On the Lossless II-Cascade Synthesis of a Bounded Complex Digital Filter
Summary :
A bounded complex (BC) digital transfer function realized with a II-cascade structure of Lossless Bounded Complex (LBC) two-pairs is known to have low magnitude sensitivity. In this letter, it is shown that the two-pairs parameters depend directly on some invariants of the transfer function corresponding to the transmission zeros of the structure. An analysis of the existence and the numbering of these invariants leads to a simplified automated LBC filter structure design avoiding the need for polynomial manipulations. These results are also easily applied for the real filtering case.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.7 pp.1206-1211
- Publication Date
- 1994/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Linear and Nonlinear Digital Filters
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Abdesselam KLOUCHE-DJEDID, "On the Lossless II-Cascade Synthesis of a Bounded Complex Digital Filter" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 7, pp. 1206-1211, July 1994, doi: .
Abstract: A bounded complex (BC) digital transfer function realized with a II-cascade structure of Lossless Bounded Complex (LBC) two-pairs is known to have low magnitude sensitivity. In this letter, it is shown that the two-pairs parameters depend directly on some invariants of the transfer function corresponding to the transmission zeros of the structure. An analysis of the existence and the numbering of these invariants leads to a simplified automated LBC filter structure design avoiding the need for polynomial manipulations. These results are also easily applied for the real filtering case.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_7_1206/_p
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@ARTICLE{e77-a_7_1206,
author={Abdesselam KLOUCHE-DJEDID, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Lossless II-Cascade Synthesis of a Bounded Complex Digital Filter},
year={1994},
volume={E77-A},
number={7},
pages={1206-1211},
abstract={A bounded complex (BC) digital transfer function realized with a II-cascade structure of Lossless Bounded Complex (LBC) two-pairs is known to have low magnitude sensitivity. In this letter, it is shown that the two-pairs parameters depend directly on some invariants of the transfer function corresponding to the transmission zeros of the structure. An analysis of the existence and the numbering of these invariants leads to a simplified automated LBC filter structure design avoiding the need for polynomial manipulations. These results are also easily applied for the real filtering case.},
keywords={},
doi={},
ISSN={},
month={July},}
Copy
TY - JOUR
TI - On the Lossless II-Cascade Synthesis of a Bounded Complex Digital Filter
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1206
EP - 1211
AU - Abdesselam KLOUCHE-DJEDID
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1994
AB - A bounded complex (BC) digital transfer function realized with a II-cascade structure of Lossless Bounded Complex (LBC) two-pairs is known to have low magnitude sensitivity. In this letter, it is shown that the two-pairs parameters depend directly on some invariants of the transfer function corresponding to the transmission zeros of the structure. An analysis of the existence and the numbering of these invariants leads to a simplified automated LBC filter structure design avoiding the need for polynomial manipulations. These results are also easily applied for the real filtering case.
ER -
English
