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Lecture
Laplace Transform and LTI Systems
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Fourier and Laplace Transforms: Concepts and Applications
Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.
Signals, Instruments, and Systems: System Properties and Transforms
Introduces system properties, Laplace Transform, and analog filters for signal analysis.
Partial Fraction Expansion
Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.
Laplace Transform Application: LTI Systems
Covers the application of Laplace transform to LTI Systems, including examples and differential equations.
Frequency Response: LTI Systems
Explores the frequency response of stable LTI systems in both continuous-time and discrete-time domains.
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.
Fourier Transform: Derivatives and Formulas
Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.
Poisson Problem: Fourier Transform Approach
Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.
Frequency Response Interpretation
Explores the frequency response of stable LTI systems, focusing on its derivation and interpretation.
DTFT and Stable LTI Systems
Covers the analysis of stable LTI systems using the Discrete-Time Fourier Transform.
