Course Description

Course Description

Continuous-time and discrete-time signals and systems; System properties; Linear time-invariant (LTI) systems; convolution sum and the convolution integral representation, system properties. Fourier series: Representation of periodic continuous-time and discrete-time signals and filtering. Continuous time Fourier transform and its properties: Time and frequency shifting, conjugation, differentiation and integration, scaling, convolution, and the Parseval’s relation. Representation of aperiodic signals and the Discrete-time Fourier transform. Properties of the discrete-time Fourier transform.

Prerequisites

An understanding of basic concepts of linear systems; an understanding of the application of unilateral Laplace transforms; a familiarity with the solution of linear constant coefficient differential equations; a familiarity with complex numbers and calculus, including power series.