Unit 1
Review of Mathematical Preliminaries, signals and systems course: Review of matrices – vector spaces and linear algebra – Linearly independent – Vector norms – Orthogonality – Eigen values – Eigen vectors – Covariance of matrices – Vector/ function space – Basis function – Orthogonal basis by sampling sine and cosine functions – Singular value decomposition. Significance of time-frequency domains – convolution – Fourier series – Fourier transforms – Review of Fourier theory and properties of fourier transform – DFT-FFT.