Noniterative Design of 2-Channel FIR Orthogonal Filters
This paper addresses the problem of obtaining an explicit expression of all real FIR paraunitary filters. In this work, we present a general parameterization of 2-channel FIR orthogonal filters. Unlike other approaches which make use of a lattice structure, we show that our technique designs any ort...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Online Access: | http://dx.doi.org/10.1155/2007/45816 |
| _version_ | 1818491986091442176 |
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| author | M. Elena Domínguez Jiménez |
| author_facet | M. Elena Domínguez Jiménez |
| author_sort | M. Elena Domínguez Jiménez |
| collection | DOAJ |
| description | This paper addresses the problem of obtaining an explicit expression of all real FIR paraunitary filters. In this work, we present a general parameterization of 2-channel FIR orthogonal filters. Unlike other approaches which make use of a lattice structure, we show that our technique designs any orthogonal filter directly, with no need of iteration procedures. Moreover, in order to design an L-tap 2-channel paraunitary filterbank, it suffices to choose L/2 independent parameters, and introduce them in a simple expression which provides the filter coefficients directly. Some examples illustrate how this new approach can be used for designing filters with certain desired properties. Further conditions can be eventually imposed on the parameters so as to design filters for specific applications. |
| first_indexed | 2024-12-10T17:37:44Z |
| format | Article |
| id | doaj.art-9b07270187a1431796fe7b5ce5f934be |
| institution | Directory Open Access Journal |
| issn | 1687-6172 1687-6180 |
| language | English |
| last_indexed | 2024-12-10T17:37:44Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-9b07270187a1431796fe7b5ce5f934be2022-12-22T01:39:28ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802007-01-01200710.1155/2007/45816Noniterative Design of 2-Channel FIR Orthogonal FiltersM. Elena Domínguez JiménezThis paper addresses the problem of obtaining an explicit expression of all real FIR paraunitary filters. In this work, we present a general parameterization of 2-channel FIR orthogonal filters. Unlike other approaches which make use of a lattice structure, we show that our technique designs any orthogonal filter directly, with no need of iteration procedures. Moreover, in order to design an L-tap 2-channel paraunitary filterbank, it suffices to choose L/2 independent parameters, and introduce them in a simple expression which provides the filter coefficients directly. Some examples illustrate how this new approach can be used for designing filters with certain desired properties. Further conditions can be eventually imposed on the parameters so as to design filters for specific applications.http://dx.doi.org/10.1155/2007/45816 |
| spellingShingle | M. Elena Domínguez Jiménez Noniterative Design of 2-Channel FIR Orthogonal Filters EURASIP Journal on Advances in Signal Processing |
| title | Noniterative Design of 2-Channel FIR Orthogonal Filters |
| title_full | Noniterative Design of 2-Channel FIR Orthogonal Filters |
| title_fullStr | Noniterative Design of 2-Channel FIR Orthogonal Filters |
| title_full_unstemmed | Noniterative Design of 2-Channel FIR Orthogonal Filters |
| title_short | Noniterative Design of 2-Channel FIR Orthogonal Filters |
| title_sort | noniterative design of 2 channel fir orthogonal filters |
| url | http://dx.doi.org/10.1155/2007/45816 |
| work_keys_str_mv | AT melenadomamp237nguezjimamp233nez noniterativedesignof2channelfirorthogonalfilters |