Generalization of the Choi-Williams Distribution and the Butterworth Distribution for Time-Frequency Analysis
Date of Original Version
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. © 1993 IEEE
IEEE Transactions on Signal Processing
Papandreou, Antonia, and G. F. Boudreaux-Bartels. "Generalization of the Choi-Williams Distribution and the Butterworth Distribution for Time-Frequency Analysis." IEEE Transactions on Signal Processing 41, 1 (1993): 463. doi:10.1109/TSP.1993.193179.