On sub-ideal causal smoothing filters
arXiv:1012.588314 citationsh-index: 17
Originality Synthesis-oriented
AI Analysis
Provides a theoretical contribution to filter design for continuous-time signal processing, but the results are incremental and lack empirical validation.
The paper proposes a family of causal smoothing filters that achieve almost exponential damping of high-frequency energy, approaching the theoretical limit where faster decay would break causality.
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.