Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming
This paper presents a design method of Chebyshev-type and inverse-Chebyshev-type infinite impulse response (IIR) filters with an approximately linear phase response. In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an eq...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Electrical and Computer Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/304174 |
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| _version_ | 1832547193113804800 |
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| author | Yasunori Sugita |
| author_facet | Yasunori Sugita |
| author_sort | Yasunori Sugita |
| collection | DOAJ |
| description | This paper presents a design method of Chebyshev-type and inverse-Chebyshev-type infinite impulse response (IIR) filters with an approximately linear phase response. In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an equiripple characteristic in the passband is achieved by iteratively solving the QP problem using the transfer function. In the design of inverse-Chebyshev-type filters, the flatness condition in the passband is added to the constraint of the QP problem as the linear matrix equality, and an equiripple characteristic in the stopband is realized by iteratively solving the QP problem. To guarantee the stability of the obtained filters, we apply the extended positive realness to the QP problem. As a result, the proposed method can design the filters with more high precision than the conventional methods.
The effectiveness of the proposed design method is illustrated with some examples. |
| format | Article |
| id | doaj-art-f899cb9d917341e7a266c89a0c904879 |
| institution | Kabale University |
| issn | 2090-0147 2090-0155 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Electrical and Computer Engineering |
| spelling | doaj-art-f899cb9d917341e7a266c89a0c9048792025-02-03T06:45:58ZengWileyJournal of Electrical and Computer Engineering2090-01472090-01552015-01-01201510.1155/2015/304174304174Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic ProgrammingYasunori Sugita0Nagaoka University of Technology, 1603-1 Kamitomioka, Nagaoka City, Niigata 940-2188, JapanThis paper presents a design method of Chebyshev-type and inverse-Chebyshev-type infinite impulse response (IIR) filters with an approximately linear phase response. In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an equiripple characteristic in the passband is achieved by iteratively solving the QP problem using the transfer function. In the design of inverse-Chebyshev-type filters, the flatness condition in the passband is added to the constraint of the QP problem as the linear matrix equality, and an equiripple characteristic in the stopband is realized by iteratively solving the QP problem. To guarantee the stability of the obtained filters, we apply the extended positive realness to the QP problem. As a result, the proposed method can design the filters with more high precision than the conventional methods. The effectiveness of the proposed design method is illustrated with some examples.http://dx.doi.org/10.1155/2015/304174 |
| spellingShingle | Yasunori Sugita Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming Journal of Electrical and Computer Engineering |
| title | Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming |
| title_full | Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming |
| title_fullStr | Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming |
| title_full_unstemmed | Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming |
| title_short | Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming |
| title_sort | design of iir digital filters with arbitrary flatness using iterative quadratic programming |
| url | http://dx.doi.org/10.1155/2015/304174 |
| work_keys_str_mv | AT yasunorisugita designofiirdigitalfilterswitharbitraryflatnessusingiterativequadraticprogramming |