A signal decomposition or lowpass filtering with Hilbert transform?

M. Feldman

Research output: Contribution to journalLetterpeer-review


Recently, Chen and Wang discovered an explicit formula that makes use of the Hilbert transform for accurate decomposition of a lower harmonic from a signal composition. This letter presents another proof with a new interpretation for the formula using the Bedrosian identity for overlapping signals. This new and simpler proof is based only on the Hilbert transform and does not involve presentation of the Fourier transform. As a result the discovered formula is introduced as a lowpass filter suitable for non-stationary signals.

Original languageEnglish
Pages (from-to)3205-3208
Number of pages4
JournalMechanical Systems and Signal Processing
Issue number8
StatePublished - Nov 2011
Externally publishedYes


  • Bedrosian identity
  • Hilbert transform
  • Lowpass filter
  • Non-stationary signal


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