Special Topics : Vector Space Methods in Signal Processing

Course content

Vector-space concepts in relation to signals and systems; signal subspaces; signal representation in different bases; norms and inner products; systems as operators; projectors; linear algebraic and statistical approaches to solving linear equations; least-squares problems; linear minimum mean square error estimation; solving large-dimensional linear equation systems; applications in signal processing including filter design, approximation, interpolation, data compression, signal estimation and inverse problems.