109/TSP.1993.193179",
language = "English (US)",
volume = "41",
pages = "463",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",
}