Lectures related to Signals & Systems I: Characteristic Modes and Green Functions

Signals & Systems I: Characteristic Modes and Impulse Responses

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

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.

LTI Systems Properties

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

Mathematical Methods: Oscillations and Energy Transfer

Discusses oscillations, energy transfer, and the Green function in physics.

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.

Signals & Systems I: Convolution, Response of a System

Covers convolution, response of a system, and differential equations in signals & systems.

Stable LTI Systems: Frequency Response Analysis

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

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Frequency Response and Filters: Signals & Systems I

Explores frequency response, ideal filters, and linear phase in signals & systems.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Sensors: Measurement and Dynamic Characteristics

Explores sensors, dynamic characteristics, frequency response, and system behavior in robotics.

System Identification and Stability

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

Signals and Systems: Time Shift and Reflection

Explores time shift, reflection, response of a system, convolution, and differential equations in signals and systems.

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.

Harmonic Oscillator II: Forced, Resonance, Beats

Explores harmonic oscillators with damping and forcing, focusing on resonance and beats through experiments and mathematical analysis.

Laplace Transform and LTI Systems

Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.