Search for tag: "sinusoids"

This Topic provides a derivation of the Complex Fourier series, given the Trigonometric Fourier series and the concept of complex phasors. This further topic is there for students interested in…

This Topic gives a revision of Trigonometric Fourier Series. It builds on the motivation for using signal decompositions for analysing signals, and decomposes any finite power periodic signal…

This topic discusses signal decompositions by recalling the Fourier series decomposition, and explaining how this can be used in finding solutions to ordinary differential equations (ODEs) to an…

This topic uses linear system theory to motivate looking at methods for signal decompositions. It starts by observing that linear systems can be described by ordinary differential equations…

The special case of linear least squares is presented as an extremely useful estimation approach, in cases when the signal model can be written as a linear combination of known basis functions, with…