TY - GEN

T1 - A unified framework for the Bertrand distribution and the Altes distribution

T2 - 1992 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

AU - Papandreou, A.

AU - Hlawatsch, F.

AU - Boudreaux-Bartels, G. F.

N1 - Publisher Copyright:
© 1992 IEEE.

PY - 1992

Y1 - 1992

N2 - We study the Bertrand distribution which is a member of the affine class of time-frequency distributions (TFDs), and the Altes distribution which does not belong to any known class of TFDs. We show that both TFDs are closely related to a "hyperbolic time-frequency geometry." Based on this geometry, we define and study a new "hyperbolic class" of TFDs which contains both the Bertrand distribution and the Altes distribution. We show that the hyperbolic class can be derived from the well-known Cohen's class of TFDs by a frequency-warping procedure that potentially results in a constant-Q time-frequency analysis.

AB - We study the Bertrand distribution which is a member of the affine class of time-frequency distributions (TFDs), and the Altes distribution which does not belong to any known class of TFDs. We show that both TFDs are closely related to a "hyperbolic time-frequency geometry." Based on this geometry, we define and study a new "hyperbolic class" of TFDs which contains both the Bertrand distribution and the Altes distribution. We show that the hyperbolic class can be derived from the well-known Cohen's class of TFDs by a frequency-warping procedure that potentially results in a constant-Q time-frequency analysis.

UR - http://www.scopus.com/inward/record.url?scp=33747695181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747695181&partnerID=8YFLogxK

U2 - 10.1109/TFTSA.1992.274241

DO - 10.1109/TFTSA.1992.274241

M3 - Conference contribution

AN - SCOPUS:33747695181

T3 - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

SP - 27

EP - 30

BT - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 4 October 1992 through 6 October 1992

ER -