A novel wavelet-based notch filter with controlled null width

Yung Yi Wang*, Ying Lu, Liang Cheng Lee

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review


This paper presents a wavelet-based approach for the design of the finite impulse response (FIR) notch filter with controlled null width. The M-band P-regular wavelet filters are employed to constitute the null space of the derivative constraint matrix. Taking advantage of the vanishing moment property of the wavelet filters, the proposed method controls the null width of the notch filter by adjusting the regularity of the employed wavelet filters. Besides, the selection of large number of bands of the wavelet filters can effectively reduce the minimum mean square error and thus improve the performance of the notch filter. Computer simulations show that, in addition to possessing lower computational complexity, the proposed reduced-rank method has similar frequency response compared to those of the full-rank-based techniques.

Original languageEnglish
Pages (from-to)1069-1075
Number of pages7
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number4
StatePublished - 04 2006
Externally publishedYes


  • Minimum mean square error
  • Notch filters
  • Reduced rank
  • Wavelet filters


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