Course

EE-205: Signals and systems (for EL)

Lectures in this course (89)

Explains the Nyquist rate and Sampling Theorem for reconstructing band-limited signals through examples and sampling techniques.

Differential and Difference Equations

Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.

Z-Transform: Basics

Covers the Z-Transform, transfer function for LTI systems, and its properties, including linearity and time shift.

System Composition and Properties

Discusses LTI system composition, causality, stability, and output determination.

Z-Transforms: Poles and Zeros

Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.

Fourier Transform

Covers the Fourier Transform, essential for analyzing stable LTI systems through complex exponentials.

Z-Transform: Convergence and Poles

Covers the Z-transform, region of convergence, and examples of signals with multiple poles and finite-duration signals.

Fourier Pairs: Continuous-Time Transform

Explores Fourier pairs in continuous-time Fourier transform for signal analysis.

Stable LTI Systems: Frequency Response Analysis

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

Z-Transform Properties

Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.

Z-Transform: Basics and Applications

Covers the basics of the Z-Transform and explores examples of signals and feedback systems.

Geometric Response in LTI Systems

Explains geometric response in LTI systems and its relationship with impulse response.

Laplace Transform: Basics

Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Partial Fraction Expansion

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Laplace Transform Basics

Covers the Laplace transform basics, including examples of complex-valued poles and its application to LTI systems.

Discrete-Time Fourier Transform (DTFT)

Covers the Discrete-Time Fourier Transform, useful for analyzing stable LTI systems.

Laplace Transform: Basics and Properties

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

DTFT Properties

Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.

DTFT and Stable LTI Systems

Covers the analysis of stable LTI systems using the Discrete-Time Fourier Transform.

Laplace Transform: Basics

Covers the Laplace transform, region of convergence, impulse response, and multiple poles.