TY - GEN
T1 - Distributions for time-frequency analysis
T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
AU - Papandreou, Antonia
AU - Boudreaux-Bartels, G. Faye
N1 - Funding Information:
Partial funding by ONR grant N00014-89-J-1812
Publisher Copyright:
© 1992 IEEE.
PY - 1992
Y1 - 1992
N2 - The authors generalize the Choi-Williams (1989) time-frequency exponential distribution (ED) and propose the Butterworth distribution (BUD). The kernels of both act as 2-D lowpass filters in the ambiguity function plane with variable filter characteristics. Increasing the order parameters results in flatter passbands and narrower transition regions, approaching ideal lowpass filters. The scaling parameters can be selected to scale the kernel's passband edge or stopband edge. It is shown that the BUD and the GED satisfy all the desirable properties of the ED, and optimum design equations for the BUD kernel parameters are derived. An optional order parameter quantization is discussed, and examples that demonstrate the superior nature of the GED and the BUD over the ED in removing cross-Terms while retaining desirable auto-Terms are given.
AB - The authors generalize the Choi-Williams (1989) time-frequency exponential distribution (ED) and propose the Butterworth distribution (BUD). The kernels of both act as 2-D lowpass filters in the ambiguity function plane with variable filter characteristics. Increasing the order parameters results in flatter passbands and narrower transition regions, approaching ideal lowpass filters. The scaling parameters can be selected to scale the kernel's passband edge or stopband edge. It is shown that the BUD and the GED satisfy all the desirable properties of the ED, and optimum design equations for the BUD kernel parameters are derived. An optional order parameter quantization is discussed, and examples that demonstrate the superior nature of the GED and the BUD over the ED in removing cross-Terms while retaining desirable auto-Terms are given.
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U2 - 10.1109/ICASSP.1992.226628
DO - 10.1109/ICASSP.1992.226628
M3 - Conference contribution
AN - SCOPUS:84973467418
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 181
EP - 184
BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 23 March 1992 through 26 March 1992
ER -