Predictors for discrete time processes with energy decay on higher frequencies
arXiv:1112.1478 · doi:10.1109/TSP.2012.2212436
Abstract
The predictability of discrete-time processes is studied in a deterministic setting. A family of one-step-ahead predictors is suggested for processes of which the energy decays at higher frequencies. For such processes, the prediction error can be made arbitrarily small. The predictions can be robust with respect to the noise contamination at higher frequencies.
5 pages
References in corpus (2)
Cited by in corpus (14)
- Limited memory predictors based on polynomial approximation of periodic exponents
- Spectral representation of two-sided signals from and applications to signal processing
- Near-ideal predictors and causal filters for discrete time signals
- On sampling theorem with sparse decimated samples: exploring branching spectrum degeneracy
- On recovering missing values for sequences in a pathwise setting
- Predictability of sequences and subsequences with spectrum degeneracy at periodically located points
- On predictability of ultra short AR(1) sequences
- On detecting and quantification of randomness for one-sided sequences
- Sub-ideal causal smoothing filters for real sequences
- On recoverability of discrete time signals from sparse observations
- On recovery of sequences from subsequences: the case of non-periodic spectrum gaps
- Optimal data recovery and forecasting with dummy long-horizon forecasts
- On Nyquist-Shannon Theorem with one-sided half of sampling sequence
- Causal band-limitness and predictability criterions for one-sided sequences