sigmals and systems introduction to signals ece lecture notes

Description

This course provides a comprehensive introduction to the analysis and characterization of signals and systems. It serves as a foundational course for fields such as communications, control systems, and signal processing.

Course Objectives:

• Understand the basic properties and classifications of signals and systems.

• Analyze linear time-invariant (LTI) systems using time-domain and frequency-domain methods.

• Apply Fourier, Laplace, and Z-transforms to signal and system analysis.

• Develop problem-solving skills in both continuous-time and discrete-time domains.

Topics Covered:

• Classification of Signals (Continuous-time, Discrete-time, Periodic, Aperiodic)

• Basic Signal Operations and Properties

• Classification and Properties of Systems

• Linear Time-Invariant (LTI) Systems

• Convolution and Impulse Response

• Fourier Series and Fourier Transform

• Laplace Transform and System Analysis

• Z-Transform and Discrete-Time System Analysis

• Sampling Theorem and Reconstruction

Learning Outcomes:

By the end of the course, students will be able to:

• Represent and manipulate various types of signals.

• Analyze LTI systems in time and frequency domains.

• Use mathematical tools for system characterization.

• Interpret the effects of systems on signals using transforms.

Prerequisites:

• Basic Calculus

• Differential Equations

• Introductory Linear Algebra (recommended)