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Fractional-order comb filter design for power-line interference removal. (English) Zbl 1505.93264

Mehta, Utkal (ed.) et al., Applied fractional calculus in identification and control. Cham: Springer. Stud. Infrastruct. Control, 43-54 (2022).
Summary: Signal filtering has gained much importance in our electronic run world. Every electronic device has some form of filtering component inside it. One important type of filter is the comb filter which is essential in several applications. This chapter introduces the fractional-order comb filter (FOCF) that can be utilized to filter power line interference specifically the harmonics that come with non-linear loads. The method of designing the FOCF is a non-conventional, but ingenious method. Instead of combining a low-pass with a high-pass filter to form the notches of the filter, the general second-order transfer function of the low-pass filter is tweaked and stabilized to create the individual notch filters. These notch filters are then converted to fractional form and cascaded in series to form the FOCF. The realized FOCF is essentially compared with the integer-order comb filter (IOCF). In addition, the chapter gives a sufficient discussion on the parameters selection and how they affect the response of the FOCF. The obtained results from the realization successfully demonstrated increased performance in the FOCF compared to the IOCF especially in the selectivity of frequencies.
For the entire collection see [Zbl 1496.93009].

MSC:

93E11 Filtering in stochastic control theory
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
26A33 Fractional derivatives and integrals

Software:

WCA
Full Text: DOI

References:

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