SWT and its application in design of fractional filter

Cao Zhi · Jisuanji gongcheng yu sheji · 2011

To deal with filtering problems of nonstationary signal interfered by noise and reserve the original signal part after filtering as much as possible,the fractional filter designed by the interfered signals’ Stockwell-Wigner Transform(SWT) is presented.Firstly,the novel SWT is derived,combining the advantages of STs’ multi-resolution and WVDs’ high clarity,and then it is applied to help design the fractional filter,minimizing the area circled by cutoff lines in the time-frequency domain.Theoretically analysis and numerical implementation indicate that the proposed method is effective and could decrease the NMSE of the reconstructed signal.

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