IIR Cascaded-Resonator-Based Complex Filter Banks
Апстракт
The use of a filter bank of IIR filters for the spectral decomposition and analysis of signals has been popular for many years. As such, a new filter-bank resonator-based structure, representing an extremely hardware-efficient structure, has received a good deal of attention. Recently, multiple-resonator (MR)-based and general cascaded-resonator (CR)-based filters have been proposed. In comparison to single-resonator-based analyzers, analyzers with a higher multiplicity of resonators in the cascade provide lower side lobes and a higher attenuation in stopbands. In previous works, it was shown that the CR-based filter bank with infinite impulse response (IIR) filters, which is numerically more efficient than one with finite impulse response (FIR) filters, is suitable for dynamic harmonic analysis. This paper uses the same approach to design complex digital filter banks. In the previous case, the optimization task referred to the frequency responses of harmonic filters. In this work, the... harmonic filters of the mother filter bank are reshaped so that the frequency response of the sum (or difference, depending on the parity of the number of resonators in the cascade) of two adjacent harmonic filters is optimized. This way, an online adaptive filter base can be obtained. The bandwidth of the filters in the designed filter bank can be simply changed online by adding or omitting the output signals of the corresponding harmonics of the mother filter.
Кључне речи:
cascaded-resonator (CR)-based filter / complex filter bank / constrained linear least-squares / IIR filter / linear programming / multiple-resonator (MR)-based filterИзвор:
Acoustics, 2023, 5, 2, 535-552Издавач:
- MDPI
Институција/група
IHTMTY - JOUR AU - Kušljević, Miodrag AU - Vujičić, Vladimir AU - Tomić, Josif AU - Poljak, Predrag PY - 2023 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/7161 AB - The use of a filter bank of IIR filters for the spectral decomposition and analysis of signals has been popular for many years. As such, a new filter-bank resonator-based structure, representing an extremely hardware-efficient structure, has received a good deal of attention. Recently, multiple-resonator (MR)-based and general cascaded-resonator (CR)-based filters have been proposed. In comparison to single-resonator-based analyzers, analyzers with a higher multiplicity of resonators in the cascade provide lower side lobes and a higher attenuation in stopbands. In previous works, it was shown that the CR-based filter bank with infinite impulse response (IIR) filters, which is numerically more efficient than one with finite impulse response (FIR) filters, is suitable for dynamic harmonic analysis. This paper uses the same approach to design complex digital filter banks. In the previous case, the optimization task referred to the frequency responses of harmonic filters. In this work, the harmonic filters of the mother filter bank are reshaped so that the frequency response of the sum (or difference, depending on the parity of the number of resonators in the cascade) of two adjacent harmonic filters is optimized. This way, an online adaptive filter base can be obtained. The bandwidth of the filters in the designed filter bank can be simply changed online by adding or omitting the output signals of the corresponding harmonics of the mother filter. PB - MDPI T2 - Acoustics T1 - IIR Cascaded-Resonator-Based Complex Filter Banks VL - 5 IS - 2 SP - 535 EP - 552 DO - 10.3390/acoustics5020032 ER -
@article{ author = "Kušljević, Miodrag and Vujičić, Vladimir and Tomić, Josif and Poljak, Predrag", year = "2023", abstract = "The use of a filter bank of IIR filters for the spectral decomposition and analysis of signals has been popular for many years. As such, a new filter-bank resonator-based structure, representing an extremely hardware-efficient structure, has received a good deal of attention. Recently, multiple-resonator (MR)-based and general cascaded-resonator (CR)-based filters have been proposed. In comparison to single-resonator-based analyzers, analyzers with a higher multiplicity of resonators in the cascade provide lower side lobes and a higher attenuation in stopbands. In previous works, it was shown that the CR-based filter bank with infinite impulse response (IIR) filters, which is numerically more efficient than one with finite impulse response (FIR) filters, is suitable for dynamic harmonic analysis. This paper uses the same approach to design complex digital filter banks. In the previous case, the optimization task referred to the frequency responses of harmonic filters. In this work, the harmonic filters of the mother filter bank are reshaped so that the frequency response of the sum (or difference, depending on the parity of the number of resonators in the cascade) of two adjacent harmonic filters is optimized. This way, an online adaptive filter base can be obtained. The bandwidth of the filters in the designed filter bank can be simply changed online by adding or omitting the output signals of the corresponding harmonics of the mother filter.", publisher = "MDPI", journal = "Acoustics", title = "IIR Cascaded-Resonator-Based Complex Filter Banks", volume = "5", number = "2", pages = "535-552", doi = "10.3390/acoustics5020032" }
Kušljević, M., Vujičić, V., Tomić, J.,& Poljak, P.. (2023). IIR Cascaded-Resonator-Based Complex Filter Banks. in Acoustics MDPI., 5(2), 535-552. https://doi.org/10.3390/acoustics5020032
Kušljević M, Vujičić V, Tomić J, Poljak P. IIR Cascaded-Resonator-Based Complex Filter Banks. in Acoustics. 2023;5(2):535-552. doi:10.3390/acoustics5020032 .
Kušljević, Miodrag, Vujičić, Vladimir, Tomić, Josif, Poljak, Predrag, "IIR Cascaded-Resonator-Based Complex Filter Banks" in Acoustics, 5, no. 2 (2023):535-552, https://doi.org/10.3390/acoustics5020032 . .
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