Abstract
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.
| Original language | English (US) |
|---|---|
| Title of host publication | ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 181-184 |
| Number of pages | 4 |
| Volume | 5 |
| ISBN (Electronic) | 0780305329 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |
| Event | 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States Duration: Mar 23 1992 → Mar 26 1992 |
Other
| Other | 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 |
|---|---|
| Country | United States |
| City | San Francisco |
| Period | 3/23/92 → 3/26/92 |
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ASJC Scopus subject areas
- Software
- Signal Processing
- Electrical and Electronic Engineering
Cite this
Distributions for time-frequency analysis : A generalization of Choi-Williams & the Butterworth distribution. / Papandreou-Suppappola, Antonia; Boudreaux-Bartels, G. Faye.
ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing. Vol. 5 Institute of Electrical and Electronics Engineers Inc., 1992. p. 181-184 226628.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Distributions for time-frequency analysis
T2 - A generalization of Choi-Williams & the Butterworth distribution
AU - Papandreou-Suppappola, Antonia
AU - Boudreaux-Bartels, G. Faye
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.
UR - http://www.scopus.com/inward/record.url?scp=84973467418&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84973467418&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.1992.226628
DO - 10.1109/ICASSP.1992.226628
M3 - Conference contribution
AN - SCOPUS:84973467418
VL - 5
SP - 181
EP - 184
BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
ER -