Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction
| dc.contributor.author | Omar, Abdussalam | |
| dc.contributor.author | Shpak, Dale | |
| dc.contributor.author | Agathoklis, Panajotis | |
| dc.date.accessioned | 2023-12-08T21:20:48Z | |
| dc.date.available | 2023-12-08T21:20:48Z | |
| dc.date.copyright | 2023 | en_US |
| dc.date.issued | 2023 | |
| dc.description.abstract | This paper presents a new method for the design of separable-denominator 2-D IIR filters with nearly linear phase in the passband. The design method is based on a balanced realization model reduction technique. The nearly linear-phase 2-D IIR filter is designed using 2-D model reduction from a linear-phase 2-D FIR filter, which serves as the initial filter. The structured controllability and observability Gramians P^s and Q^s serve as the foundation for this technique. onal positive-definite matrices that satisfy 2-D Lyapunov equations. An efficient method is used to compute these Gramians by minimizing the traces of P^s and Q^s under linear matrix inequality (LMI) constraints. The use of these Gramians ensures that the resulting 2-D IIR filter preserves stability and can be implemented using a separable-denominator 2-D filter with fewer coefficients than the original 2-D FIR filter. Numerical examples show that the proposed method compares favorably with existing techniques. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This research was supported by NSERC of Canada. | en_US |
| dc.identifier.citation | Omar, A., Shpak, D., & Agathoklis, P. (2023). Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction. Signals, 4(4), 800–815. https://doi.org/10.3390/signals4040044 | en_US |
| dc.identifier.uri | https://doi.org/10.3390/signals4040044 | |
| dc.identifier.uri | http://hdl.handle.net/1828/15692 | |
| dc.language.iso | en | en_US |
| dc.publisher | Signals | en_US |
| dc.rights | Attribution 2.5 Canada | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/2.5/ca/ | * |
| dc.subject | 2-D IIR digital filters | |
| dc.subject | structured Gramians | |
| dc.subject | Lyapunov inequalities | |
| dc.subject | linear matrix inequalities (LMI) | |
| dc.subject | balanced truncation | |
| dc.subject.department | Department of Electrical and Computer Engineering | |
| dc.title | Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction | en_US |
| dc.type | Article | en_US |