Prerequisite: ECE 601 or equivalent. The fundamentals of signal theory and transforms are introduced in this course. The representation of signals in the time and complex domains is covered. Z-transform is presented and Laplace transform to Z-transform mapping techniques are studied. Fourier analysis tools for analog and discrete-time signals are developed and tied with popular engineering applications. The subspace methods and eigendecomposition are studied. Their big data applications are presented. Basic design techniques to design digital filters are covered in this course.