Lectures related to Signals & Systems II: Convolution and Stability

Nyquist Introduction

Introduces the Nyquist criterion to determine system stability and covers BIBO stability and stability conditions.

Linear Systems: Stability and Solutions

Explores stability and solutions of linear systems in continuous and discrete time.

Signals & Systems I: Characteristic Modes and Impulse Responses

Explores characteristic modes, impulse responses, and system stability in signals and systems.

Linear Time Invariant Systems: Impulse Response and Convolution

Covers linear time invariant systems, focusing on impulse response and convolution.

Stability in Feedback Systems

Explores BIBO stability in feedback systems, covering criteria, Nyquist criterion, and system sampling impact.

System Identification and Stability

Explores system identification, stability criteria, and challenges in stabilizing cameras on moving platforms.

Signals & Systems II: Difference Equations and Inverse Operators

Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.

Signal and System Analysis: Impulse Response and Convolution

Covers the analysis of LTI systems using impulse response and convolution.

Region of Convergence and Stability

Explains Region of Convergence and system stability in signal processing.

Signals & Systems II: Properties and Stability

Explores properties and stability of signals and systems, including causal systems and compositional stability in convolution.

System Composition and Properties

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

1st Harmonic: Stability and Adaptation

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Passivity, Stability and Circle Criterion

Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.

Stability: General Notions

Covers the general notions of stability in linear systems and the relationship between bounded inputs and bounded outputs.

LTI Systems Analysis

Covers the analysis of LTI communication systems through Fourier transforms and system stability.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Stability of LTI Systems: Equilibria and Lyapunov Theory

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Signals & Systems Review

Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.

Filter stability: BIBO and FIR filters

Explores filter stability, BIBO criterion, FIR stability, and IIR stability checking.

Signals & Systems II: Roots, Equations, and Impulse Responses

Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.