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Sparsity Problem Involving Rational Basis Functions

  • Peter Kovacs (Speaker)

Activity: Talk or presentation › Poster presentation › science-to-science

Description

In this paper we consider the problem of sparse signal modeling by means of rational functions. Our dictionary is composed by a finite collection of elementary rational functions. In order to represent the signal with minimal error, we select an optimal number of basis from this set. The mutual coherence is a fundamental attribute of the dictionary. We analyze this quantity and describe its relation to the free parameters, i.e. the inverse poles, of rational functions. Then, we demonstrate the efficiency of sparse rational representations by compressing real electrocardiograms (ECG) including comparisons with other methods.
Period12 Jun 2018
Event titleIEEE Statistical Signal Processing Workshop (SSP 2018)
Event typeConference
LocationGermanyShow on map

Fields of science

  • 202037 Signal processing
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202022 Information technology

JKU Focus areas

  • Mechatronics and Information Processing
  • Engineering and Natural Sciences (in general)