Two-Dimensional Hankel Norm Performance of Roesser-Type Filters

Choon Ki Ahn, Peng Shi, Rongni Yang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This article introduces a novel approach to examining the unfavorable memory effects of two-dimensional (2-D) Roesser-type filters based on the 2-D Hankel norm performance. Novel analysis criteria are obtained such that the 2-D Roessertype filters associated with saturation have the guaranteed 2-D Hankel norm performance bound. These criteria can analyze the undesired effect reduction of Roesser-type filters for past horizontal and vertical excitations. Without external horizontal and vertical input signals, the 2-D asymptotic convergence of Roesser-type filters is ascertained under the proposed novel criteria. Finally, a numerical demonstration is given to verify the validity of the obtained criteria. The criteria presented in this paper for 2-D filters and those reported in our recent paper for one-dimensional (1-D) filters can provide a whole analysis framework for the undesired memory effects of filters.

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Publication statusAccepted/In press - 2020

Bibliographical note

Publisher Copyright:


  • Asymptotic stability
  • Boundary conditions
  • Convergence
  • Information filters
  • Memory effect
  • Roesser-type filter
  • Two dimensional displays
  • two-dimensional (2-D) Hankel norm performance

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Two-Dimensional Hankel Norm Performance of Roesser-Type Filters'. Together they form a unique fingerprint.

Cite this