Introduction to Frequency Domain Analysis

In this video we introduce the concept of frequency domain analysis for a linear dynamic system. At its core, this involves understanding how the system responds to sinusoidal inputs at steady state. We derive the relationship that shows that for a linear system, when it is subjected to a sin wave input, the output at steady state is the same sin wave but the amplitude is modified and the phase is shifted.

Topics and timestamps:
0:00 – Introduction
4:05 – Partial fraction expansion
15:55 – Response of system in time domain
40:56 – Steady state response of system
51:33 – Example
1:01:35 – Summary (single core idea/equation)

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