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Lecture
Difference Equations
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Related lectures (31)
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Signals & Systems II: Difference Equations and Inverse Operators
Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.
Discrete Systems: Relations, Linear Dynamics, and Operators
Covers discrete systems, linear dynamics, causality, impulse response, convolution, and operators' effects.
Signals and Systems: Convolution and Fourier Transform
Covers convolution and Fourier transforms in linear time-invariant systems.
Signals, Instruments, and Systems: System Properties and Transforms
Introduces system properties, Laplace Transform, and analog filters for signal analysis.
LTI Systems and z-Transform
Covers LTI systems, z-Transform, and the Region of Convergence (ROC) with stability criteria and illustrative examples.
Differential and Difference Equations
Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.
Signals & Systems II: Difference Equations and Operators
Covers difference equations, z-transform method, system equivalence, and stability criteria.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Introduction to the z-Transform
Covers the z-Transform, LTI systems, and signal processing applications.
