Article: 2-D filter stability tests using polynomial array
| Title | 2-D filter stability tests using polynomial array |
|---|---|
| Authors | Hu, Xiheng1 Ng, TS1 |
| Issue Date | 1990 |
| Citation | Ieee Transactions On Circuits And Systems, 1990, v. 37 n. 4, p. 550-554 [How to Cite?] DOI: http://dx.doi.org/10.1109/31.52760 |
| Abstract | A stability table in which F(x, z) = Σaj(x)zj, for y = 0 to n, where aj(x) are real polynomials of order n1, called a polynomial array, is presented, and a systematic procedure for constructing its entries is given. The polynomial array is then used to test the stability of 2-D filters. This is accomplished by first forming a polynomial with real coefficients from the 2-D filter characteristic polynomial F(z1, z2), followed by constructing the polynomial array and then applying the appropriate stability test. This procedure is proved to be equivalent to testing (F(z1, z2) directly. A number of examples are given to illustrate the proposed methodology. |
| ISSN | 0098-4094 |
| DOI | http://dx.doi.org/10.1109/31.52760 |
| ISI Accession Number ID | WOS:A1990DF72400014 |
| dc.contributor.author | Hu, Xiheng |
|---|---|
| dc.contributor.author | Ng, TS |
| dc.date.accessioned | 2012-08-08T08:31:07Z |
| dc.date.available | 2012-08-08T08:31:07Z |
| dc.date.issued | 1990 |
| dc.description.abstract | A stability table in which F(x, z) = Σaj(x)zj, for y = 0 to n, where aj(x) are real polynomials of order n1, called a polynomial array, is presented, and a systematic procedure for constructing its entries is given. The polynomial array is then used to test the stability of 2-D filters. This is accomplished by first forming a polynomial with real coefficients from the 2-D filter characteristic polynomial F(z1, z2), followed by constructing the polynomial array and then applying the appropriate stability test. This procedure is proved to be equivalent to testing (F(z1, z2) directly. A number of examples are given to illustrate the proposed methodology. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | Ieee Transactions On Circuits And Systems, 1990, v. 37 n. 4, p. 550-554 [How to Cite?] DOI: http://dx.doi.org/10.1109/31.52760 |
| dc.identifier.doi | http://dx.doi.org/10.1109/31.52760 |
| dc.identifier.epage | 554 |
| dc.identifier.isi | WOS:A1990DF72400014 |
| dc.identifier.issn | 0098-4094 |
| dc.identifier.issue | 4 |
| dc.identifier.scopus | eid_2-s2.0-0025416556 |
| dc.identifier.spage | 550 |
| dc.identifier.uri | http://hdl.handle.net/10722/154909 |
| dc.identifier.volume | 37 |
| dc.language | eng |
| dc.relation.ispartof | IEEE Transactions on Circuits and Systems |
| dc.title | 2-D filter stability tests using polynomial array |
| dc.type | Article |
Author Affiliations
- University of Wollongong