Spline-based spectrum cartography for cognitive radios

  • Authors:
  • Gonzalo Mateos;Juan-Andrés Bazerque;Georgios B. Giannakis

  • Affiliations:
  • Dept. of ECE, University of Minnesota, Minneapolis, MN;Dept. of ECE, University of Minnesota, Minneapolis, MN;Dept. of ECE, University of Minnesota, Minneapolis, MN

  • Venue:
  • Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
  • Year:
  • 2009

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Abstract

A cooperative approach to the sensing task of wireless cognitive radio (CR) networks is introduced based on a spatial model of the power spectrum density (PSD). The model entails a basis expansion of the PSD in frequency, weighted by unknown spatial functions that are estimated from CR measurements. A novel model estimator is developed using a least-squares (LS) criterion regularized with a smoothing penalty. The estimator yields a finitely-parameterized two-dimensional surface spanned by thin-plate splines, which approximates the distribution of power in space. An online PSD tracker is also developed for slowly time-varying power spectra. Different from existing approaches to interference spectrum cartography, the novel sensing scheme neither requires knowledge of second-order spatial statistics, nor it relies on stationarity assumptions.