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Stable LTI Systems: Frequency Response Analysis
This lecture covers the analysis of stable LTI systems using Fourier Transform, focusing on the frequency response and properties related to convolution and differentiation in time. It explains how the impulse response characterizes the stability of LTI systems and demonstrates the application of convolution properties in solving differential equations. Examples are provided to illustrate finding impulse responses for stable LTI systems. Additionally, it discusses differentiation and integration properties in time and frequency domains, as well as concepts like conjugate symmetry and Parseval's Equality.