English

Adaptive Smoothing of the Log-Spectrum with Multiple Tapering

Methodology 2019-12-03 v1 Audio and Speech Processing Signal Processing Statistics Theory Data Analysis, Statistics and Probability Statistics Theory

Abstract

A hybrid estimator of the log-spectral density of a stationary time series is proposed. First, a multiple taper estimate is performed, followed by kernel smoothing the log-multiple taper estimate. This procedure reduces the expected mean square error by (π2/4)4/5(\pi^2/ 4)^{4/5} over simply smoothing the log tapered periodogram. A data adaptive implementation of a variable bandwidth kernel smoother is given.

Keywords

Cite

@article{arxiv.1803.03995,
  title  = {Adaptive Smoothing of the Log-Spectrum with Multiple Tapering},
  author = {Kurt S. Riedel and A. Sidorenko},
  journal= {arXiv preprint arXiv:1803.03995},
  year   = {2019}
}