Bayesian formulation of nonlinear filters and their electronic implementation

Sadanobu Yoshimoto, Kiichi Urahama

Research output: Contribution to journalArticlepeer-review


Fundamental nonlinear filters including Mfilters and order statistic filters are formulated generally by the maximum a-posteriori (MAP) estimation and some filters are derived with the aid of the Bayes formula. This MAP-filters reduces to M-filters if a-priori probability distribution is uniform, while the rank filters are derived when a-priori bias exists in the MAP estimation. This MAP-filters are implemented with an analog electronic circuit and the log-likelihood is shown to be a Liapunov function for the dynamics of this circuit.

Original languageEnglish
Pages (from-to)343-346
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number2
Publication statusPublished - 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics


Dive into the research topics of 'Bayesian formulation of nonlinear filters and their electronic implementation'. Together they form a unique fingerprint.

Cite this