ON JOINT DISTRIBUTIONS FOR ARBITRARY VARIABLES

被引：15

作者：

BARANIUK, RG

COHEN, L

机构：

[1] CUNY HUNTER COLL,NEW YORK,NY 10021

[2] CUNY,NEW YORK,NY 10021

来源：

IEEE SIGNAL PROCESSING LETTERS | 1995年 / 2卷 / 01期

关键词：

D O I：

10.1109/97.365519

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

There has been considerable interest in the problem of joint representations for variables other than time and frequency. In this letter, we compare the methods of Cohen and of Baraniuk and Jones and show their equivalence for variables that have the same commutator as time and frequency. In addition, we report the following very general result: All pairs of variables connected by a unitary transformation have joint distributions that are functionally equivalent.

引用

页码：10 / 12

页数：3

共 15 条

[1] WIDE-BAND, PROPORTIONAL-BANDWIDTH WIGNER-VILLE ANALYSIS
ALTES, RA
[J]. IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (06): : 1005 - 1012
[2] BARANIUK RG, IEEE T ACOUST SPEECH, V3, P320
[3] BARANIUK RG, 1993, IN PRESS IEEE T SIGN
[4] BERTRAND J, 1992, TIME FREQUENCY SIGNA
[5] GENERALIZED PHASE-SPACE DISTRIBUTION FUNCTIONS
COHEN, L
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (05) : 781 - &
[6] COHEN L, 1991, P SOC PHOTO-OPT INS, V1566, P109, DOI 10.1117/12.49816
[7] COHEN L, IN PRESS P IEEE
[8] COHEN L, 1992, ROLE WAVELETS SIGNAL, P118
[9] COHEN L, 1973, CONT RES F QUANTUM T
[10] EICHMANN G, 1984, P INT SOC OPT ENG SP, V519, P18

← 1 2 →