Institutionen för systemteknik (ISY)

The B-Spline Channel Representation: Channel Algebra and Channel Based Diffusion Filtering

Michael Felsberg, Hanno Scharr, Per-Erik Forssén
LiTH-ISY-R-2461
September 2002

Abstract

In this paper we consider the channel representation based upon quadratic B-splines from a statistical point of view. Interpreting the channel representation as a kernel method for estimating probability density functions, we establish a channel algebra which allows to perform basic algebraic operations on measurements directly in the channel representation. Furthermore, as a central point, we identify the smoothing of channel values with a robust estimator, or equivalently, a diffusion process.

Keywords

channel representation, splines, kernel method, channel algebra, robust estimator, diffusion

Full Paper

Portable document format file PDF ()

---

Bibtex entry

@TechReport{fsf02,
  author = 	 {Michael Felsberg and Hanno Scharr and Per-Erik Forss\'en},
  title = 	 {The {B}-Spline Channel Representation: Channel Algebra and
                  Channel Based Diffusion Filtering},
  institution =  {Dept. EE, Link\"oping University},
  year = 	 {2002},
  number = 	 {LiTH-ISY-R-2461},
  address = 	 {SE-581 83 Link\"oping, Sweden},
  month = 	 {September}
}