6533b836fe1ef96bd12a1baa
RESEARCH PRODUCT
Non-parametric spectrum cartography using adaptive radial basis functions
Mohamed HamidBaltasar Beferull-lozanosubject
Nonparametric statisticsCentroid020302 automobile design & engineering020206 networking & telecommunications02 engineering and technologyFunction (mathematics)Least squaresRegularization (mathematics)Quadratic equation0203 mechanical engineering0202 electrical engineering electronic engineering information engineeringRadial basis functionCartographyInterpolationMathematicsdescription
This paper presents a framework for spectrum cartography based on the use of adaptive Gaussian radial basis functions (RBF) centered around a specific number of centroid locations, which are determined, jointly with the other RBF parameters, by the available measurement values at given sensor locations in a specific geographical area. The spectrum map is constructed non-parametrically as no prior knowledge about the transmitters is assumed. The received signal power at each location (over a given bandwidth and time period) is estimated as a weighted contribution from different RBF, in such a way that the both RBF parameters and the weights are jointly optimized using an alternating minimization method with a least squares loss function and a quadratic regularization term. Our method is evaluated through simulations, showing a performance (in terms of normalized MSE) that is comparable to semi-parametric methods, and even superior as the number of sensors or RBF increases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-01 | 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |