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The first one, like the TVAR model, employs a basis expansion of the filter coefficients.
The model is fitted by performing a two-stage linear transformation a basis expansion to each functional variable followed by principal component analysis for the concatenated basis coefficients.
The method estimates the timevarying impulse response function as a LPV Laguerre basis expansion whose coefficients are functions of a scheduling variable (SV).
For the second one, we utilise the fact that tonal instantaneous frequencies (IFs) are directly proportional to the angles of the roots of the denominator polynomial, and perform a basis expansion of the IFs.
Because wavelet basis expansion behaves as Karhunen Loève type expansion for fractional Brownian processes, we assume that the given image belongs to a 1st order or a 2nd order isotropic fractional Brownian field (IFBF).
This paper presents a new approach to modeling each inverse covariance matrix by basis expansion, where expansion coefficients are character-dependent while a common set of basis matrices are shared by all the character classes.
For complex multi-component signals of various morphological contents, the commonly used basis expansion based signal processing method lacks adaptability and flexibility, thus being ineffective to extract the embedded meaningful information.
Periodizing then combines fast multipole summation of nearest neighbors with an auxiliary global Helmholtz basis expansion to represent the distant contributions, and enforcing quasiperiodicity and radiation conditions on the unit cell walls.
Q is the number of basis functions used in the basis expansion modeling.
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A basis expansion-based suboptimal algorithm is developed to reduce the prohibitive complexity of the optimal solution.
While [6] directly computes the channel parameters, [7] estimates the parameters of a basis expansion-based parametric channel model assuming the channel delays are known.
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