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Closed-Form Design of Maximally Flat IIR Half-Band Filters
Content Provider | Semantic Scholar |
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Author | Zhang, Xi Amaratunga, Kevin |
Copyright Year | 2001 |
Abstract | Half-band (HB) filters are of great importance and are often used in multirate digital signal processing systems, filter banks and wavelets. In this paper, a new closed-form expression for the transfer function of the maximally flat (MF) infinite-impulse response (IIR) HB filters is presented. The filter coefficients are directly obtained by solving a linear system of Vandermonde equations that are derived from the maximal flatness conditions. The proposed IIR half-band filters are more general than the existing half-band filters, because they include the conventional finite-impulse response (FIR) half-band filters with exactly linear phase, the generalized FIR half-band filters with approximately linear phase and the all-pass-based IIR half-band filters, as special cases. Furthermore, the causal stable IIR HB filters and the IIR HB filters with exactly linear phase can be realized also. Finally, some design examples are presented to demonstrate the effectiveness of the proposed IIR HB filters. |
File Format | PDF HTM / HTML |
Alternate Webpage(s) | https://www.researchgate.net/profile/Xi_Zhang63/publication/4003578_Closed-form_design_of_maximally_flat_IIR_half-band_filters/links/54e899c50cf25ba91c7e101f.pdf?origin=publication_list |
Alternate Webpage(s) | http://www.xiz.ice.uec.ac.jp/paper/ieeecas02.pdf |
Alternate Webpage(s) | https://www.researchgate.net/profile/Xi_Zhang63/publication/3325863_Closed-form_design_of_maximally_flat_IIR_half-band_filters/links/54e899c60cf27a6de10f211b.pdf?origin=publication_list |
Alternate Webpage(s) | https://pdfs.semanticscholar.org/c171/291722097b0106118b5d0a7b4d14824f3f05.pdf |
Alternate Webpage(s) | http://www.researchgate.net/profile/Xi_Zhang63/publication/4003578_Closed-form_design_of_maximally_flat_IIR_half-band_filters/links/54e899c50cf25ba91c7e101f.pdf |
Language | English |
Access Restriction | Open |
Subject Keyword | Bank (environment) Butterworth filter Causal filter Coefficient Digital signal processing Filter bank Finite impulse response Flatfoot Half-band filter Image impedance Infinite impulse response Linear phase Linear system Maximal set Transfer function Wavelet |
Content Type | Text |
Resource Type | Article |