THE RELATIONSHIP BETWEEN INSTANTANEOUS FREQUENCY AND TIME-FREQUENCY REPRESENTATIONS

被引：33
|
作者：
LOVELL, BC
WILLIAMSON, RC
BOASHASH, B
机构：
[1] AUSTRALIAN NATL UNIV,DEPT SYST ENGN,CANBERRA,ACT 2601,AUSTRALIA
[2] AUSTRALIAN NATL UNIV,INTERDISCIPLINARY PROGRAM ENGN,CANBERRA,ACT 2601,AUSTRALIA
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1993年 / 41卷 / 03期
关键词：
D O I：
10.1109/78.205756
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：
We give the relationship between instantaneous frequency estimation via the derivative of the phase of the analytic signal and the first moment of general time-frequency representations from Cohen's class in both the continuous and discrete-time domains. Many researchers have applied the standard linear definition of first moment to discrete-time time-frequency representations although this leads to biased instantaneous frequency estimators with high variance; we show that periodic (circular) definitions of moments must be used to account for the periodization of the frequency variable due to sampling.
引用
收藏
页码：1458 / 1461
页数：4
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