Simple proofs of the Bedrosian equality for the Hilbert transform

Science in China, Series A: Mathematics

Volumn 52, Issue 3, 2009, Pages 507-510

  Wang, Silei ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Bedrosian theorem; Filter; Hilbert transform

Indexed keywords

EID: 62649110425     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-009-0001-2     Document Type: Article

References (6)

1. E. Bedrosian 1963 A product theorem for Hilbert transform Proc IEEE 51 868 869
2. J. L. Brown 1974 Analytic signals and product theorems for Hilbert transforms IEEE Trans Circuits Syst 11 790 792
3. Cohen L. Time-Frequency Analysis: Theory & Application. Upper Saddle River, NJ: Prentice-Hall, 1995
4. N. Huang I. Shen S. Long 1998 The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis Proc R Soc Lond Ser A 454 903 995
5. Y. Xu D. Yan 2006 The Bedrosian identy for the Hilbert transform of product functions Proc Amer Math Soc 134 9 2719 2728
6. Garnett J B. Bounded Analytic Functions. New York: Academic Press, 1981