Mathematics in Signal Processing

From matrix to tensor: multilinear algebra and signal processing; The analysis of linear functions using geometric algebraan alternative to matrices and tensors; Rational approximation using Grobner bases: some numerical results; Grobner basis design of incomplete Chebyshev polynomials; Fractals, linear channels, and delay methods; Blind binary signal separation using joint diagonalization techniques; Adaptive algorithms for single user blind channel equalization; Assessing stability for adaptive filtering algorithms in signal processing; Constrained Kalman filter for least-squares estimation of time-varying beamforming weights; Using algorithmic engineering to derive a fast parallel weight extraction algorithm based on QRD recursive least squares; The simultaneous strict positive real problem: similarities with the simultaneous stability problem and applications in adaptive recursive algorithms; Asymptotic performance analysis of Yang's subspace tracking algorithm; Generalized prediction error approach to spectral analysis and filtering of irregularly-sampled data; Decaying exponentials and signal decomposition; Robust envelope-constrained filter design; On the use of positivity in reconstructing images from noisy data; Treatment of noise in positive reconstructions in linear inverse problems; Ill conditioning and gradient based optimization of multi-layer perceptrons; Online modelling of time series with resource allocating neural networks; Bayesian model selection for linear and non-linear time series using the Gibbs sampler; Bayesian image estimation from sparse raw MRI data; Polynomial models for 3D motion parameters and depth estimation in monocular computer vision; Symmetry and wavelet transforms for image data compression; Vanishing moments and biorthogonal wavelet systems; On sliding window schemes for discrete least-squares approximation by trigonometric polynomials; Jump detection by Pade approximation; Discrete simulation models for multidimensional systems based on functional transformations; Analytic performance evaluation of third-order statistics based estimators for Allpass identification; Detection of sleep apnoea using time-frequency analysis of heart rate variability; Robust estimation of oceanic background spectrum