In typical applications of science and engineering, we have to process signals, using systems. The applications vary from communication to control but the basic analysis and design tools are same. In a signals and systems course, we study all the fundamental tools like convolution, Fourier analysis, z-transform, and Laplace transform. To study the use of these tools in the analysis of linear time-invariant (LTI) systems with different signals is main aim of this course.

While most practical systems are nonlinear but to some extent, they can be analyzed assuming linear systems with acceptable accuracy and applying appropriate constraints. In addition, the analysis becomes much easier with this assumption.

For most practical systems, input and output signals are continuous and these signals can be processed using continuous systems. However, due to advances in digital systems technology and numerical algorithms, it is advantageous to process continuous signals using digital systems (systems using digital devices) by converting the input signal into a digital signal. Therefore, the study of both continuous and digital systems is required and both introduced in the course in detail.