English

On sub-ideal causal smoothing filters

Optimization and Control 2011-08-30 v3 Systems and Control Classical Analysis and ODEs Spectral Theory

Abstract

Smoothing causal linear time-invariant filters are studied for continuous time processes. The paper suggests a family of causal filters with almost exponential damping of the energy on the higher frequencies. These filters are sub-ideal meaning that a faster decay of the frequency response would lead to the loss of causality.

Keywords

Cite

@article{arxiv.1012.5883,
  title  = {On sub-ideal causal smoothing filters},
  author = {Nikolai Dokuchaev},
  journal= {arXiv preprint arXiv:1012.5883},
  year   = {2011}
}
R2 v1 2026-06-21T17:05:05.990Z