The course deals with continuous and discrete time signals including sampling and reconstruction. Discrete linear time invariant systems (LTI ) and their connection with convolution as well as continuous LTI systems given by differential equations are considered. Transforms, including Fourier series, Fourier transform, discrete Fourier transform and z-transform are important tools. Frequency analysis of signals and discrete LTI systems and digital filter are some of the applications which are studied. An introduction to multiresolution analysis and wavelets is given. Different wavelet systems (orthogonal, biortogonala dimensional) are studied. Calculation of wavelet coefficients with filter banks are mainly done using computer software. Compulsory computer laboratory assignments are included. The course is more mathematics than applications oriented.
In a degree, this course may not be included together with another course with a similar content. If unsure, students should ask the Director of Studies in Mathematics and Mathematical Statistics. The course can also be included in the subject area of computational science and engineering.